1Tecnológico Nacional de México/ITS de Los Reyes. Carretera Los Reyes-Jacona, Col. Libertad. 60300. Los Reyes de Salgado, Michoacán. México.
email@example.com – 3541013901 (*Autor de correspondencia)
2Instituto de Ciencias Aplicadas y Tecnología, UNAM. Cto. Exterior S/N, C.U., Coyoacán, 04510, Ciudad de México. México. 3Riego y Drenaje. Instituto Mexicano de Tecnología del Agua. Paseo Cuauhnáhuac 8532, Progreso, Jiutepec, Morelos, C.P. 62550. México.
공학에서 유체의 거동은 설명하기에 광범위하고 복잡한 과정이며, 유체역학은 유체의 거동을 지배하는 방정식을 통해 유체 역학 현상을 분석할 수 있는 과학 분야이지만 이러한 방정식에는 전체 솔루션이 없습니다. . 전산유체역학(Computational Fluid Dynamics, 이하 CFD)은 수치적 기법을 통해 방정식의 해에 접근할 수 있는 도구로, 신뢰할 수 있는 계산 모델을 얻기 위해서는 물리적 모델의 실험 데이터로 평가해야 합니다. 수력구조물에서 선형 및 미로형 여수로에서 시뮬레이션을 수행하고 배출 시트의 거동과 현재의 폭기 조건을 분석했습니다. 침강기에서 유체의 특성화를 수행하고 필요한 특성에 따라 사체적, 피스톤 또는 혼합의 분수를 수정하는 것이 가능합니다. 농업에서는 온실 환경을 특성화하고 환경에 대한 재료의 디자인, 방향 및 유형 간의 관계를 찾는 데 사용할 수 있습니다. 발견된 가장 중요한 결과 중 온실의 길이와 설계가 환기율에 미칠 수 있는 영향으로 온실의 길이는 높이의 6배 미만인 것이 권장됩니다.
키워드: Computational Fluid Dynamics, 온실,
Spillway, Settler 기사: COMEII-21048 소개
CFD는 유체 운동 문제에 대한 수치적 솔루션을 얻어 수리학적 현상을 더 잘 이해할 수 있게 함으로써 공간 시각화를 가능하게 하는 수치 도구입니다. 예를 들어, 수력 공학에서 벤츄리(Xu, Gao, Zhao, & Wang, 2014) 워터 펌핑(ȘCHEAUA, 2016) 또는 개방 채널 적용( Wu et 알., 2000).
문헌 검토는 실험 연구에서 검증된 배수로의 흐름 거동에 대한 수리학적 분석을 위한 CFD 도구의 효율성을 보여줍니다. 이 검토는 둑의 흐름 거동에 대한 수리학적 분석을 위한 CFD의 효율성을 보여줍니다. Crookston et al. (2012)는 미로 여수로에 대해 Flow 3D로 테스트를 수행했으며, 배출 계수의 결과는 3%에서 7%까지 다양한 오류로 실험적으로 얻은 결과로 허용 가능했으며 연구 결과 측면에 저압 영역이 있음을 발견했습니다. 익사 방식으로 작업할 때 위어의 벽. Zuhair(2013)는 수치 모델링 결과를 Mandali weir 원형의 실험 데이터와 비교했습니다.
최근 연구에서는 다양한 난류 모델을 사용하여 CFD를 적용할 가능성이 있음을 보여주었습니다. 그리고 일부만이 음용수 처리를 위한 침적자의 사례 연구를 제시했으며, 다른 설계 변수 중에서 기하학적인 대안, 수온 변화 등을 제안했습니다. 따라서 기술 개발로 인해 설계 엔지니어가 유체 거동을 분석하는 데 CFD 도구를 점점 더 많이 사용하게 되었습니다.
보호 농업에서 CFD는 온실 환경을 모델링하고 보조 냉방 또는 난방 시스템을 통해 온실의 미기후 관리를 위한 전략을 제안하는 데 사용되는 기술이었습니다(Aguilar Rodríguez et al., 2020).
2D 및 3D CFD 모델을 사용한 본격적인 온실 시뮬레이션은 태양 복사 모델과 현열 및 잠열 교환 하위 모델의 통합을 통해 온실의 미기후 분포를 연구하는 데 사용되었습니다(Majdoubi, Boulard, Fatnassi, & Bouirden, 2009). 마찬가지로 이 모델을 사용하여 온실 설계(Sethi, 2009), 덮개 재료(Baxevanou, Fidaros, Bartzanas, & Kittas, 2018), 시간, 연중 계절( Tong, Christopher, Li, & Wang, 2013), 환기 유형 및 구성(Bartzanas, Boulard, & Kittas, 2004).
CFD 거래 프로그램은 사용자 친화적인 플랫폼으로 설계되어 결과를 쉽게 관리하고 이해할 수 있습니다.
Aguilar-Rodriguez, C.; Flores-Velazquez, J.; Ojeda-Bustamante, W.; Rojano, F.; Iñiguez- Covarrubias, M. 2020. Valuation of the energyperformance of a greenhouse with
an electric heater using numerical simulations. Processes, 8, 600.
Aguilar-Rodriguez, C.; Flores-Velazquez, J.; Rojano, F.; Ojeda-Bustamante, W.; Iñiguez- Covarrubias, M. 2020. Estimación del ciclo de cultivo de tomate (Solanum
lycopersicum L.) en invernadero, con base en grados días calor (GDC) simulados con CFD. Tecnología y ciencias del agua, ISSN 2007-2422, 11(4), 27-57. Al-Sammarraee, M., y Chan, A. (2009). Large-eddy simulations of particle sedimentation in a longitudinal sedimentation basin of a water treatment plant. Part 2: The effects of baffles. Chemical Engineering Journal, 152(2-3), 315-321. doi:https://doi.org/10.1016/j.cej.2009.01.052. Bartzanas, T.; Boulard, T.; Kittas, C. 2004. Effect of vent arrangement on windward ventilation of a tunnel greenhouse. Biosystems Engineering, 88(4). Baxevanou, C.; Fidaros, D.; Bartzanas, T.; Kittas, C. 2018. Yearly numerical evaluation of greenhouse cover materials. Computers and Electronics in Agriculture, 149, 54–
DOI: https://doi.org/10.1016/j.compag.2017.12.006. Crookston, B. M., & Tullis, B. P. 2012. Labyrinth weirs: Nappe interference and local submergence. Journal of Irrigation and Drainage Engineering, 138(8), 757-765. Fernández, J. M. 2012. Técnicas numéricas en Ingeniería de Fluidos: Introducción a la Dinámica de Fluidos Computacional (CFD) por el Método de Volumen Finito; Reverté, Barcelona, pp. 98-294. Goula, A., Kostoglou, M., Karapantsios, T., y Zouboulis, A. (2008). The effect of influent temperature variations in a sedimentation tank for potable water treatment— A computational fluid dynamics study. Water Research, 42(13), 3405-3414. doi://doi.org/10.1016/j.watres.2008.05.002. Majdoubi, H.; Boulard, T.; Fatnassi, H.; Bouirden, L. 2009. Airflow and microclimate patterns in a one-hectare Canary type greenhouse: an experimental and CFD assisted study. Agricultural and Forest Meteorology, 149(6-7), 1050-1062. Ramirez-Ruiz Candido (2019). Estudio hidrodinámico de sedimentadores de alta tasa en plantas potabilizadoras utilizando dinámica de fluidos computacional (CFD). Universidad Nacional Autónoma de México. Tesis de maestría. Sánchez, J. M. C., & Elsitdié, L. G. C. 2011. Consideraciones del mallado aplicadas al cálculo de flujos bifásicos con las técnicas de dinámica de fluidos computacional. J. Introd. Inv. UPCT., 4, 33-35. Sethi, V.P. 2009. On the selection of shape and orientation of a greenhouse: Thermal modeling and experimental validation, Sol. Energy, 83, 21–38. ȘCHEAUA, F. 2016. AGRICULTURAL FIELD IRRIGATION SOLUTION BASED ON VENTURI NOZZLE γ 2 g γ 2 g. JOURNAL OF INDUSTRIAL DESIGN AND ENGINEERING GRAPHICS, 2(1), 31–35.
Tong, G.; Christopher, D.; Li, T.; Wang, T. 2013. Passive solar energy utilization: a review of cross-section building parameter selection for Chinese solar greenhouses. Renewable and Sustainable Energy Reviews, 26, 540-548.
Xu, Y., Gao, L., Zhao, Y., & Wang, H. 2014. Wet gas overreading characteristics of a long- throat Venturi at high pressure based on CFD. Flow Measurement and
Instrumentation, 40, 247–255. https://doi.org/10.1016/j.flowmeasinst.2014.09.004 Wu, W., Rodi, W y Wenka, T. 2000. 3D numerical modeling of flow and sediment transport in open channels. ASCE Journal of Hydraulic Engineering. Vol 126 Num 1. Zuhair al zubaidy, Riyadh. 2013. Numerical Simulation of Two-Phase Flow. En:International Journal of Structural and Civil Engineering Research. Vol 2, No 3; 13p
Simulation of Dam-Break Flood Wave and Inundation Mapping: A Case study of Attabad Lake
Wasim Karam1, Fayaz A. Khan2, Muhammad Alam3, Sajjad Ali4 1Lab. Engineer, Department of Civil Engineering, University of Engineering and Technology Mardan, Pakistan, firstname.lastname@example.org 2Assistant Professor, National Institute of Urban Infrastructure Planning, University of Engineering and Technology Peshawar, Pakistan, email@example.com 3,4Assistant Professor, Department of Civil Engineering, University of Engineering and Technology Mardan, Pakistan, firstname.lastname@example.org, email@example.com
산사태 또는 제방 댐의 파손 연구는 구성이 불확실하고 자연적이며 재해에 대해 적절하게 설계되지 않았기 때문에 다른 자연적 사건에 대한 대응 지식이 부족하기 때문에 더 중요합니다. 이 논문은 댐 파괴의 수력학적 모델링의 다양한 방법을 개선하는 것을 목표로 합니다.
현재 이 연구에서 Attabad 호수의 댐 붕괴는 전산 유체 역학 기술을 사용하여 시뮬레이션됩니다. 수치 모델(FLOW-3D)은 Reynolds 평균 Navier-Stoke 방정식을 완전히 3D로 풀어서 다양한 단면에서의 피크 유량 깊이, 피크 속도, 피크 방전, 피크 깊이까지의 시간 및 피크 방전까지의 시간을 예측하기 위해 개발되었습니다.
표준 RNG 난류 모델을 사용하여 난류를 시뮬레이션한 다음 마을의 흐름에 대한 홍수 범람 지도와 속도 벡터를 그립니다. 결과는 Hunza 강의 수로를 통해 모델링된 홍수파의 대부분이 Hunza 강의 범람원에 포함되지만 Hunza 강의 범람원 내부에 위치한 Miaun 및 chalat와 같은 일부 마을의 경우 더 높은 위험에 있음을 보여줍니다.
그러나 이들 마을의 예상 홍수 도달 시간은 각각 31분과 44분으로 인구를 안전한 지역으로 대피시키기에 충분한 시간인 반면, 알리 아바드에 인접한 하산 아바드와 같은 일부 마을의 경우 침수 위험이 더 높은 반면 마을의 예상 홍수 도착 시간은 12분으로 인구 대피에 충분하지 않으므로 홍수 억제를 위한 추가 홍수 보호 구조가 필요합니다.
최고속도의 추정치는 하천평야의 더 높은 전단응력, 심한 침식의 위험, 농경지 피해, 주거지 및 형태학적 변화가 예상됨을 의미한다. 댐 파손 분석(예: 최고 깊이, 최고 속도, 홍수 도달 시간 및 홍수 범람 지도)은 향후 위험 분석 및 홍수 관리의 지침으로만 사용해야 합니다.
. Zhang, L. & Peng, M. & Chang, D.S. & Xu, Y. (2015). Dam Failure Mechanisms and Risk Assessment, First Ed. John Wiley and Sons, Singapore 473 pp. 10.1002/9781118558522. . T. L. Wahl, “Dam Breach Modeling – an Overview of Analysis Methods,” 2nd Jt. Fed. Interagency Conf. Las Vegas, NV, pp. 1–12, 2010. . Khosravi K. “Dam Break Analysis and Flood Inundation Mapping : The Case Study of Sefid-Rud Dam,” no. August 2019. DOI: 10.1016/B978-0-12-815998-9.00031-2 . Robb, D. M., & Vasquez, J. A. (2015). Numerical simulation of dam-break flows using depth-averaged hydrodynamic and three-dimensional CFD models. 22nd Canadian Hydrotechnical Conference, (June). . Mohammad Rostami, M. S. (2015). Human Life Saving by Simulation of Dam Break using Flow-3D. Trend in Life Sciences, 4(3), 308–316 . Gharbi, M., Soualmia, A., Dartus, D., & Masbernat, L. (2016). Comparison of 1D and 2D hydraulic models for floods simulation on the Medjerda River in Tunisia. Journal of Materials and Environmental Science, 7(8), 3017–3026. https://doi.org/10.1080/153 . Andrei, A., Robert, B., & Erika, B. (2017). Numerical Limitations of 1D Hydraulic Models Using MIKE11 or HEC-RAS software – A case study of Baraolt River, Romania. IOP Conference Series: Materials Science and Engineering, 245(7). https://doi.org/10.1088/1757-899X/245/7/072010 . Henderson, F.M. (1966). Open Channel Flow. MacMillan Company, New York, USA, P. No 304-313 . Betsholtz, A., & Nordlöf, B. (2017). Potentials and limitations of 1D, 2D and coupled 1D-2D flood modeling in HEC-RAS. Lund University, 128. https://doi.org/10.1016/S0300-9440(03)00139-5 .Ozmen-Cagatay, H., & Kocaman, S. (2011). Dam-break flow in the presence of obstacle: Experiment and CFD simulation. Engineering Applications of Computational Fluid Mechanics, 5(4), 541–552. https://doi.org/10.1080/19942060.2011.11015393 .Toombes, L., & Chanson, H. (2011). Numerical Limitations of Hydraulic Models. 10th Hydraulics Conference, (July), 2322–2329. https://doi.org/10.1016/j.jalz.2016.06.1613 .Zarein, M. (2015). Modeling Dam-Break Flows Using a 3d Mike 3 Flow Model, (January). .George, A. C., & Nair, B. T. (2015). Dam Break Analysis Using BOSS DAMBRK. Aquatic Procedia, 4(Icwrcoe), 853–860. https://doi.org/10.1016/j.aqpro.2015.02.10 .S. Roga and K. M. Pandey, “Computational Analysis of Supersonic Flow Regime Using Ramp Injector with Standard K- ω Turbulence Model” .World Academy of research in Science and Engineering, vol. 2, no. 1, pp. 31–40, 2013.http:// doi.org/10.1.1.348.5862.
졸업 논문의 목표는 보스코비체 댐의 계획된 방수로의 흐름을 수치적으로 모델링하는 것입니다. 이 졸업 논문은 유형과 프로필에 따라 기본 여수로를 설명하고 나눕니다. 비상용 배수로도 언급되어 있습니다. 그런 다음 논문에서는 범람량 계산에 대한 설명, 수학적 모델링 및 사용된 난류 모델에 대한 설명을 소개합니다. 다음 부분은 Boskovice 댐의 기술적 설명, AutoCAD 2020 소프트웨어에서 방수로 및 방수로 슈트의 가상 3D 모델 생성 및 Blender 소프트웨어에서 모델의 제어 및 수정과 관련되어 있습니다. 논문 말미에는 Flow-3D 소프트웨어를 통해 얻은 유동의 수치적 모델링 결과와 BUT 토목공학부 수구조연구소에서 시행한 수리학적 모델 연구와 비교한 결과를 언급하였다.
The goal of the diploma thesis is the numerical modelling of flow in planned spillway of the Boskovice dam. In the introduction of this diploma thesis are described and divided basic spillways according to their types and profiles. There are also mentioned emergency spillways. Then the thesis introduces the description of calculation of overflow quantity, the description of mathematic modelling and used turbulent models. The next part is concerned with the technical description of the Boskovice dam, the creation of virtual 3D model of spillway and spillway chute in the AutoCAD 2020 software and concerned with the control and revision of model in the Blender software. In the end of the thesis are mentioned results of numeric modelling of flow gained from the Flow-3D software and the comparison of results with the research of hydraulic model implemented at Water structures institute of Faculty of Civil Engineering of BUT.
Numerické modelování proudění v bezpečnostním přelivu: Numerical modeling of flow in spilway
The goal of the diploma thesis is the numerical modelling of flow in planned spillway of the Boskovice dam. In the introduction of this diploma thesis are described and divided basic spillways according to their types and profiles. There are also mentioned emergency spillways. Then the thesis introduces the description of calculation of overflow quantity, the description of mathematic modelling and used turbulent models. The next part is concerned with the technical description of the Boskovice dam, the creation of virtual 3D model of spillway and spillway chute in the AutoCAD 2020 software and concerned with the control and revision of model in the Blender software. In the end of the thesis are mentioned results of numeric modelling of flow gained from the Flow-3D software and the comparison of results with the research of hydraulic model implemented at Water structures institute of Faculty of Civil Engineering of BUT.
Bezpečnostní přeliv; numerický model; 3D model; FLOW-3D; VD Boskovice; sypaná kamenitá hráz.; Spillway; numerical model; 3D model; FLOW-3D; Boskovice dam; rockfill dam.
Jandora, Jan (advisor); Holomek, Petr (referee)
Standardní licenční smlouva – přístup k plnému textu bez omezení
 JANDORA, Jan a Jan ŠULC. Hydraulika: Modul 01. Brno: AKADEMICKÉ NAKLADATELSTVÍ CERM, 2007. ISBN 978-80-7204-512-9.  BOOR, B., J. KUNŠTÁTSKÝ a C. PATOČKA. Hydraulika pro vodohospodářské stavby. Praha: SNTL, 1968. ISBN 04-710-68.  STARA, Vlastimil a Helena KOUTKOVÁ. 3. Vodohospodářská konference s mezinárodní účastí: Součinitel přepadu přelivu s kruhově zaoblenou korunou z fyzikálních experimentů. Brno, 2003. ISBN 80-86433-26-9.  ŘÍHA, Jaromír. Hydrotechnické stavby II: Modul 01 Přehrady. Studijní opora. FAST VUT v Brně 2006.  JANDORA, Jan. Matematické modelování ve vodním hospodářství. VUT v Brně, 2008.  KŘÍŽ, Tomáš. Manipulační řád pro vodní dílo Boskovice na toku Bělá v km 7,400. Brno, 2020.  ŠULC, Jan a Michal ŽOUŽELA. Hydraulický modelový výzkum bezpečnostního objektu VD Boskovice na ÚVS Stavební fakulty VUT v Brně. Výzkumná zpráva, LVV-ÚVSFAST VUT v Brně, 2013  Autodesk® AutoCAD® 2020 [Počítačový software]. (2019). https://www.autodesk.cz/  Blender v2.90 [Počítačový software]. (2020). https://www.blender.org/  FLOW-3D® verze 11.0.4 [Počítačový software]. (2015). Santa Fe, NM: Flow Science, Inc. https://www.flow3d.com  Why FLOW-3D? Flow-3D [online]. [cit. 2020-11-03]. Dostupné z: https://www.flow3d.com/products/flow-3d/why-flow-3d/  Podklady poskytnuté Ing. Petrem Holomkem (Povodí Moravy, s. p.)  CHANSON, H. a J.S. MONTES. Journal of Irrigation and Drainage Engineering: Overflow Characteristics of Circular Weirs: Effcets of Inflow Conditions. 3. Reston: The American Society of Civil Engineers, 1998. ISBN 0733-9437.  KRATOCHVÍL, Jiří, Miloš JANDA a Vlastimil STARA. Projektování přehrad: Komplexní projekt HT. Brno: Vysoké učení technické v Brně, 1988.  STUDNIČKA, Tomáš. Matematické modelování odlehčovacích komor na stokových sítích. Brno, 2013. Disertační práce. Vysoké učení technické v Brně, Fakulta stavební. Vedoucí práce Ing. Petr Prax, Ph.D.  ŘÍHA, Jaromír. Hydraulika podzemních vod: Modul 01. Studijní opora. FAST VUT v Brně 2006.
다중 재료 재료 분사 적층 제조 공정은 3차원(3D) 부품을 레이어별로 구축하기 위해 다양한 모델 및 지지 재료의 미세 액적을 증착합니다.
최근의 노력은 액체가 마이크로/밀리 채널에서 쉽게 퍼지할 수 있는 지지 재료로 작용할 수 있고 구조에 영구적으로 남아 있는 작동 유체로 작용할 수 있음을 보여주었지만 인쇄 프로세스 및 메커니즘에 대한 자세한 이해가 부족합니다.
액체 인쇄의 제한된 광범위한 적용. 이 연구에서 광경화성 및 광경화성 액체 방울이 동시에 증착되는 액체-고체 공동 인쇄라고 하는 “한 번에 모두 가능한” 다중 재료 인쇄 프로세스가 광범위하게 특성화됩니다. 액체-고체 공동 인쇄의 메커니즘은 실험적인 고속 이미징 및 CFD(전산 유체 역학) 연구를 통해 설명됩니다.
이 연구는 액체의 표면 장력이 액체 표면에서 광중합하여 재료의 단단한 층을 형성하는 분사된 광중합체 미세 방울을 지지할 수 있음을 보여줍니다.
마이크로/밀리 유체 소자의 액체-고체 공동 인쇄를 위한 설계 규칙은 믹서, 액적 발생기, 고도로 분기되는 구조 및 통합된 단방향 플랩 밸브와 같은 평면, 3D 및 복합 재료 마이크로/메조 유체 구조에 대한 사례 연구뿐만 아니라 제시됩니다.
우리는 액체-고체 공동 인쇄 과정을 마이크로/메조플루이딕 회로, 전기화학 트랜지스터, 칩 장치 및 로봇을 포함한 응용 프로그램을 사용하여 3D, 통합된 복합 재료 유체 회로 및 유압 구조의 단순하고 빠른 제작을 가능하게 하는 적층 제조의 핵심 새로운 기능으로 구상합니다.
Multi-material material jetting additive manufacturing processes deposit micro-scale droplets of different model and support materials to build three-dimensional (3D) parts layer by layer. Recent efforts have demonstrated that liquids can act as support materials, which can be easily purged from micro/milli-channels, and as working fluids, which permanently remain in a structure, yet the lack of a detailed understanding of the print process and mechanism has limited widespread applications of liquid printing. In this study, an “all in one go” multi-material print process, herein termed liquid–solid co-printing in which non photo-curable and photo-curable liquid droplets are simultaneous deposited, is extensively characterized. The mechanism of liquid–solid co-printing is explained via experimental high speed imaging and computational fluid dynamic (CFD) studies. This work shows that a liquid’s surface tension can support jetted photopolymer micro-droplets which photo-polymerize on the liquid surface to form a solid layer of material. Design rules for liquid–solid co-printing of micro/milli-fluidic devices are presented as well as case studies of planar, 3D, and multi-material micro/mesofluidic structures such as mixers, droplet generators, highly branching structures, and an integrated one-way flap valve. We envision the liquid–solid co-printing process as a key new capability in additive manufacturing to enable simple and rapid fabrication of 3D, integrated print-in-place multi-material fluidic circuits and hydraulic structures with applications including micro/mesofluidic circuits, electrochemical transistors, lab-on-a-chip devices, and robotics.
Additive manufacturing; Mesofluidics; Modeling and simulation; Multi-material; Material jetting
Investigating the breach outflow hydrograph is an essential task to conduct mitigation plans and flood warnings. In the present study, the spatial dam breach is simulated by using a three-dimensional computational fluid dynamics model, FLOW-3D. The model parameters were adjusted by making a comparison with a previous experimental model. The different parameters (initial breach shape, dimensions, location, and dam slopes) are studied to investigate their effects on dam breaching. The results indicate that these parameters have a significant impact. The maximum erosion rate and peak outflow for the rectangular shape are higher than those for the V-notch by 8.85% and 5%, respectively. Increasing breach width or decreasing depth by 5% leads to increasing maximum erosion rate by 11% and 15%, respectively. Increasing the downstream slope angle by 4° leads to an increase in both peak outflow and maximum erosion rate by 2.0% and 6.0%, respectively.
유출 유출 수문곡선을 조사하는 것은 완화 계획 및 홍수 경보를 수행하는 데 필수적인 작업입니다. 본 연구에서는 3차원 전산유체역학 모델인 FLOW-3D를 사용하여 공간 댐 붕괴를 시뮬레이션합니다. 이전 실험 모델과 비교하여 모델 매개변수를 조정했습니다.
다양한 매개변수(초기 붕괴 형태, 치수, 위치 및 댐 경사)가 댐 붕괴에 미치는 영향을 조사하기 위해 연구됩니다. 결과는 이러한 매개변수가 상당한 영향을 미친다는 것을 나타냅니다. 직사각형 형태의 최대 침식율과 최대 유출량은 V-notch보다 각각 8.85%, 5% 높게 나타났습니다.
위반 폭을 늘리거나 깊이를 5% 줄이면 최대 침식률이 각각 11% 및 15% 증가합니다. 하류 경사각을 4° 증가시키면 최대 유출량과 최대 침식률이 각각 2.0% 및 6.0% 증가합니다.
Spatial dam breach; FLOW-3D; Overtopping erosion; Computational fluid dynamics (CFD)
There are many purposes for dam construction, such as protection from flood disasters, water storage, and power generation. Embankment failures may have a catastrophic impact on lives and infrastructure in the downstream regions. One of the most common causes of embankment dam failure is overtopping. Once the overtopping of the dam begins, the breach formation will start in the dam body then end with the dam failure. This failure occurs within a very short time, which threatens to be very dangerous. Therefore, understanding and modeling the embankment breaching processes is essential for conducting mitigation plans, flood warnings, and forecasting flood damage.
The analysis of the dam breaching process is implemented by different techniques: comparative methods, empirical models with dimensional and dimensionless solutions, physical-based models, and parametric models. These models were described in detail . Parametric modeling is commonly used to simulate breach growth as a time-dependent linear process and calculate outflow discharge from the breach using hydraulics principles . Alhasan et al.  presented a simple one-dimensional mathematical model and a computer code to simulate the dam breaching process. These models were validated by small dams breaching during the floods in 2002 in the Czech Republic. Fread  developed an erosion model (BREACH) based on hydraulics principles, sediment transport, and soil mechanics to estimate breach size, time of formation, and outflow discharge. Říha et al.  investigated the dam break process for a cascade of small dams using a simple parametric model for piping and overtopping erosion, as well as a 2D shallow-water flow model for the flood in downstream areas. Goodarzi et al.  implemented mathematical and statistical methods to assess the effect of inflows and wind speeds on the dam’s overtopping failure.
Dam breaching studies can be divided into two main modes of erosion. The first mode is called “planar dam breach” where the flow overtops the whole dam width. While the second mode is called “spatial dam breach” where the flow overtops through the initial pilot channel (i.e., a channel created in the dam body). Therefore, the erosion will be in both vertical and horizontal directions .
The erosion process through the embankment dams occurs due to the shear stress applied by water flows. The dam breaching evolution can be divided into three stages , , but Y. Yang et al.  divided the breach development into five stages: Stage I, the seepage erosion; Stage II, the initial breach formation; Stage III, the head erosion; Stage IV, the breach expansion; and Stage V, the re-equilibrium of the river channel through the breach. Many experimental tests have been carried out on non-cohesive embankment dams with an initial breach to examine the effect of upstream inflow discharges on the longitudinal profile evolution and the time to inflection point.
Zhang et al.  studied the effect of changing downstream slope angle, sediment grain size, and dam crest length on erosion rates. They noticed that increasing dam crest length and decreasing downstream slope angle lead to decreasing sediment transport rate. While the increase in sediment grain size leads to an increased sediment transport rate at the initial stages. Höeg et al.  presented a series of field tests to investigate the stability of embankment dams made of various materials. Overtopping and piping were among the failure tests carried out for the dams composed of homogeneous rock-fill, clay, or gravel with a height of up to 6.0 m. Hakimzadeh et al.  constructed 40 homogeneous cohesive and non-cohesive embankment dams to study the effect of changing sediment diameter and dam height on the breaching process. They also used genetic programming (GP) to estimate the breach outflow. Refaiy et al.  studied different scenarios for the downstream drain geometry, such as length, height, and angle, to minimize the effect of piping phenomena and therefore increase dam safety.
Zhu et al.  examined the effect of headcut erosion on dam breach growth, especially in the case of cohesive dams. They found that the breach growth in non-cohesive embankments is slower than cohesive embankments due to the little effect of headcut. Schmocker and Hager  proposed a relationship for estimating peak outflow from the dam breach process.(1)QpQin-1=1.7exp-20hc23d5013H0
where: Qp = peak outflow discharge.
Qin = inflow discharge.
hc = critical flow depth.
d50 = mean sediment diameter.
Ho = initial dam height.
Yu et al.  carried out an experimental study for homogeneous non-cohesive embankment dams in a 180° bending rectangular flume to determine the effect of overtopping flows on breaching formation. They found that the main factors influencing breach formation are water level, river discharge, and embankment material diameter.
Wu et al.  carried out a series of experiments to investigate the effect of breaching geometry on both non-cohesive and cohesive embankment dams in a U-bend flume due to overtopping flows. In the case of non-cohesive embankments, the non-symmetrical lateral expansion was noticed during the breach formation. This expansion was described by a coefficient ranging from 2.7 to 3.3.
The numerical models of the dam breach can be categorized according to different parameters, such as flow dimensions (1D, 2D, or 3D), flow governing equations, and solution methods. The 1D models are mainly used to predict the outflow hydrograph from the dam breach. Saberi et al.  applied the 1D Saint-Venant equation, which is solved by the finite difference method to investigate the outflow hydrograph during dam overtopping failure. Because of the ability to study dam profile evolution and breach formation, 2D models are more applicable than 1D models. Guan et al.  and Wu et al.  employed both 2D shallow water equations (SWEs) and sediment erosion equations, which are solved by the finite volume method to study the effect of the dam’s geometry parameters on outflow hydrograph and dam profile evolution. Wang et al.  also proposed a second-order hybrid-type of total variation diminishing (TVD) finite-difference to estimate the breach outflow by solving the 2D (SWEs). The accuracy of (SWEs) for both vertical flow contraction and surface roughness has been assessed . They noted that the accuracy of (SWEs) is acceptable for milder slopes, but in the case of steeper slopes, modelers should be more careful. Generally, the accuracy of 2D models is still low, especially with velocity distribution over the flow depth, lateral momentum exchange, density-driven flows, and bottom friction. Therefore, 3D models are preferred. Larocque et al.  and Yang et al.  started to use three-dimensional (3D) models that depend on the Reynolds-averaged Navier-Stokes (RANS) equations.
Previous experimental studies concluded that there is no clear relationship between the peak outflow from the dam breach and the initial breach characteristics. Some of these studies depend on the sharp-crested weir fixed at the end of the flume to determine the peak outflow from the breach, which leads to a decrease in the accuracy of outflow calculations at the microscale. The main goals of this study are to carry out a numerical simulation for a spatial dam breach due to overtopping flows by using (FLOW-3D) software to find an empirical equation for the peak outflow discharge from the breach and determine the worst-case that leads to accelerating the dam breaching process.
A stereolithographic (STL) file is prepared for each change in the initial breach geometry and dimensions. The CAD program is useful for creating solid objects and converting them to STL format, as shown in Fig. 1.
2.2. Governing equations
The governing equations for water flow are three-dimensional Reynolds Averaged Navier-Stokes equations (RANS).
The momentum equation:(3)∂ui∂t+1VFuj∂ui∂xj=1ρ∂∂xj-pδij+ν∂ui∂xj+∂uj∂xi-ρu`iu`j¯
where u is time-averaged velocity,ν is kinematic viscosity, VF is fractional volume open to flow, p is averaged pressure and -u`iu`j¯ are components of Reynold’s stress. The Volume of Fluid (VOF) technique is used to simulate the free surface profile. Hirt et al.  presented the VOF algorithm, which employs the function (F) to express the occupancy of each grid cell with fluid. The value of (F) varies from zero to unity. Zero value refers to no fluid in the grid cell, while the unity value refers to the grid cell being fully occupied with fluid. The free surface is formed in the grid cells having (F) values between zero and unity.(4)∂F∂t+1VF∂∂xFAxu+∂∂yFAyv+∂∂zFAzw=0
where (u, v, w) are the velocity components in (x, y, z) coordinates, respectively, and (Ax, Ay, Az) are the area fractions.
2.3. Boundary and initial conditions
To improve the accuracy of the results, the boundary conditions should be carefully determined. In this study, two mesh blocks are used to minimize the time consumed in the simulation. The boundary conditions for mesh block 1 are as follows: The inlet and sides boundaries are defined as a wall boundary condition (wall boundary condition is usually used for bound fluid by solid regions. In the case of viscous flows, no-slip means that the tangential velocity is equal to the wall velocity and the normal velocity is zero), the outlet is defined as a symmetry boundary condition (symmetry boundary condition is usually used to reduce computational effort during CFD simulation. This condition allows the flow to be transferred from one mesh block to another. No inputs are required for this boundary condition except that its location should be defined accurately), the bottom boundary is defined as a uniform flow rate boundary condition, and the top boundary is defined as a specific pressure boundary condition with assigned atmospheric pressure. The boundary conditions for mesh block 2 are as follows: The inlet is defined as a symmetry boundary condition, the outlet is defined as a free flow boundary condition, the bottom and sides boundaries are defined as a wall boundary condition, and the top boundary is defined as a specific pressure boundary condition with assigned atmospheric pressure as shown in Fig. 2. The initial conditions required to be set for the fluid (i.e., water) inside of the domain include configuration, temperature, velocities, and pressure distribution. The configuration of water depends on the dimensions and shape of the dam reservoir. While the other conditions have been assigned as follows: temperature is normal water temperature (25 °c) and pressure distribution is hydrostatic with no initial velocity.
2.4. Numerical method
FLOW-3D uses the finite volume method (FVM) to solve the governing equation (Reynolds-averaged Navier-Stokes) over the computational domain. A finite-volume method is an Eulerian approach for representing and evaluating partial differential equations in algebraic equations form . At discrete points on the mesh geometry, values are determined. Finite volume expresses a small volume surrounding each node point on a mesh. In this method, the divergence theorem is used to convert volume integrals with a divergence term to surface integrals. After that, these terms are evaluated as fluxes at each finite volume’s surfaces.
2.5. Turbulent models
Turbulence is the chaotic, unstable motion of fluids that occurs when there are insufficient stabilizing viscous forces. In FLOW-3D, there are six turbulence models available: the Prandtl mixing length model, the one-equation turbulent energy model, the two-equation (k – ε) model, the Renormalization-Group (RNG) model, the two-equation (k – ω) models, and a large eddy simulation (LES) model. For simulating flow motion, the RNG model is adopted to simulate the motion behavior better than the k – ε and k – ω.
models . The RNG model consists of two main equations for the turbulent kinetic energy KT and its dissipation.εT(5)∂kT∂t+1VFuAx∂kT∂x+vAy∂kT∂y+wAz∂kT∂z=PT+GT+DiffKT-εT(6)∂εT∂t+1VFuAx∂εT∂x+vAy∂εT∂y+wAz∂εT∂z=C1.εTKTPT+c3.GT+Diffε-c2εT2kT
where KT is the turbulent kinetic energy, PT is the turbulent kinetic energy production, GT is the buoyancy turbulence energy, εT is the turbulent energy dissipation rate, DiffKT and Diffε are terms of diffusion, c1, c2 and c3 are dimensionless parameters, in which c1 and c3 have a constant value of 1.42 and 0.2, respectively, c2 is computed from the turbulent kinetic energy (KT) and turbulent production (PT) terms.
2.6. Sediment scour model
The sediment scour model available in FLOW-3D can calculate all the sediment transport processes including Entrainment transport, Bedload transport, Suspended transport, and Deposition. The erosion process starts once the water flows remove the grains from the packed bed and carry them into suspension. It happens when the applied shear stress by water flows exceeds critical shear stress. This process is represented by entrainment transport in the numerical model. After entrained, the grains carried by water flow are represented by suspended load transport. After that, some suspended grains resort to settling because of the combined effect of gravity, buoyancy, and friction. This process is described through a deposition. Finally, the grains sliding motions are represented by bedload transport in the model. For the entrainment process, the shear stress applied by the fluid motion on the packed bed surface is calculated using the standard wall function as shown in Eq.7.(7)ks,i=Cs,i∗d50
where ks,i is the Nikuradse roughness and Cs,i is a user-defined coefficient. The critical bed shear stress is defined by a dimensionless parameter called the critical shields number as expressed in Eq.8.(8)θcr,i=τcr,i‖g‖diρi-ρf
where θcr,i is the critical shields number, τcr,i is the critical bed shear stress, g is the absolute value of gravity acceleration, di is the diameter of the sediment grain, ρi is the density of the sediment species (i) and ρf is the density of the fluid. The value of the critical shields number is determined according to the Soulsby-Whitehouse equation.(9)θcr,i=0.31+1.2d∗,i+0.0551-exp-0.02d∗,i
where d∗,i is the dimensionless diameter of the sediment, given by Eq.10.(10)d∗,i=diρfρi-ρf‖g‖μf213
where μf is the fluid dynamic viscosity. For the sloping bed interface, the value of the critical shields number is modified according to Eq.11.(11)θ`cr,i=θcr,icosψsinβ+cos2βtan2φi-sin2ψsin2βtanφi
where θ`cr,i is the modified critical shields number, φi is the angle of repose for the sediment, β is the angle of bed slope and ψ is the angle between the flow and the upslope direction. The effects of the rolling, hopping, and sliding motions of grains along the packed bed surface are taken by the bedload transport process. The volumetric bedload transport rate (qb,i) per width of the bed is expressed in Eq.12.(12)qb,i=Φi‖g‖ρi-ρfρfdi312
where Φi is the dimensionless bedload transport rate is calculated by using Meyer Peter and Müller equation.(13)Φi=βMPM,iθi-θ`cr,i1.5cb,i
where βMPM,i is the Meyer Peter and Müller user-defined coefficient and cb,i is the volume fraction of species i in the bed material. The suspended load transport is calculated as shown in Eq.14.(14)∂Cs,i∂t+∇∙Cs,ius,i=∇∙∇DCs,i
where Cs,i is the suspended sediment mass concentration, D is the diffusivity, and us,i is the grain velocity of species i. Entrainment and deposition are two opposing processes that take place at the same time. The lifting and settling velocities for both entrainment and deposition processes are calculated according to Eq.15 and Eq.16, respectively.(15)ulifting,i=αid∗,i0.3θi-θ`cr,igdiρiρf-1(16)usettling,i=υfdi10.362+1.049d∗,i3-10.36
where αi is the entrainment coefficient of species i and υf is the kinematic viscosity of the fluid.
2.7. Grid type
Using simple rectangular orthogonal elements in planes and hexahedral in volumes in the (FLOW-3D) program makes the mesh generation process easier, decreases the required memory, and improves numerical accuracy. Two mesh blocks were used in a joined form with a size ratio of 2:1. The first mesh block is coarser, which contains the reservoir water, and the second mesh block is finer, which contains the dam. For achieving accuracy and efficiency in results, the mesh size is determined by using a grid convergence test. The optimum uniform cell size for the first mesh block is 0.012 m and for the second mesh block is 0.006 m.
2.8. Time step
The maximum time step size is determined by using a Courant number, which controls the distance that the flow will travel during the simulation time step. In this study, the Courant number was taken equal to 0.25 to prevent the flow from traveling through more than one cell in the time step. Based on the Courant number, a maximum time step value of 0.00075 s was determined.
2.9. Numerical model validation
The numerical model accuracy was achieved by comparing the numerical model results with previous experimental results. The experimental study of Schmocker and Hager  was based on 31 tests with changes in six parameters (d50, Ho, Bo, Lk, XD, and Qin). All experimental tests were conducted in a straight open glass-sided flume. The horizontal flume has a rectangular cross-section with a width of 0.4 m and a height of 0.7 m. The flume was provided with a flow straightener and an intake with a length of 0.66 m. All tested dams were inserted at various distances (XD) from the intake. Test No.1 from this experimental program was chosen to validate the numerical model. The different parameters used in test No.1 are as follows:
(1) uniform sediment with a mean diameter (d50 = 0.31 mm), (2) Ho = 0.2 m, (3) Bo = 0.2 m, (4) Lk = 0.1 m,
(5) XD = 1.0 m, (6) Qin = 6.0 lit/s, (7) Su and Sd = 2:1, (8) mass density (ρs = 2650 kg/m3) (9) Homogenous and non-cohesive embankment dam. As shown in Fig. 2, the simulation is contained within a rectangular grid with dimensions: 3.56 m in the x-direction (where 0.66 m is used as inlet, 0.9 m as dam base width, and 1.0 m as outlet), in y-direction 0.2 m (dam length), and in the z-direction 0.3 m, which represents the dam height (0.2 m) with a free distance (0.1 m) above the dam. There are two main reasons that this experimental program is preferred for the validation process. The first reason is that this program deals with homogenous, non-cohesive soil, which is available in FLOW-3D. The second reason is that this program deals with small-scale models which saves time for numerical simulation. Finally, some important assumptions were considered during the validation process. The flow is assumed to be incompressible, viscous, turbulent, and three-dimensional.
By comparing dam profiles at different time instants for the experimental test with the current numerical model, it appears that the numerical model gives good agreement as shown in Fig. 3 and Fig. 4, with an average error percentage of 9% between the experimental results and the numerical model.
3. Analysis and discussions
The current model is used to study the effects of different parameters such as (initial breach shapes, dimensions, locations, upstream and downstream dam slopes) on the peak outflow discharge, QP, time of peak outflow, tP, and rate of erosion, E.
This study consists of a group of scenarios. The first scenario is changing the shapes of the initial breach according to Singh , the most predicted shapes are rectangular and V-notch as shown in Fig. 5. The second scenario is changing the initial breach dimensions (i.e., width and depth). While the third scenario is changing the location of the initial breach. Eventually, the last scenario is changing the upstream and downstream dam slopes.
All scenarios of this study were carried out under the same conditions such as inflow discharge value (Qin=1.0lit/s), dimensions of the tested dam, where dam height (Ho=0.20m), crest width.
(Lk=0.1m), dam length (Bo=0.20m), and homogenous & non-cohesive soil with a mean diameter (d50=0.31mm).
3.1. Dam breaching process evolution
The dam breaching process is a very complex process due to the quick changes in hydrodynamic conditions during dam failure. The dam breaching process starts once water flows reach the downstream face of the dam. During the initial stage of dam breaching, the erosion process is relatively quiet due to low velocities of flow. As water flows continuously, erosion rates increase, especially in two main zones: the crest and the downstream face. As soon as the dam crest is totally eroded, the water levels in the dam reservoir decrease rapidly, accompanied by excessive erosion in the dam body. The erosion process continues until the water levels in the dam reservoir equal the remaining height of the dam.
According to Zhou et al. , the breaching process consists of three main stages. The first stage starts with beginning overtopping flow, then ends when the erosion point directed upstream and reached the inflection point at the inflection time (ti). The second stage starts from the end of the stage1 until the occurrence of peak outflow discharge at the peak outflow time (tP). The third stage starts from the end of the stage2 until the value of outflow discharge becomes the same as the value of inflow discharge at the final time (tf). The outflow discharge from the dam breach increases rapidly during stage1 and stage2 because of the large dam storage capacity (i.e., the dam reservoir is totally full of water) and excessive erosion. While at stage3, the outflow values start to decrease slowly because most of the dam’s storage capacity was run out. The end of stage3 indicates that the dam storage capacity was totally run out, so the outflow equalized with the inflow discharge as shown in Fig. 6 and Fig. 7.
3.2. The effect of initial breach shape
To identify the effect of the initial breach shape on the evolution of the dam breaching process. Three tests were carried out with different cross-section areas for each shape. The initial breach is created at the center of the dam crest. Each test had an ID to make the process of arranging data easier. The rectangular shape had an ID (Rec5h & 5b), which means that its depth and width are equal to 5% of the dam height, and the V-notch shape had an ID (V-noch5h & 1:1) which means that its depth is equal to 5% of the dam height and its side slope is equal to 1:1. The comparison between rectangular and V-notch shapes is done by calculating the ratio between maximum dam height at different times (ZMax) to the initial dam height (Ho), rate of erosion, and hydrograph of outflow discharge for each test. The rectangular shape achieves maximum erosion rate and minimum inflection time, in addition to a rapid decrease in the dam reservoir levels. Therefore, the dam breaching is faster in the case of a rectangular shape than in a V-notch shape, which has the same cross-section area as shown in Fig. 8.
Also, by comparing the hydrograph for each test, the peak outflow discharge value in the case of a rectangular shape is higher than the V-notch shape by 5% and the time of peak outflow for the rectangular shape is shorter than the V-notch shape by 9% as shown in Fig. 9.
3.3. The effect of initial breach dimensions
The results of the comparison between the different initial breach shapes indicate that the worst initial breach shape is rectangular, so the second scenario from this study concentrated on studying the effect of a change in the initial rectangular breach dimensions. Groups of tests were carried out with different depths and widths for the rectangular initial breach. The first group had a depth of 5% from the dam height and with three different widths of 5,10, and 15% from the dam height, the second group had a depth of 10% with three different widths of 5,10, and 15%, the third group had a depth of 15% with three different widths of 5,10, and 15% and the final group had a width of 15% with three different heights of 5, 10, and 15% for a rectangular breach shape. The comparison was made as in the previous section to determine the worst case that leads to the quick dam failure as shown in Fig. 10.
The results show that the (Rec 5 h&15b) test achieves a maximum erosion rate for a shorter period of time and a minimum ratio for (Zmax / Ho) as shown in Fig. 10, which leads to accelerating the dam failure process. The dam breaching process is faster with the minimum initial breach depth and maximum initial breach width. In the case of a minimum initial breach depth, the retained head of water in the dam reservoir is high and the crest width at the bottom of the initial breach (L`K) is small, so the erosion point reaches the inflection point rapidly. While in the case of the maximum initial breach width, the erosion perimeter is large.
3.4. The effect of initial breach location
The results of the comparison between the different initial rectangular breach dimensions indicate that the worst initial breach dimension is (Rec 5 h&15b), so the third scenario from this study concentrated on studying the effect of a change in the initial breach location. Three locations were checked to determine the worst case for the dam failure process. The first location is at the center of the dam crest, which was named “Center”, the second location is at mid-distance between the dam center and dam edge, which was named “Mid”, and the third location is at the dam edge, which was named “Edge” as shown in Fig. 11. According to this scenario, the results indicate that the time of peak outflow discharge (tP) is the same in the three cases, but the maximum value of the peak outflow discharge occurs at the center location. The difference in the peak outflow values between the three cases is relatively small as shown in Fig. 12.
The rates of erosion were also studied for the three cases. The results show that the maximum erosion rate occurs at the center location as shown in Fig. 13. By making a comparison between the three cases for the dam storage volume. The results show that the center location had the minimum values for the dam storage volume, which means that a large amount of water has passed to the downstream area as shown in Fig. 14. According to these results, the center location leads to increased erosion rate and accelerated dam failure process compared with the two other cases. Because the erosion occurs on both sides, but in the case of edge location, the erosion occurs on one side.
3.5. The effect of upstream and downstream dam slopes
The results of the comparison between the different initial rectangular breach locations indicate that the worst initial breach location is the center location, so the fourth scenario from this study concentrated on studying the effect of a change in the upstream (Su) and downstream (Sd) dam slopes. Three slopes were checked individually for both upstream and downstream slopes to determine the worst case for the dam failure process. The first slope value is (2H:1V), the second slope value is (2.5H:1V), and the third slope value is (3H:1V). According to this scenario, the results show that the decreasing downstream slope angle leads to increasing time of peak outflow discharge (tP) and decreasing value of peak outflow discharge. The difference in the peak outflow values between the three cases for the downstream slope is 2%, as shown in Fig. 15, but changing the upstream slope has a negligible impact on the peak outflow discharge and its time as shown in Fig. 16.
The rates of erosion were also studied in the three cases for both upstream and downstream slopes. The results show that the maximum erosion rate increases by 6.0% with an increasing downstream slope angle by 4°, as shown in Fig. 17. The results also indicate that the erosion rates aren’t affected by increasing or decreasing the upstream slope angle, as shown in Fig. 18. According to these results, increasing the downstream slope angle leads to increased erosion rate and accelerated dam failure process compared with the upstream slope angle. Because of increasing shear stress applied by water flows in case of increasing downstream slope.
According to all previous scenarios, the dimensionless peak outflow discharge QPQin is presented for a fixed dam height (Ho) and inflow discharge (Qin). Fig. 19 illustrates the relationship between QP∗=QPQin and.
Lr=ho2/3∗bo2/3Ho. The deduced relationship achieves R2=0.96.(17)QP∗=2.2807exp-2.804∗Lr
A spatial dam breaching process was simulated by using FLOW-3D Software. The validation process was performed by making a comparison between the simulated results of dam profiles and the dam profiles obtained by Schmocker and Hager  in their experimental study. And also, the peak outflow value recorded an error percentage of 12% between the numerical model and the experimental study. This model was used to study the effect of initial breach shape, dimensions, location, and dam slopes on peak outflow discharge, time of peak outflow, and the erosion process. By using the parameters obtained from the validation process, the results of this study can be summarized in eight points as follows.1.
The rectangular initial breach shape leads to an accelerating dam failure process compared with the V-notch.2.
The value of peak outflow discharge in the case of a rectangular initial breach is higher than the V-notch shape by 5%.3.
The time of peak outflow discharge for a rectangular initial breach is shorter than the V-notch shape by 9%.4.
The minimum depth and maximum width for the initial breach achieve maximum erosion rates (increasing breach width, b0, or decreasing breach depth, h0, by 5% from the dam height leads to an increase in the maximum rate of erosion by 11% and 15%, respectively), so the dam failure is rapid.5.
The center location of the initial breach leads to an accelerating dam failure compared with the edge location.6.
The initial breach location has a negligible effect on the peak outflow discharge value and its time.7.
Increasing the downstream slope angle by 4° leads to an increase in both peak outflow discharge and maximum rate of erosion by 2.0% and 6.0%, respectively.8.
The upstream slope has a negligible effect on the dam breaching process.
측면 분기기(흡입구)의 상류 측에서 흐름 분리는 분기기 입구에서 와류를 일으키는 중요한 문제입니다. 이는 흐름의 유효 폭, 출력 용량 및 효율성을 감소시킵니다. 따라서 분리지대의 크기를 파악하고 크기를 줄이기 위한 방안을 제시하는 것이 필수적이다. 본 연구에서는 분리 구역의 치수를 줄이기 위한 방법으로 7가지 유형의 거칠기 요소를 분기구 입구에 설치하고 4가지 다른 배출(총 84번의 실험을 수행)과 함께 3개의 서로 다른 베드 반전 레벨을 조사했습니다. 또한 3D CFD(Computational Fluid Dynamics) 모델을 사용하여 분리 영역의 흐름 패턴과 치수를 평가했습니다. 결과는 거칠기 계수를 향상시키면 분리 영역 치수를 최대 38%까지 줄일 수 있는 반면, 드롭 구현 효과는 사용된 거칠기 계수를 기반으로 이 영역을 다르게 축소할 수 있음을 보여주었습니다. 두 가지 방법을 결합하면 분리 영역 치수를 최대 63%까지 줄일 수 있습니다.
Flow separation at the upstream side of lateral turnouts (intakes) is a critical issue causing eddy currents at the turnout entrance. It reduces the effective width of flow, turnout capacity and efficiency. Therefore, it is essential to identify the dimensions of the separation zone and propose remedies to reduce its dimensions. Installation of 7 types of roughening elements at the turnout entrance and 3 different bed invert levels, with 4 different discharges (making a total of 84 experiments) were examined in this study as a method to reduce the dimensions of the separation zone. Additionally, a 3-D Computational Fluid Dynamic (CFD) model was utilized to evaluate the flow pattern and dimensions of the separation zone. Results showed that enhancing the roughness coefficient can reduce the separation zone dimensions up to 38% while the drop implementation effect can scale down this area differently based on the roughness coefficient used. Combining both methods can reduce the separation zone dimensions up to 63%.
Turnouts or intakes are amongst the oldest and most widely used hydraulic structures in irrigation networks. Turnouts are also used in water distribution, transmission networks, power generation facilities, and waste water treatment plants etc. The flows that enter a turnout have a strong momentum in the direction of the main waterway and that is why flow separation occurs inside the turnout. The horizontal vortex formed in the separation area is a suitable place for accumulation and deposition of sediments. The separation zone is a vulnerable area for sedimentation and for reduction of effective flow due to a contracted flow region in the lateral channel. Sedimentaion in the entrance of the intake can gradually be transfered into the lateral channel and decrease the capacity of the higher order channels over time (Jalili et al. 2011). On the other hand, the existence of coarse-grained materials causes erosion and destruction of the waterway side walls and bottom. In addition, sedimentation creates conditions for vegetation to take root and damage the waterway cover, which causes water to leak from its perimeter. Therefore, it is important to investigate the pattern of the flow separation area in turnouts and provide solutions to reduce the dimensions of this area.
The three-dimensional flow structure at turnouts is quite complex. In an experimental study by Neary & Odgaard (1993) in a 90-degree water turnout it was found that the secondary currents and separation zone varies from the bed to the water surface. They also found that at a 90-degree water turnout, the bed roughness and discharge ratio play a critical role in flow structure. They asserted that an explanation of sediment behavior at a diversion entrance requires a comprehensive understanding of 3D flow patterns around the lateral-channel entrance. In addition, they suggested that there is a strong similarity between flow in a channel bend and a diversion channel, and that this similarity can rationalize the use of bend flow models for estimation of 3D flow structures in diversion channels.
Some of the distinctive characteristics of dividing flow in a turnout include a zone of separation immediately near the entrance of the lateral turnout (separation zone), a contracted flow region in the branch channel (contracted flow), and a stagnation point near the downstream corner of the junction (stagnation zone). In the region downstream of the junction, along the continuous far wall, separation due to flow expansion may occur (Ramamurthy et al. 2007), that is, a separation zone. This can both reduce the turnout efficiency and the effective width of flow while increasing the sediment deposition in the turnout entrance (Jalili et al. 2011). Installation of submerged vanes in the turnout entrance is a method which is already applied to reduce the size of flow separation zones. The separation zone draws sediments and floating materials into themselves. This reduces effective cross-section area and reduces transmission capacity. These results have also been obtained in past studies, including by Ramamurthy et al. (2007) and in Jalili et al. (2011). Submerged vanes (Iowa vanes) are designed in order to modify the near-bed flow pattern and bed-sediment motion in the transverse direction of the river. The vanes are installed vertically on the channel bed, at an angle of attack which is usually oriented at 10–25 degrees to the local primary flow direction. Vane height is typically 0.2–0.5 times the local water depth during design flow conditions and vane length is 2–3 times its height (Odgaard & Wang 1991). They are vortex-generating devices that generate secondary circulation, thereby redistributing sediment within the channel cross section. Several factors affect the flow separation zone such as the ratio of lateral turnout discharge to main channel discharge, angle of lateral channel with respect to the main channel flow direction and size of applied submerged vanes. Nakato et al. (1990) found that sediment management using submerged vanes in the turnout entrance to Station 3 of the Council Bluffs plant, located on the Missouri River, is applicable and efficient. The results show submerged vanes are an appropriate solution for reduction of sediment deposition in a turnout entrance. The flow was treated as 3D and tests results were obtained for the flow characteristics of dividing flows in a 90-degree sharp-edged, junction. The main and lateral channel were rectangular with the same dimensions (Ramamurthy et al., 2007).
Keshavarzi & Habibi (2005) carried out experiments on intake with angles of 45, 67, 79 and 90 degrees in different discharge ratios and reported the optimum angle for inlet flow with the lowest flow separation area to be about 55 degrees. The predicted flow characteristics were validated using experimental data. The results indicated that the width and length of the separation zone increases with the increase in the discharge ratio Qr (ratio of outflow per unit width in the turnout to inflow per unit width in the main channel).
Abbasi et al. (2004) performed experiments to investigate the dimensions of the flow separation zone at a lateral turnout entrance. They demonstrated that the length and width of the separation zone decreases with the increasing ratio of lateral turn-out discharge. They also found that with a reducing angle of lateral turnout, the length of the separation zone scales up and width of separation zone reduces. Then they compared their observations with results of Kasthuri & Pundarikanthan (1987) who conducted some experiments in an open-channel junction formed by channels of equal width and an angle of lateral 90 degree turnout, which showed the dimensions of the separation zone in their experiments to be smaller than in previous studies. Kasthuri & Pundarikanthan (1987) studied vortex and flow separation dimensions at the entrance of a 90 degree channel. Results showed that increasing the diversion discharge ratio can reduce the length and width of the vortex area. They also showed that the length and width of the vortex area remain constant at diversion ratios greater than 0.7. Karami Moghaddam & Keshavarzi (2007) analyzed the flow characteristics in turnouts with angles of 55 and 90 degrees. They reported that the dimensions of the separation zone decrease by increasing the discharge ratio and reducing the turnout angle with respect to the main channel. Studies about flow separation zone can be found in Jalili et al. (2011), Nikbin & Borghei (2011), Seyedian et al. (2008).
Jamshidi et al. (2016) measured the dimensions of a flow separation zone in the presence of submerged vanes with five arrangements (parallel, stagger, compound, piney and butterflies). Results showed that the ratio of the width to the length of the separation zone (shape index) was between 0.2 and 0.28 for all arrangements.
Karami et al. (2017) developed a 3D computational fluid dynamic (CFD) code which was calibrated by measured data. They used the model to evaluate flow pattern, diversion ratio of discharge, strength of the secondary flow, and dimensions of the vortex inside the channel in various dikes and submerged vane installation scenarios. Results showed that the diversion ratio of discharge in the diversion channel is dependent on the width of the flow separation area in the main channel. A dike, perpendicular to the flow, doubles the ratio of diverted discharge and reduces the suspended sediment load compared with the base-line situation by creating outer arch conditions. In addition, increasing the longitudinal distance between vanes increases the velocity gradient between the vanes and leads to a more severe erosion of the bed near the vanes.Figure 1VIEW LARGEDOWNLOAD SLIDE
Laboratory channel dimensions.
Al-Zubaidy & Hilo (2021) used the Navier–Stokes equation to study the flow of incompressible fluids. Using the CFD software ANSYS Fluent 19.2, 3D flow patterns were simulated at a diversion channel. Their results showed good agreement using the comparison between the experimental and numerical results when the k-omega turbulence viscous model was employed. Simulation of the flow pattern was then done at the lateral channel junction using a variety of geometry designs. These improvements included changing the intake’s inclination angle and chamfering and rounding the inner corner of the intake mouth instead of the sharp edge. Flow parameters at the diversion including velocity streamlines, bed shear stress, and separation zone dimensions were computed in their study. The findings demonstrated that changing the 90° lateral intake geometry can improve the flow pattern and bed shear stress at the intake junction. Consequently, sedimentation and erosion problems are reduced. According to the conclusions of their study, a branching angle of 30° to 45° is the best configuration for increasing branching channel discharge, lowering branching channel sediment concentration.
The review of the literature shows that most of the studies deal with turnout angle, discharge ratio and implementation of vanes as techniques to reduce the area of the separation zone. This study examines the effect of roughness coefficient and drop implementation at the entrance of a 90-degree lateral turnout on the dimensions of the separation zone. As far as the authors are aware, these two variables have never been studied as a remedy to decrease the separation zone dimensions whilst enhancing turnout efficiency. Additionally, a three-dimensional numerical model is applied to simulate the flow pattern around the turnout. The numerical results are verified against experimental data.
The experiments were conducted in a 90 degree dividing flow laboratory channel. The main channel is 15 m long, 0.5 m wide and 0.4 m high and the branch channel is 3 m long, 0.35 m wide and 0.4 m high, as shown in Figure 1. The tests were carried out at 9.65 m from the beginning of the flume and were far enough from the inlet, so we were sure that the flow was fully developed. According to Kirkgöz & Ardiçlioğlu (1997) the length of the developing region would be approximantly 65 and 72 times the flow depth. In this study, the depth is 9 cm, which makes this condition.
Both the main and lateral channel had a slope of 0.0003 with side walls of concrete. A 100 hp pump discharged the water into a stilling basin at the entrance of the main flume. The discharge was measured using an ultrasonic discharge meter around the discharge pipe. Eighty-four experiments in total were carried out at range of 0.1<Fr<0.4 (Froude numbers in main channel and upstream of turnout). The depth of water in the main channel in the experiments was 9 cm, in which case the effect of surface tension can be considered; according to research by Zolghadr & Shafai Bejestan (2020) and Zolghadr et al. (2021), when the water depth is more than 6 cm, the effect of surface tension is reduced and can be ignored given that the separation phenomenon occurs in the boundary layer, the height of the roughness creates disturbances in growth and development of the boundary layer and, as a result, separation growth is also faced with disruption and its dimensions grow less compared to smooth surfaces. Similar conditions occur in case of drop implementation. A disturbance occurs in the growth of the boundary layer and as a result the separation zone dimensions decrease. In order to investigate the effect of roughness coefficient and drop implementation on the separation zone dimensions, four different discharges (16, 18, 21, 23 l/s) in subcritical conditions, seven Manning (Strickler) roughness coefficients (0.009, 0.011, 0.017, 0.023, 0.028, 0.030, 0.032) as shown in Figure 2 and three invert elevation differences between the main channel and lateral turnout invert (0, 5 and 10 cm) at the entrance of the turnout were considered. The Manning roughness coefficient values were selected based on available and feasible values for real conditions, so that 0.009 is equivalent to galvanized sheet roughness and selected for the baseline tests. 0.011 is for concrete with neat surface, 0.017 and 0.023 are for unfinished and gunite concrete respectively. 0.030 and 0.032 values are for concrete on irregular excavated rock (Chow 1959). The roughness coefficients were created by gluing sediment particles on a thin galvanized sheet which was installed at the upstream side of the lateral turnout. The values of roughness coefficients were calculated based on the Manning-Strickler formula. For this purpose, some uniformly graded sediment samples were prepared and the Manning roughness coefficient of each sample was determined with respect to the median size (D50) value pasted into the Manning-Strickler formula. Some KMnO4 was sifted in the main channel upstream to visualize and measure the dimensions of the separation zone. Consequently, when KMnO4 approached the lateral turnout a photo of the separation zone was taken from a top view. All the experiments were recorded and several photos were taken during the experiment after stablishment of steady flow conditions. The photos were then imported to AutoCAD to measure the separation zone dimensions. Because all the shooting was done with a high-definition camera and it was possible to zoom in, the results are very accurate.Figure 2VIEW LARGEDOWNLOAD SLIDE
The velocity values were also recorded by a one-dimensional velocity meter at 15 cm distance from the turnout entrance and in transverse direction (perpendicular to the flow direction).
The water level was also measured by depth gauges with a accuracy of 0.1 mm, and velocity in one direction with a single-dimensional KENEK LP 1100 with an accuracy of ±0.02 m/s (0–1 m/s), ± 0.04 m/s (1–2 m/s), ± 0.08 m/s (2–4 m/s), ±0.10 m/s (4–5 m/s).
ListenA FLOW-3D numerical model was utilized as a solver of the Navier-Stokes equation to simulate the three-dimensional flow field at the entrance of the turnout. The governing equations included continuity momentum equations. The continuity equation, regardless of the density of the fluid in the form of Cartesian coordinates x, y, and z, is as follows:
(1)where u, v, and w represent the velocity components in the x, y, and z directions, respectively; Ax, Ay, and Az are the surface flow fractions in the x, y, and z directions, respectively; VF denotes flow volume fraction; r is the density of the fluid; t is time; and Rsor refers to the source of the mass. Equations (2)–(4) show momentum equations in x, y and z dimensions respectively :
(4)where Gx, Gy, and Gz are the accelerations caused by gravity in the x, y, and z directions, respectively; and fx, fy, and fz are the accelerations caused by viscosity in the x, y, and z directions, respectively.
The turbulence models used in this study were the renormalized group (RNG) models. Evaluation of the concordance of the mentioned models with experimental studies showed that the RNG model provides more accurate results.
Two blocks of mesh were used to simulate the main channels and lateral turnout. The meshes were denser in the vicinity of the entrance of the turnout in order to increase the accuracy of computations. Boundary conditions for the main mesh block included inflow for the channel entrance (volumetric flow rate), outflow for the channel exit, ‘wall’ for the bed and the right boundary and ‘symmetry’ for the top (free surface) and left boundaries (turnout). The side wall roughness coefficient was given to the software as the Manning number in surface roughness of any component. Considering the restrictions in the available processor, a main mesh block with appropriate mesh size was defined to simulate the main flow field in the channel, while the nested mesh-block technique was utilized to create a very dense solution field near the roughness plate in order to provide accurate results around the plates and near the entrance of the lateral turnout. This technique reduced the number of required mesh elements by up to 60% in comparison with the method in which the mesh size of the main solution field was decreased to the required extent.
The numerical outputs are verified against experimental data. The hydraulic characteristics of the experiment are shown in Table 1.Table 1
During the experiments, the dimensions of the separation zone were recorded with an HD camera. Some photos were imported to AutoCad software. Then, the separation zones dimensions were measured and compared in different scenarios.
At the beginning, the flow pattern in the separation zone for four different hydraulic conditions was studied for seven different Manning roughness coefficients from 0.009 to 0.032. To compare the obtained results, roughness of 0.009 was considered as the base line. The percentage of reduction in separation zone area in different roughness coefficients is shown in Figure 3. According to this figure, by increasing the roughness of the turnout side wall, the separation zone area ratio reduces (ratio of separation zone area to turnout area). In other words, in any desired Froud number, the highest dimensions of the separation zone area are related to the lowest roughness coefficients. In Figure 3, ‘A’ is the area of the separation zone and ‘Ai’ represents the total area of the turnout.Figure 3VIEW LARGEDOWNLOAD SLIDE
Effect of roughness on separation zone dimensions.
It should be mentioned that the separation zone dimensions change with depth, so that the area is larger at the surface than near the bed. This study measured the dimensions of this area at the surface. Figure 4 show exactly where the roughness elements were located.Figure 5VIEW LARGEDOWNLOAD SLIDE
Comparison of separation zone for n=0.023 and n=0.032.
Figure 5 shows images of the separation zone at n=0.023 and n=0.032 as examples, and show that the separation area at n=0.032 is smaller than that of n=0.023.
The difference between the effect of the two 0.032 and 0.030 roughnesses is minor. In other words, the dimensions of the separation zone decreased by increasing roughness up to 0.030 and then remained with negligable changes.
In the next step, the effect of intake invert relative to the main stream (drop) on the dimensions of the separation zone was investigated. To do this, three different invert levels were considered: (1) without drop; (2) a 5 cm drop between the main canal and intake canal; and (3) a 10 cm drop between the main canal and intake canal. The without drop mode was considered as the control state. Figure 6 shows the effect of drop implementation on separation zone dimensions. Tables 2 and 3 show the reduced percentage of separation zone areas in 5 and 10 cm drop compared to no drop conditions as the base line. It was found that the best results were obtained when a 10 cm drop was implemented.Table 2
Decrease percentage of separation zone area in 5 cm drop
Decrease percentage of separation zone area in 10 cm drop
Effect of drop implementation on separation zone dimensions.
The combined effect of drop and roughness is shown in Figure 7. According to this figure, by installing a drop structure at the entrance of the intake, the dimensions of the separation zone scales down in any desired roughness coefficient. Results indicated that by increasing the roughness coefficient or drop implementation individually, the separation zone area decreases up to 38 and 25% respectively. However, employing both techniques simultaneously can reduce the separation zone area up to 63% (Table 4). The reason for the reduction of the dimensions of the separation zone area by drop implementation can be attributed to the increase of discharge ratio. This reduces the dimensions of the separation zone area.Table 4
Reduction in percentage of combined effect of roughness and 10 cm drop
Combined effect of roughness and drop on separation zone dimensions.
This method increases the discharge ratio (ratio of turnout to main channel discharge). The results are compatible with the literature. Some other researchers reported that increasing the discharge ratio can scale down the separation zone dimensions (Karami Moghaddam & Keshavarzi 2007; Ramamurthy et al. 2007). However, these researchers employed other methods to enhance the discharge ratio. Drop implementation is simple and applicable in practice, since there is normally an elevation difference between the main and lateral canal in irrigation networks to ensure gravity flow occurance.
Table 4 depicts the decrease in percentage of the separation zone compared to base line conditions in different arrangements of the combined tests.Figure 8VIEW LARGEDOWNLOAD SLIDE
Velocity profiles for various roughness coefficients along turnout width.
A comparison between the proposed methods introduced in this paper and traditional methods such as installation of submerged vanes, and changing the inlet geometry (angle, radius) was performed. Figure 8 shows the comparison of the results. The comparison shows that the new techniques can be highly influential and still practical. In this research, with no change in structural geometry (enhancement of roughness coefficient) or minor changes with respect to drop implementation, the dimensions of the separation zone are decreased noticeably. The velocity values were also recorded by a one-dimensional velocity meter at 15 cm distance from the turnout entrance and in a transverse direction (perpendicular to the flow direction). The results are shown in Figure 9.Figure 9VIEW LARGEDOWNLOAD SLIDE
Effect of roughness on separation zone dimensions in numerical study.
This study examined the flow patterns around the entrance of a diversion channel due to various wall roughnesses in the diversion channel. Results indicated that increasing the discharge ratio in the main channel and diversion channel reduces the area of the separation zone in the diversion channel.Figure 10VIEW LARGEDOWNLOAD SLIDE
Comparision of the vortex area (software output) for three roughnesses (0.009, 0.023 and 0.032).A laboratory and numerical error rate of 0.2605 was calculated from the following formula,
where Uexp is the experimental result, Unum is the numerical result, and N is the number of data.
Figure 9 shows the effect of roughness on separation zone dimensions in numerical study. Figure 10 compares the vortex area (software output) for three roughnesses, 0.009, 0.023 and 0.032 and Figure 11 shows the flow lines (tecplot output) that indicate the effect of roughness on flow in the separation zone. Numerical analysis shows that by increasing the roughness coefficient, the dimensions of the separation zone area decrease, as shown in Figure 10 where the separation zone area at n=0.032 is less than the separation zone area at n=0.009.Figure 11VIEW LARGEDOWNLOAD SLIDE
Comparison of vortex area in 3D mode (tecplot output) with two roughnesses (a) 0.009 and (b) 0.032.Figure 12VIEW LARGEDOWNLOAD SLIDE
Velocity vector for flow condition Q1/422 l/s, near surface.
The velocities intensified moving midway toward the turnout showing that the effective area is scaled down. The velocity values were almost equal to zero near the side walls as expected. As shown in Figure 12 the approach vortex area velocity decreases. Experimental and numerical measured velocity at x=0.15 m of the diversion channel compared in Figure 13 shows that away from the separation zone area, the velocity increases. All longitudinal velocity contours near the vortex area are distinctly different between different roughnesses. The separation zone is larger at less roughness both in length and width.Figure 13VIEW LARGEDOWNLOAD SLIDE
This study introduces practical and feasible methods for enhancing turnout efficiency by reducing the separation zone dimensions. Increasing the roughness coefficient and implementation of inlet drop were considered as remedies for reduction of separation zone dimensions. A data set has been compiled that fully describes the complex, 3D flow conditions present in a 90 degree turnout channel for selected flow conditions. The aim of this numerical model was to compare the results of a laboratory model in the area of the separation zone and velocity. Results showed that enhancing roughness coefficient reduce the separation zone dimensions up to 38% while the drop implementation effect can scale down this area differently based on roughness coefficient used. Combining both methods can reduce the separation zone dimensions up to 63%. Further research is proposed to investigate the effect of roughness and drop implementation on sedimentation pattern at lateral turnouts. The dimensions of the separation zone decreases with the increase of the non-dimensional parameter, due to the reduction ratio of turnout discharge increasing in all the experiments.
This method increases the discharge ratio (ratio of turnout to main channel discharge). The results are compatible with the literature. Other researchers have reported that intensifying the discharge ratio can scale down the separation zone dimensions (Karami Moghaddam & Keshavarzi 2007; Ramamurthy et al. 2007). However, they employed other methods to enhance the discharge ratio. Employing both techniques simultaneously can decrease the separation zone dimensions up to 63%. A comparison between the new methods introduced in this paper and traditional methods such as installation of submerged vanes, and changing the inlet geometry (angle, radius) was performed. The comparison shows that the new techniques can be highly influential and still practical. The numerical and laboratory models are in good agreement and show that the method used in this study has been effective in reducing the separation area. This method is simple, economical and can prevent sediment deposition in the intake canal. Results show that CFD prediction of the fluid through the separation zone at the canal intake can be predicted reasonably well and the RNG model offers the best results in terms of predictability.
Chendi Zhang1 , Yuncheng Xu1,2, Marwan A Hassan3 , Mengzhen Xu1 , Pukang He1 1State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing, 100084, China. 2 College of Water Resources and Civil Engineering, China Agricultural University, Beijing, 100081, China. 5 3Department of Geography, University of British Columbia, 1984 West Mall, Vancouver BC, V6T1Z2, Canada. Correspondence to: Chendi Zhang (firstname.lastname@example.org) and Mengzhen Xu (email@example.com)
스텝 풀 시스템은 계류의 일반적인 기반이며 전 세계의 하천 복원 프로젝트에 활용되었습니다. 스텝 풀 장치는 스텝 풀 기능의 형태학적 진화 및 안정성과 밀접하게 상호 작용하는 것으로 보고된 매우 균일하지 않은 수력 특성을 나타냅니다.
그러나 스텝 풀 형태에 대한 3차원 수리학의 자세한 정보는 측정의 어려움으로 인해 부족했습니다. 이러한 지식 격차를 메우기 위해 SfM(Structure from Motion) 및 CFD(Computational Fluid Dynamics) 기술을 기반으로 하이브리드 모델을 구축했습니다. 이 모델은 CFD 시뮬레이션을 위한 입력으로 6가지 유속의 자연석으로 만든 인공 스텝 풀 장치가 있는 침대 표면의 3D 재구성을 사용했습니다.
하이브리드 모델은 스텝 풀 장치에 대한 3D 흐름 구조의 고해상도 시각화를 제공하는 데 성공했습니다. 결과는 계단 아래의 흐름 영역의 분할, 즉 수면에서의 통합 점프, 침대 근처의 줄무늬 후류 및 그 사이의 고속 제트를 보여줍니다.
수영장에서 난류 에너지의 매우 불균일한 분포가 밝혀졌으며 비슷한 용량을 가진 두 개의 에너지 소산기가 수영장에 공존하는 것으로 나타났습니다. 흐름 증가에 따른 풀 세굴 개발은 점프 및 후류 와류의 확장으로 이어지지만 이러한 증가는 스텝 풀 실패에 대한 임계 조건에 가까운 높은 흐름에서 점프에 대해 멈춥니다.
음의 경사면에서 발달된 곡물 20 클러스터와 같은 미세 지반은 국부 수력학에 상당한 영향을 주지만 이러한 영향은 수영장 바닥에서 억제됩니다. 스텝 스톤의 항력은 가장 높은 흐름이 사용되기 전에 배출과 함께 증가하는 반면 양력은 더 큰 크기와 더 넓은 범위를 갖습니다. 우리의 결과는 계단 풀 형태의 복잡한 흐름 특성을 조사할 때 물리적 및 수치적 모델링을 결합한 하이브리드 모델 접근 방식의 가능성과 큰 잠재력을 강조합니다.
Step-pool systems are common bedforms in mountain streams and have been utilized in river restoration projects around the world. Step-pool units exhibit highly non-uniform hydraulic characteristics which have been reported to closely 10 interact with the morphological evolution and stability of step-pool features. However, detailed information of the threedimensional hydraulics for step-pool morphology has been scarce due to the difficulty of measurement. To fill in this knowledge gap, we established a hybrid model based on the technologies of Structure from Motion (SfM) and computational fluid dynamics (CFD). The model used 3D reconstructions of bed surfaces with an artificial step-pool unit built by natural stones at six flow rates as inputs for CFD simulations. The hybrid model succeeded in providing high-resolution visualization 15 of 3D flow structures for the step-pool unit. The results illustrate the segmentation of flow regimes below the step, i.e., the integral jump at the water surface, streaky wake vortexes near the bed, and high-speed jets in between. The highly non-uniform distribution of turbulence energy in the pool has been revealed and two energy dissipaters with comparable capacity are found to co-exist in the pool. Pool scour development under flow increase leads to the expansion of the jump and wake vortexes but this increase stops for the jump at high flows close to the critical condition for step-pool failure. The micro-bedforms as grain 20 clusters developed on the negative slope affect the local hydraulics significantly but this influence is suppressed at pool bottom. The drag forces on the step stones increase with discharge before the highest flow is used while the lift force has a larger magnitude and wider varying range. Our results highlight the feasibility and great potential of the hybrid model approach combining physical and numerical modeling in investigating the complex flow characteristics of step-pool morphology.
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1 Civil Enigneering Department, Lahijan Branch.Islamic Azad University.Lahijan.Iran
2 Department of Civil Engnieering, University of Qom,Qom,Iran
3 Civil Engineering Department, Lahijan Branch,Islamic Azad Univeristy,Lahijan,Iran
홍수와 그 위험을 통제해야 할 필요성은 누구에게도 숨겨져 있지 않습니다. 또한 이 현상으로 인해 다양한 경제, 사회 및 환경 문제가 영향을 받습니다. 홍수 제어 방법의 설계 및 최적 관리의 첫 번째 단계는 홍수 중 하천 거동을 올바르게 식별하는 것입니다.
홍수 경로 지정, 하상 및 하천 면적 결정 등과 같은 대부분의 하천 엔지니어링 프로젝트에서 하천 단면의 수리학적 매개변수의 평균값을 계산하는 것으로 충분합니다. 오늘날 유체 환경 연구에서 수치 및 분석 방법의 사용이 성장하고 발전했습니다.
신뢰할 수 있는 결과 생성으로 인해 물리적 모델에 대한 좋은 대안이 될 수 있었습니다. 오늘날 수치 모델의 급속한 발전과 컴퓨터 계산 속도의 증가로 인해 3D 수치 모델의 사용이 선호되며 또한 강의 속도 분포 및 전단 응력을 측정하는 데 시간이 많이 걸리고 비용이 많이 들기 때문에 결과 3D 수치 모델의 가치가 있을 것입니다.
한편, 본 연구에서는 복합단면에 대해 FLOW-3D 모델을 이용한 종합적인 수치연구가 이루어지지 않았음을 보여주고 있어 적절한 연구기반을 제공하고 있습니다.
따라서 본 연구의 혁신은 발산 및 수렴 범람원을 동반하는 비 각형 복합 단면에서 흐름의 상태 및 수리 성능에 대한 거칠기와 같은 매개 변수의 영향에 대한 수치 연구입니다.
수치해석 결과를 검증하기 위해 Younesi(2013) 연구를 이용하였습니다. 이 실험에서는 먼저 고정층이 있는 복합 프리즘 및 비 프리즘 단면의 수리 흐름을 조사한 다음 조건을 유지하면서 프리즘 및 비 프리즘 모드에서 퇴적물 이동 실험을 수행했습니다.
실험은 15미터 길이의 연구 채널에서 수행되었습니다. 이 운하는 초당 250리터의 시스템에서 재순환을 위해 제공될 수 있는 유속과 0.0088 000의 종경사를 가진 폭 400mm의 두 개의 대칭 범람원이 있는 합성 운하입니다. 범람원의 가장자리는 0.18미터와 같고 주요 운하의 너비는 0.4미터와 같습니다(그림 1).
본수로의 바닥과 벽을 거칠게 하기 위해 평균직경 0.65mm의 퇴적물을 사용하였으며, 각 단계에서 범람원의 벽과 바닥은 평균직경 0.65, 1.3, 1.78의 퇴적물로 거칠게 하였습다. (mm). 삼각형 오버플로는 운하 상류에서 운하로의 유입량을 측정하는 데 사용됩니다.
상대깊이 0.15와 0.25, 직경 14mm의 마이크로몰리나 실험과 상대깊이 0.35의 실험에서는 유속을 측정하기 위해 3차원 속도계(ADV)를 사용하였습니다. 수위는 0.1mm의 정확도로 깊이 게이지로 측정 되었습니다.
본 연구에서는 수면 프로파일의 수치적 모델을 검증하기 위해 실험 0.25-2에서 발산대의 시작, 중간 및 끝에서 세 단면의 평균 깊이 속도 분포 및 경계 전단 응력) -11.3-NP 및 0.25-2-5.7-NP 및 또한 각형 복합 단면의 0.25-2-2 P 테스트가 평가되었습니다.
각형 합성 단면의 P.20-2-2-P 테스트와 관련된 RMSE 및 NRMSE 지수 값 및 표 (2) 실험 11.3에서 RMSE 및 NRMSE 지수 값 -2-0.25-NP 및 -0.25. 2-5.7-NP가 제공됩니다. 실험 0.25-2-5.7-NP-11.3-2-0.25, NP 및 P.2.0-2-2-P의 평균 깊이 속도의 검증과 관련된 결과가 표시됩니다. 0.25-2-5.7-NP 실험에서 초, 중, 기말 NRMSE의 양은 각각 5.7, 11.8, 10.3%로 계산되었으며, 이는 초급이 우수, 중급이 양호, 최종 성적. 배치. 보시다시피, RMSE 값은 각각 0.026, 0.037 및 0.026으로 계산됩니다.
실험 11.3-2-0.25, NP에서 초급, 중급 및 최종 수준의 NRMSE 값은 각각 7, 11.2 및 15.4%로 계산되었으며, 이는 초급에서 우수 범주 및 우수 범주에서 중간 및 최종 수준. 가져 가다. 보시다시피, RMSE 값은 각각 0.032, 0.038, 0.04로 계산됩니다. 0.25-2-P 실험에서 NRMSE 값은 1.7%로 계산되어 우수 범주에 속한다. 보시다시피 RMSE 값도 0.004로 계산됩니다. 중간 깊이의 속도 분포와 관련하여 수치 모델은 실험실 결과에 적합하며 접합 영역에 작은 오류만 입력되었다고 말할 수 있습니다. 이는 2차 전지의 이동 결과로 간주될 수 있습니다. 모서리를 향해. 결론: 본 연구에서는 3차원 유동 해석이 가능한 Flow 3D 소프트웨어를 사용하여 각형 및 비각형 단면이 복합된 수로의 유동 패턴을 조사했습니다. 3개의 다른 상대 거칠기(1, 2 및 2.74)와 3개의 상대 깊이(0.15, 0.25 및 0.35) 및 5.7 및 11.3도의 발산 각도에 대해 속도의 세로 성분 변화, 평균 깊이 속도 분포, 경계 범람원에 의해 전달되는 유속뿐만 아니라 전단 응력 분포를 조사했습니다.
결과는 수로를 따라 범람원의 폭이 증가함에 따라 유속량이 감소함을 보여주었다. 또한 조도가 유동패턴에 미치는 영향에 대한 연구는 일반적으로 벽의 거칠기에 따라 모든 구간에서 유속량이 감소하는 것으로 나타났으며, 또한 본관과 범람원의 교차점에서의 유동패턴은 벽의 거칠기 영향을 더 많이 받는 것으로 나타났습니다. 결과는 또한 상대 깊이가 증가하거나 상대 거칠기가 감소함에 따라 주 수로와 범람원 사이의 속도 구배가 감소함을 보여주었습니다.
Intrpduction: The need to control floods and their dangers is not hidden from anyone. In addition, a wide range of economic, social and environmental issues are affected by this phenomenon. The first step in the design and optimal management of flood control methods is the correct identification of river behavior during floods. In most river engineering projects such as flood routing, determining the bed and river area, etc., calculating the average values of hydraulic parameters of the river section is sufficient. Today, the use of numerical and analytical methods in the study of fluid environment have grown and developed. Due to the production of reliable results, they have been able to be a good alternative to physical models. Today, with the rapid development of numerical models and increasing the speed of computer calculations, the use of 3D numerical models is preferred and also due to the fact that measuring the velocity distribution and shear stress in rivers is very time consuming and expensive, the results of 3D numerical models It will be valuable. On the other hand, the present studies show that comprehensive numerical research using FLOW-3D model has not been performed on composite sections, so a suitable ground for research is provided. Therefore, the innovation of the present study is the numerical study of the effects of parameters such as roughness on the status and hydraulic performance of the flow in non-prismatic composite sections, which are accompanied by divergent and convergent floodplains, which have received less attention numerically.
Methodology: Younesi (2013) research has been used to validate the results of numerical simulation. In these experiments, first the hydraulic flow in composite prismatic and non-prismatic sections with fixed bed was examined and then, while maintaining the conditions, sediment transfer experiments were performed in prismatic and non-prismatic mode. The experiments were performed in a research channel 15 meters long. This canal is a composite canal with two symmetrical floodplains with a width of 400 mm with a flow rate that can be provided for recirculation in the system of 250 liters per second and a longitudinal slope of 0.0088 000. The depth of the main canal to the edge of the floodplain is equal to 0.18 meters and the width of the main canal is equal to 0.4 meters (Figure 1). In order to roughen the bed and walls of the main canal, sediments with an average diameter of 0.65 mm have been used and at each stage, the walls and bed of floodplains have been roughened by sediments with an average diameter of 0.65, 1.3 and 1.78 (mm). A triangular overflow is used to measure the inflow to the canal, upstream of the canal. In order to measure the flow velocity in experiments with relative depth of 0.15 and 0.25, a micromolina with a diameter of 14 mm and in experiments with relative depth of 0.35, a three-dimensional speedometer (ADV) was used. The water level was also taken by depth gauges with an accuracy of 0.1 mm. Result and Diccussion: In the present study, in order to validate the numerical model of water surface profile, average depth velocity distribution and boundary shear stress in the three sections at the beginning, middle and end of the divergence zone) in experiments 0.25-2-11.3-NP and 0.25-2-5.7-NP and Also, the 0.25-2-2 P test of the prismatic composite section has been evaluated. In Table (1) the values of RMSE and NRMSE indices related to the P.20-2-2-P test of the prismatic composite section, and also in Table (2) the values of the RMSE and NRMSE indices in the experiments 11.3-2-0.25-NP and -0.25. 2-5.7-NP is provided. The results related to the validation of the average depth velocity of the experiments 0.25-2-5.7- NP-11.3-2-0.25, NP and P.2.0-2-2-P are shown. In 0.25-2-5.7-NP experiment, the amount of NRMSE in elementary, middle and final grades was calculated to be 5.7, 11.8 and 10.3%, respectively, which is in the excellent grade in the elementary grade and good in the middle and final grades. Placed. As can be seen, the RMSE values are calculated as 0.026, 0.037 and 0.026, respectively. In the experiment 11.3-2-0.25, NP, the NRMSE values in the primary, middle and final levels were calculated as 7, 11.2 and 15.4%, respectively, which are in the excellent category in the primary level and in the good category in the middle and final levels. Take. As can be seen, the RMSE values are calculated as 0.032, 0.038 and 0.04, respectively. In the 0.25-2-P experiment, the NRMSE value was calculated to be 1.7%, which is in the excellent category. As can be seen, the RMSE value is also calculated to be 0.004. Regarding the medium-depth velocity distribution, it can be said that the numerical model has an acceptable compliance with the laboratory results and only a small error has been entered in the junction area, which can be considered as a result of the movement of secondary cells towards the corners. Conclusion: in this research The flow pattern in waterways with composite prismatic and non-prismatic sections was investigated using Flow 3D software that is capable of three-dimensional flow analysis. For three different relative roughnesses (1, 2 and 2.74) as well as three relative depths (0.15, 0.25 and 0.35) and divergence angles of 5.7 and 11.3 degrees, changes in the longitudinal component of velocity, The average depth velocity distribution, the boundary shear stress distribution as well as the flow rate transmitted by the floodplains were investigated. The results showed that with increasing the width of floodplains along the canal, the amount of velocity decreases. Also, the study of the effect of roughness on the flow pattern showed that in general, with wall roughness, the amount of velocity has decreased in all sections and also the flow pattern at the junction of the main canal and floodplain is more affected by wall roughness. The results also showed that with increasing relative depth or decreasing relative roughness, the velocity gradient between the main channel and floodplains decreases
하천횡단구조물이 하천설계기준(2009)대로 설계되었음에도 불구하고, 하류부에서 물받이공 및 바닥보호공의 피해가 발생하여, 구조물 본체에 대한 안전성이 현저하 게 낮아지고 있는 실정이다. 하천설계기준이 상류부의 수리특성을 반영하였다고 하나 하류부의 수리특성인 유속의 변동 성분 또는 압력의 변동성분까지 고려하고 있지는 않다. 현재 많은 선행연구에서 이러한 난류적 특성이 구조물에 미치는 영 향에 대해 제시하고 있는 실정이며, 국내 하천에서의 피해 또한 이와 관련이 있다 고 판단된다. 이에 본 연구에서는 난류성분 특히 압력의 변동성분이 물받이공과 바닥보호공에 미치는 영향을 정량적으로 분석하여, 하천 횡단구조물의 치수 안전 성 증대에 기여하고자 한다. 물받이공과 바닥보호공에 미치는 압력의 변동성분 (pressure fluctuation) 영향을 분석하기 위해 크게 3가지로 연구내용을 분류하였 다. 첫 번째는 압력의 변동으로 순간적인 음압구배(adversed pressure gradient) 가 발생할 경우 바닥보호공의 사석 및 블록이 이탈하는 것이다. 이를 확인하기 위 해 정밀한 압력 측정장치를 통해 압력변이를 측정하여, 사석의 이탈 가능성을 검 토할 것이며, 최종적으로 이탈에 대한 한계조건을 도출할 것이다. 두 번째는 압력 의 변동이 물받이공의 진동을 유발시켜 이를 지지하고 있는 지반에 다짐효과를 가 져와 물받이공과 지반사이에 공극이 발생하는 경우이다. 이러한 공극으로 물받이 공은 자중 및 물의 압력을 받게 되어, 결국 휨에 의한 파괴가 발생할 가능성이 있 게 된다. 본 연구에서는 실험을 통하여 압력의 변동과 물받이공의 진동을 동시에 측정하여, 진동이 발생하지 않을 최소 두께를 제시할 것이다. 세 번째는 압력변이 로 인한 물받이공의 진동이 피로파괴로 연결되는 경우이다. 이 현상 또한 수리실 험을 통해 압력변이-피로파괴의 관계를 정량적으로 분석하여, 한계 조건을 제시할 것이다. 본 연구는 국내 보 및 낙차공에서 발생하는 다양한 Jet의 특성을 수리실 험으로 재현해야 하며, 이를 위해 평면 Jet 분사기(plane Jet injector)를 고안/ 제작하여, 효율적인 수리실험을 수행할 것이다. 또한 3차원 수치해석을 통해 실제 스케일에 적용함으로써 연구결과의 활용도 및 적용성을 높이고자 한다.
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본 최근 지구의 온난화로 인하여 극한 홍수가 자주 발생하고 있으며, 기존 도시 유역의 우수배제시설 용량부족 등으로 도시홍수가 빈번하게 발생하고 있으므로, 주요 범람지역의 홍수량을 우회하거나 저류하여 홍수를 방지하기 위한 수로터널의 개발이 요구된다.
본 연구에서는 교통기능과 수로기능을 동시에 갖춘 다기능 수로 터널의 설계 기준을 개발하기 위한 수리 실험 및 Flow3D를 이용한 수치모의을 수행하였다. 수치모의결과 동일한 수로 터널 구간 내 발생하는 마찰손실의 크기는 수치모의로 도출된 마찰손실이 이론적으로 계산한 마찰손실보다 더 크게 발생함을 관측하였으며, 이는 수로의 형상이 비원형인 경우에는 관의 기하학적 형상에 의한 흐름구조의 변화로 추가적인 마찰손실이 발생하는 것이 원인으로 판단된다.
마찰손실의 증가는 난류보다 층류에서 두드러졌다. 따라서 터널의 홍수량 흐름 시 마찰손실계수가 터널의 형상에 좌우되며, 실무에서 정확한 설계를 위해 방수로 터널의 형상을 주의 깊게 고려해야 한다는 결론을 내렸다. 이는 실제 방수로 터널 설계에 활용될 수 있는 기본 정보를 제공할 수 있을 것으로 보인다.
The extreme floods recently are have been attributed global warming, The development of a canal tunnel to prevent floods by making a bypass or undercurrent to flood discharge in a major flooding area is required because urban flooding in heavy rainfall occurs frequently, increasing the impermeability according to lack of capacity in sewage to urbanization by the existing urban basin. In this study, a numerical simulation was performed to support design standards for a multi-purpose waterway tunnel combined road tunnel of canal tunnel. The numerical simulation showed that the size of the friction loss occurring in the tunnel section of the same channel occurred more than the theoretically calculated frictional loss derived from the numerical simulations. This is probably due to the additional frictional loss caused by the change in the flow structure due to the geometry of the pipe when the shape of the channel is non-circular. The increase in friction loss was more pronounced in the laminar flow than in the turbulent flow. Depending on the shape of the conduit, the friction loss should be adjusted for accurate flow calculations. This result can provide the basin information about the design of flood by a pass conduit
 Kim, J.-H., Kwon, S.-H., Yoon, K.-S., Lee, L.-H., Chung, G.-H. Hydraulic Experiment for Friction Loss Coefficient in Non-circular Pipe, Procedia Engineering, Vol. 154, pp. 773-778, 2016. DOI: https://doi.org/10.1016/j.proeng.2017.02.354  Colebrook, C. F. and White, C. M. Experiments with fluid- friction in roughened pipes, Proc. Royal Soc. London, 161, 367-381, 1937. DOI: https://doi.org/10.1098/rspa.1937.0150  Flow Science Inc. FLOW-3D User’s Manual, 2015  Jeong, C.-S. Discharge coefficient of side weir for various curvatures simulated by FLOW-3D, Korea Water Resources Association, 2011.  Kang, S.-H. A comparison of hydraulic phenomenon in inlet and outlet point in retention reservoir using FLOW-3D model and hydraulic experiment, Donga University, 2012.  Seoul General planning for reducing traffic of surface road, 2015.  Willams, G. S. and Hazen A. Hydraulic Tables, 3rd ed., rev. John Wiley, New York, 1933.  Yen, Ben Chie. Channel flow resistance: centennial of Manning’s formula, Water Resources Publications, 1992.
최근의 기상변화에 의한 이상홍수와 유역의 도시화로 인한 불투수면적의 증가는 홍수시 유출량을 증가시켜 기 존의 하도의 적정 소통량을 초과하는 홍수를 발생시키고 있다. 토지의 고도 이용으로 하도의 확폭이 제한된 도시유 역에서 초과 홍수에 대비할 수 있는 구조적 홍수관리 방안 은 제방 증고, 저류지 설치, 방수로 설치 등이 대표적이다. 저류지는 하천에 유입되는 홍수를 일시 조절하여 하도의 적정한 홍수 소통능력을 초과하는 유출을 억제하는 구조 물로 국내외에서 널리 이용되는 구조적 홍수대책의 하나 이다. 그러나 이러한 활용도에 비해서 예연위어, 광정위어,암거 등의 수리구조물에 비교할 때 횡월류 위어에 대한 연 구는 미진한 것이 현실이다. 횡월류 위어(side weir 또는 lateral weir)는 인공수로 또는 자연하천에서 흐름방향에 평행하게 수로측면에 설치된 수 공구조물이다.
이는 본류의 수심이 횡월류 위어 월류부의 높이보다 높을 경우 위어를 통하여 물을 월류시켜 에너지 소산, 수위조절, 일정 유량의 취수 및 분배, 초과 홍수량 전 환 등의 목적으로 이용된다. 이러한 횡월류 유량의 취수 및 분배, 초과 홍수량 전환 등의 목적으로 이용된다. 이러한 횡월류 위어는 off-line저류지, 관계수로, 하수도 설비, 댐의 여수로 등에서 폭넓게 사용되고 있다.
국내의 경우 개발에 따른 횡월류 위어 구조물의 사용이 증가하는 추세이나, 유입유량 결정이나 적용되는 유량계 수에 대한 신뢰할만한 평가가 이루어지지 않아서 설계에 어려움을 겪고 있다. 또한 지금까지 연구된 횡월류 위어는 직선수로에 국한되어있으며, 실험을 통해서 제안된 유량 계수식들은 제안자에 따라 편차가 커서 실무적으로 이용 되기에는 많은 한계를 가지고 있다. Cheong(1991)은 횡월류 위어의 단면을 사다리꼴로하여 상류 프루드수와 유량계수와의 관계를 정립하였다.
Uyumaz (1997)는 U-모양 단면의 주수로의 횡월류 위어에서 사류와 상류시의 유량계수의 변화를 파악하였으며, Agaccioglu (1998)는 만곡수로의 사각형 단면에서 중심각에 따른 유량 계수와 무차원변수와의 관계를 정립하고, 퇴적이 발생하 는 지역의 크기는 상류 프루드수에 영향을 받는 다는 것을 확인 하였으며, Agaccioglu(2004)는 만곡수로에서 횡월류 위어의 단면을 삼각형으로 하여 중심각에 따른 유량계수 와 무차원 변수와의 관계를 정립하였다. 국내에서 윤세의 (1990)는 곡률반경에 대한 하폭의 비(Rc/b)의 변화에 따른 만곡수로에서의 흐름특성을 분석하였고, 이종태(1991)는 곡률반경의 증가, 감소는 만곡부 흐름특성인자에 많은 영 향을 끼치는 것을 확인 하였다.
서일원 등(2004)이 실내 실 험을 수행하여 다중 만곡수로에서 이차류의 변화양상을 관찰하였고, 이두한 등(2005)은 복단면을 갖는 사행수로에 서 만곡부의 저수로와 홍수터에서 회전류가 발생함을 관 측하였으며, 홍수심이 증가 할수록 저수로와 고수로간의 유속 차이보다 사행의 영향이 지배적임을 분석하였다.
본 연구에서는 기존에 연구된 만곡수로에 설치된 횡월류 위어를 상용 3차원 CFD모형인 FLOW-3D를 이용하여 횡 월류 위어의 흐름을 모의하여 그 적용성을 검증하고, 곡률 변화에 따른 만곡부 횡월류 위어에서의 유량계수와 여러 변수들과의 관계를 정립하고 특성을 분석하는데 목적이 있다.
또한 만곡수로에 횡월류 위어를 설치하였을 때, 그 흐름 특성의 변화를 분석하여, 횡월류 위어 주변의 수심 및 유속변화, 월류량에 영향을 미치는 인자들을 관찰하고, 월 류량에 가장 직접적인 영향을 미치는 인자인 유량계수를 산정하여 영향인자들과의 관계를 무차원하여 분석하여 만 곡부에 설치된 횡월류 위어의 실용적인 기준으로 활용할 수 있는 자료를 제시하고자 한다.
서일원, 성기훈, 백경오, 정성진(2004) 사행수로에서흐름특성에 관한 실험적 연구, 한국수자원학회논문집, 37(7), pp.527~540.
이두한, 이찬주, 김명환(2005) 복단면 사행 하도의 흐름 특성에 대한 실험 연구, 대한토목학회 논문집, 25(3B), pp.197~206.
Parshall Flumes의 효율성 향상을 위한 수치 및 실험 모델링의 적용: 최신 기술 검토
Mehdi Heyrani 1,* , Abdolmajid Mohammadian 1, Ioan Nistor 1 and Omerul Faruk Dursun 2
열린 채널에서 흐름을 관리하는 기본 단계 중 하나는 속성을 결정하는 것입니다. 개방 수로의 흐름에 관한 추가 정보를 제공하기 위해 경험적 방정식이 개발되었습니다. 이러한 실험 방정식을 얻는 것은 비용과 시간이 많이 소요됩니다. 따라서 대체 솔루션이 모색되었습니다.
지난 세기 동안 움직이는 부분이 없는 정적 측정 장치인 Parshall 수로가 개방 수로의 흐름을 측정하는 데 중요한 역할을 했습니다. 많은 연구자들이 관개 및 폐수 관리와 같은 다양한 분야에서 Parshall 수로의 적용을 연구하는 데 관심을 집중해 왔습니다.
여러 학자들이 실험 결과를 사용하여 Parshall 수로의 등급 방정식을 향상시켰지만 다른 학자들은 수치 시뮬레이션을 사용하여 높이-방전 관계 방정식을 재보정하기 위해 대체 데이터 소스를 사용했습니다. 컴퓨팅 하드웨어가 지난 수십 년 동안 크게 발전하여 과거에 경험했던 제한된 해상도를 뛰어넘는 것이 가능해짐에 따라 CFD(Computational Fluid Dynamic) 소프트웨어가 오늘날 대중화되고 있습니다.
여러 CFD 모델은 가용성에 따라 오픈 소스 또는 상업적으로 허가되어 수위 결과를 생성하기 위해 다양한 구성의 수로, 특히 Parshall 수로에 대한 수치 시뮬레이션을 수행하는 데 사용되었습니다.
FLOW-3D, Ansys Fluent, OpenFOAM 등 지금까지 사용되어 온 다양한 CFD 도구에 대해 실험 데이터로 정밀 교정한 결과, 출력이 안정적이고 실제 시나리오에 구현할 수 있음이 확인되었습니다.
결과를 생성하기 위해 이 기술을 사용하는 이점은 필요한 경우 유속 또는 구조적 형상과 같은 초기 조건을 조정하는 CFD 접근 방식의 능력입니다. 수로 크기와 수로가 위치한 부지의 조건과 관련하여 상황에 적합한 특정 Parshall 수로로 선택이 좁혀집니다.
표준 Parshall 수로를 선택하는 것이 항상 가능한 것은 아닙니다. 따라서 엔지니어는 가장 가까운 수로 크기에 약간의 수정을 제공하고 정확한 유량을 생성하기 위해 새로운 등급 곡선을 제공합니다.
이 검토는 기존 등급 방정식을 향상시키거나 구조의 기하학에 대한 추가 수정을 제안하기 위해 Parshall 수로에서 수치 시뮬레이션 및 물리적 실험 데이터의 적용을 목표로 하는 여러 학자의 작업에 대해 수행되었습니다.
One of the primary steps in managing the flow in an open channel is determining its properties. Empirical equations are developed to provide further information regarding the flow in open channels. Obtaining such experimental equations is expensive and time consuming; therefore, alternative solutions have been sought. Over the last century, the Parshall flume, a static measuring device with no moving parts, has played a significant role in measuring the flow in open channels. Many researchers have focused their interest on studying the application of Parshall flumes in various fields like irrigation and wastewater management. Although various scholars used experimental results to enhance the rating equation of the Parshall flume, others used an alternative source of data to recalibrate the height–discharge relation equation using numerical simulation. Computational Fluid Dynamic (CFD) software is becoming popular nowadays as computing hardware has advanced significantly within the last few decades, making it possible to go beyond the limited resolution that was experienced in the past. Multiple CFD models, depending on their availability, either open-source or commercially licensed, have been used to perform numerical simulations on different configurations of flumes, especially Parshall flumes, to produce water level results. Regarding various CFD tools that have been used, i.e., FLOW-3D, Ansys Fluent, or OpenFOAM, after precise calibration with experimental data, it has been determined that the output is reliable and can be implemented to the actual scenarios. The benefit of using this technique to produce results is the ability of the CFD approach to adjust the initial conditions, like flow velocity or structural geometry, where necessary. With respect to channel size and the condition of the site where the flume is located, the choices are narrowed to the specific Parshall flume suitable to the situation. It is not always possible to select the standard Parshall flume; therefore, engineers provide some modification to the closest flume size and provide a new rating curve to produce accurate flowrates. This review has been performed on the works of a number of scholars who targeted the application of numerical simulation and physical experimental data in Parshall flumes to either enhance the existing rating equation or propose further modification to the structure’s geometry.
Parshall flume; CFD; OpenFOAM; FLOW-3D; numerical simulation; turbulence model
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계단식 여수로는 댐의 여수로 위로 흐르는 큰 물의 에너지를 분산시키는 비용 효율적인 유압 구조입니다. 이 연구에서는 삼각주형 요소(TPE)가 계단식 배수로의 수력 성능에 미치는 영향에 초점을 맞췄습니다. 9개의 계단식 배수로 모델이 TPE의 다양한 모양과 레이아웃으로 실험 및 수치적으로 조사되었습니다. 적절한 난류 모델을 채택하려면 RNG k – ε 및 표준 k – ε모델을 활용했습니다. 계산 모델 결과는 계단 표면의 속도 분포 및 압력 프로파일을 포함하여 실험 사례의 계단 여수로에 대한 복잡한 흐름을 만족스럽게 시뮬레이션했습니다. 결과는 계단식 여수로에 TPE를 설치하는 것이 캐비테이션 효과를 줄이는 효과적인 방법이 될 수 있음을 나타냅니다. 계단식 여수로에 TPE를 설치하면 에너지 소실률이 최대 54% 증가했습니다. 계단식 배수로의 성능은 TPE가 더 가깝게 배치되었을 때 개선되었습니다. 또한, 실험 데이터를 이용하여 거칠기 계수( f )와 임계 깊이 대 단차 거칠기( yc / k )의 비율 사이의 관계를 높은 정확도로 얻었다.
Abbasi, S. & Kamanbedast, A. A. 2012 Investigation of effect of changes in dimension and hydraulic of stepped spillways for maximization energy dissipation. World Applied Sciences Journal 18 (2), 261–267. Arjenaki, M. O. & Sanayei, H. R. Z. 2020 Numerical investigation of energy dissipation rate in stepped spillways with lateral slopes using experimental model development approach. Modeling Earth Systems and Environment 1–12. Attarian, A., Hosseini, K., Abdi, H. & Hosseini, M. 2014 The effect of the step height on energy dissipation in stepped spillways using numerical simulation. Arabian Journal for Science and Engineering 39 (4), 2587–2594. Azhdary Moghaddam, M. 1997 The Hydraulics of Flow on Stepped Ogee-Profile Spillways. Doctoral Dissertation, University of Ottawa, Canada. Bakhtyar, R. & Barry, D. A. 2009 Optimization of cascade stilling basins using GA and PSO approaches. Journal of Hydroinformatics 11 (2), 119–132. Barani, G. A., Rahnama, M. 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Maryam Bagheria, Seyed M. Ali Zomorodianb, Masih Zolghadrc, H. MD. Azamathulla d,* and C. Venkata Siva Rama Prasade a Hydraulic Structures, Department of Water Engineering, Shiraz University, Shiraz, Iran b Department of Water Engineering, College of Agriculture, Shiraz University, Shiraz, Iran c Department of Water Sciences Engineering, College of Agriculture, Jahrom University, Jahrom, Iran dCivil & Environmental Engineering, The University of the West Indies, St. Augustine Campus, Port of Spain, Trinidad eDepartment of Civil Engineering, St. Peters Engineering College, Hyderabad, India *Corresponding author. E-mail: firstname.lastname@example.org
Flow separation at the upstream side of the lateral turnouts (intakes) is a critical issue causing eddy currents at the turn-out entrance. It reduces the effective width of flow, turn-out capacity and efficiency.
Therefore, it is essential to identify the dimensions of the separation zone and propose remedies to reduce its dimensions. Installation of 7 types of roughening elements at the turn-out entrance and 3 different bed level inverts, with 4 different discharges (total of 84 experiments) were examined in this study as a method to reduce the dimensions of the separation zone.
Additionally, a 3-D Computational Fluid Dynamic (CFD) model was utilized to evaluate the flow pattern and dimensions of the separation zone. Results showed that enhancing the roughness coefficient can reduce the separation zone dimensions up to 38% while the drop implementation effect can scale down this area differently based on the roughness coefficient used. Combining both methods can reduce the separation zone dimensions up to 63%.
측면 분기기(흡입구)의 상류 측에서 흐름 분리는 분기기 입구에서 와류를 일으키는 중요한 문제입니다. 이는 흐름의 유효 폭, 턴아웃 용량 및 효율성을 감소시킵니다. 따라서 분리지대의 크기를 파악하고 크기를 줄이기 위한 방안을 제시하는 것이 필수적이다.
이 연구에서는 분리 구역의 치수를 줄이기 위한 방법으로 4가지 다른 배출(총 84개 실험)과 함께 7가지 유형의 조면화 요소를 출구 입구에 설치하고 3가지 서로 다른 베드 레벨 반전 장치를 조사했습니다.
또한 3D CFD(Computational Fluid Dynamics) 모델을 사용하여 분리 영역의 흐름 패턴과 치수를 평가했습니다. 결과는 거칠기 계수를 향상시키면 분리 영역 치수를 최대 38%까지 줄일 수 있는 반면 드롭 구현 효과는 사용된 거칠기 계수를 기반으로 이 영역을 다르게 축소할 수 있음을 보여주었습니다.
두 가지 방법을 결합하면 분리 영역 치수를 최대 63%까지 줄일 수 있습니다.
discharge ratio, flow separation zone, intake, three dimensional simulation
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본 연구에서는 LW(Labyrinth Weir)와 PKW(Piano Key Weir)가 결합된 T자형 웨어(TSW)라는 새로운 비선형 웨어를 도입하여 수압 성능을 비교하였다.
PKW. 입구 키, 출구 키 또는 두 키 모두에서 수직 벽의 존재에 따라 TSW 위어는 각각 A, B 또는 C 유형 웨어로 분류되었습니다. 다른 TSW 사례의 흐름 패턴을 분석하고 배출 계수 곡선을 제공했습니다. 또한 테스트된 둑의 유체역학을 정확하게 연구하기 위해 FLOW-3D 소프트웨어를 사용하여 3D 수치 시뮬레이션을 수행했습니다.
결과는 출구 키(C-TSW 유형)의 상류에 수직 벽을 삽입하는 것이 PKW의 유압 성능에 미미한 영향을 미치는 것으로 나타났습니다. B-TSW의 토출계수는 PKW 대비 최대 16% 증가하였으며, Ht/p 0.45까지 수직벽의 성능향상 효과 증가 B-TSW는 유지되었습니다.
실험적 및 수치적 실험을 통해 가장 높은 방전 용량을 갖는 B-TSW에서 수직벽의 최적 높이비(Pd/P)는 0.4로 결정되었다.
In the present study, a new nonlinear weir called the T-shaped weir (TSW), which is a combination of the labyrinth weir (LW) and the piano key weir (PKW), was introduced, and its hydraulic performance was compared with the PKW. Based on the presence of the vertical walls at the inlet key, outlet key, or both keys, the TSW weirs were classified as type A, B, or C weirs, respectively. The flow pattern of different TSW cases was analyzed, and the discharge coefficient curves were provided. Furthermore, to accurately study the hydrodynamics of the tested weirs, 3D numerical simulations were performed using the FLOW-3D software. The results showed that inserting a vertical wall at the upstream of the outlet keys (C-TSW type) has a negligible effect on the hydraulic performance of the PKW. A maximum increase of 16% occurred in the discharge coefficient of the B-TSW in comparison to the PKW, and up to a head to height ratio (Ht/p) of 0.45, the effect of the vertical wall on increasing the performance of the B-TSW was maintained. Based on the experimental and numerical tests, the optimal height ratio of the vertical wall (Pd/P) in B-TSW with highest discharge capacity was determined to be equal to 0.4.
Bremer F. L. & Oertel M. 2017 Numerical investigation of wall thickness influence on Piano key Weir discharge coefficients: A preliminary study. In Labyrinth and Piano Key Weirs III – PKW 2017. CRC Press, London, UK, pp. 101–108.
Cicero G. M., Delisle J. R., Lefebvre V. & Vermeulen J. 2013 Experimental and Numerical Study of the Hydraulic Performance of A Trapezoidal PKW. In Labyrinths and Piano Key Weirs PKW 2013. CRC Press, Boca Raton, FL, pp. 265–272.
Lefebvre V., Vermeulen J. & Blancher B. 2013 Influence of Geometrical Parameters on PK-Weirs Discharge with 3D Numerical Analysis. In: Labyrinth and Piano key Weirs II – PKW 2013. CRC Press, London, pp. 49–56.
Lempérière F. & Ouamane A. 2003 The piano keys weir: a new cost-effective solution for spillways. International Journal on Hydropower & Dams 10 (5), 144–149.
Machiels O., Erpicum S., Archambeau P., Dewals B. J. & Pirotton M. 2011 Influence of piano key weir height on its discharge capacity. In Proc. Int. Conf. Labyrinth and Piano Key Weirs Liège B, pp. 59–66.
Pralong J., Vermeulen J., Blancher B., Laugier F., Erpicum S., Machiels O., Pirotton M., Boillat J.-L., Leite Ribeiro M. & Schleiss A. 2011a A naming convention for the Piano Key Weirs geometrical parameters. In Labyrinth and Piano key Weirs – PKW 2011. CRC Press, London, pp. 271–278.
Pralong J., Montarros F., Blancher B. & Laugier F. 2011b A sensitivity analysis of Piano Key Weirs geometrical parameters based on 3D numerical modelling. In Labyrinth and Piano key Weirs – PKW 2011. CRC Press, London, pp. 133–139.
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이중 여수로 간섭은 여수로가 서로 가깝게 배치될 때 수압 성능의 손실을 나타냅니다. 배수로 간섭은 물리적 실험과 수치 시뮬레이션을 모두 사용하여 조사됩니다.
이중 여수로 구성의 4개 물리적 모델의 단계 및 배출 측정값을 한국의 4개 댐 부지에서 Flow-3D 계산 결과와 비교합니다.
두 개의 배수로를 함께 사용하는 것을 각 배수로의 단일 작동과 비교합니다. 두 여수로를 동시에 운영할 경우 두 여수로를 통한 총 유량은 최대 7.6%까지 감소합니다.
간섭 계수는 단계 He가 설계 단계 Hd를 초과하고 두 배수로를 분리하는 거리 D가 배수로 너비 W에 비해 짧을 때 가장 중요합니다. 매개변수 DHd/WHe는 계산 및 측정된 간섭 계수와 매우 잘 관련됩니다.
안동댐 설계방류에 대한 홍수경로 예시는 간섭계수를 적용한 경우와 적용하지 않은 경우 저수지 수위의 차이가 42cm임을 보여줍니다. 결과적으로 댐 안전을 위해 추가 여수로의 너비(간섭 계수 포함)를 늘려야 합니다.
Dual spillway interference refers to the loss of hydraulic performance of spillways when they are placed close together. Spillway interference is examined using both physical experiments and numerical simulations. Stage and discharge measurements from four physical models with dual spillways configurations are compared to the Flow-3D computational results at four dam sites in South Korea. The conjunctive use of two spillways is compared with the singular operation of each spillway. When both spillways are operated at the same time, the total flow rate through the two spillways is reduced by up to 7.6%. Interference coefficients are most significant when the stage Heexceeds the design stage Hd and when the distance D separating two spillways is short compared to the spillway width W. The parameter DHd/WHecorrelates very well with the calculated and measured interference coefficients. A flood routing example for the design discharge at Andong dam shows a 42 cm difference in reservoir water level with and without application of the interference coefficient. Consequently, the width of additional spillways (including the interference coefficient) should be increased for dam safety.
Cassidy, J. J. 1965. “Irrotational flow over spillways of finite height.” J. Eng. Mech. Div. 91 (6): 155–173. Chanel, P., and J. Doering. 2008. “Assessment of spillway modeling using computational fluid dynamics.” Can. J. Civ. Eng. 35 (12): 1481–1485. https://doi.org/10.1139/L08-094. Chow, V. T. 1959. Open-channel hydraulics, 365–380. New York: McGraw-Hill. Ho, D., B. Cooper, K. Riddette, and S. Donohoo. 2006. “Application of numerical modelling to spillways in Australia.” In Proc., Int. Symp. on Dams in the Societies of the 21st Century, 22nd Int. Congress on Large Dams (ICOLD), edited by L. Berga, et al. London: Taylor & Francis. Huff, F. A. 1967. “Time distribution of rainfall in heavy storms.” Water Resour. Res. 3 (4): 1007–1019. https://doi.org/10.1029/WR003i004 p01007. Kim, D. G., and J. H. Park. 2005. “Analysis of flow structure over ogeespillway in consideration of scale and roughness effects by using CFD model.” KSCE J. Civ. Eng. 9 (2): 161–169. https://doi.org/10.1007 /BF02829067. Koutsunis, N. A. 2015. “Impact of climatic changes on downstream hydraulic geometry and its influence on flood hydrograph routing—Applied to the bluestone dam watershed.” M.S. degree, Dept. of Civil and Environmental Engineering, Colorado State Univ. Lee, J. H., and P. Y. Julien. 2016a. “ENSO impacts on temperature over South Korea.” Int. J. Climatol. 36 (11): 3651. https://doi.org/10.1002 /joc.4581. Lee, J. H., and P. Y. Julien. 2016b. “Teleconnections of the ENSO and South Korean precipitation patterns.” J. Hydrol. 534: 237–250. https://doi.org/10.1016/j.jhydrol.2016.01.011. Lee, J. H., and P. Y. Julien. 2017. “Influence of the El Nino/southern ˜ oscillation on South Korean streamflow variability.” Hydrol. Processes 31 (12): 2162–2178. https://doi.org/10.1002/hyp.11168. Li, S., S. Cain, N. Wosnik, C. Miller, H. Kocahan, and R. Wyckoff. 2011. “Numerical modeling of probable maximum flood flowing through a system of spillways.” J. Hydraul. Eng. 137 (1): 66–74. https://doi.org /10.1061/(ASCE)HY.1943-7900.0000279. MOCT (Ministry of Construction and Transportation). 2003. Hydraulic model study of Soyanggang multipurpose dam auxiliary spillway. [In Korean.] Governing City, South Korea: MOCT. Olsen, N. R., and H. M. Kjellesvig. 1998. “Three-dimensional numerical flow modeling for estimation of spillway capacity.” J. Hydraul. Res. 36 (5): 775–784. https://doi.org/10.1080/00221689809498602. Savage, B. M., and M. C. Johnson. 2001. “Flow over ogee spillway: Physical and numerical model case study.” J. Hydraul. Eng. 127 (8): 640–649. https://doi.org/10.1061/(ASCE)0733-9429(2001)127:8(640). USACE (US Army Corps of Engineers). 2008. Hydrologic modeling system HEC-HMS, user’s manual version 3.2. Davis, CA: USACE. USBR (US Bureau of Reclamation). 1980. Hydraulic laboratory techniques: A water resources technical publication. Denver: US Dept. of the Interior, Bureau of Reclamation. Yakhot, V., and S. A. Orszag. 1986. “Renormalization group analysis of turbulence. I: Basic theory.” J. Sci. Comput. 1 (1): 3–51. https://doi .org/10.1007/BF01061452. Yakhot, V., and L. M. Smith. 1992. “The renormalization group, the e-expansion and derivation of turbulence models.” J. Sci. Comput. 7 (1): 35–61. https://doi.org/10.1007/BF01060210. Zeng, J., L. Zhang, M. Ansar, E. Damisse, and J. A. Gonzalez-Castro. 2017. “Applications of computational fluid dynamics to flow ratings at prototype spillways and weirs. I: Data generation and validation.” J. Irrig. Drain. Eng. 143 (1): 04016072. https://doi.org/10.1061/(ASCE)IR .1943-4774.0001112.
캐비테이션은 고속 및 과난류 흐름에서 수리 구조물에 손상을 입히고 구멍을 만드는 현상입니다. 본 연구에서는 Siah-Bishe 배수로의 계단식 급수 공식을 Flow-3D 소프트웨어를 통해 시뮬레이션하고 물리적 모델과 비교합니다.
이 소프트웨어는 자유 표면과 복잡한 형상의 불안정한 3D 흐름 문제를 분석하는 정확한 도구입니다. 유한체적법을 통해 질량, 운동량, 에너지 보존 공식을 풀어 문제를 해결합니다.
본 연구에서는 여수로의 시작, 끝, 끝 부분의 압력 매개변수를 연구하고 일부 부분에서 음압이 관찰됩니다. 이 압력은 캐비테이션을 일으킬 수 있습니다. 본 연구는 Flow-3D로 모델링된 물리적 모델과 유한체적법 간의 대응 결과를 보여준다.
Cavitation is a phenomenon which damages and makes hole in hydraulic structure in high velocity and over-turbulent flows. In this research, stepped fast water formula of Siah-Bishe spillway is stimulated via Flow-3D software and compared with physical model. This software is an accurate tool in analyzing unsteady 3D flow problems with free surface and complex geometry. It solves problems by solving conservation of mass formulas, momentum and energy viafinite volume method. In this study, pressure parameter at the beginning, end and along the spillway is studied and negative pressure is observed in some parts. This pressure can make cavitation. The study shows the results of correspondence between physical model and finite volume method modeled by Flow-3D.
Electricité de Tahiti(GDF Suez) 댐의 재건이라는 틀 내에서 Coyne et Bellier는 진단과 Tahiti 댐의 전반적인 연구를 수행했습니다.
Tahinu는 프랑스령 폴리네시아의 Tahiti 섬에 위치한 37m 높이의 수력 발전 댐입니다. 수문학적 연구의 검토와 프랑스 표준의 적용은 최대 설계 홍수를 500에서 644 m3/s(+30%)로 증가시켰습니다.
먼저 측수로 여수로(마루 길이 60m)의 1D 수치 모델링을 수행하여 배수 용량을 평가했습니다. 결론은 마루댐과 배수로 수로 측벽의 오버토핑을 유발할 수 있는 배수로의 용량이 충분하지 않다는 것이었습니다.
그런 다음 이러한 결과를 확인하고 배수로의 특정 구성(정원 아래의 접근 속도와 깊이의 불균일한 분포, 측면 채널 단면의 불규칙한 기하학, 잠긴 둑, 곡선 채널 배수로)을 고려하기 위해, 3D 수치 모델링은 Flow 3D®로 수행되었습니다.
시뮬레이션은 1D 모델(흐름의 일반적인 패턴, 상류 저수지 수위)보다 더 정확한 결과를 보여주었습니다. 이에 따라 댐 능선의 높이와 여수로 측벽을 설계 및 최적화하여 안전을 위한 충분한 freeboards을 확보하도록 하였습니다.
Within the framework of the rehabilitation of Electricité de Tahiti (GDF Suez) dams, Coyne et Bellier carried out a diagnosis and an overall study of the Tahinu dam. Tahinu is a 37-m-high earthfill hydroelectric dam, located in the island of Tahiti, French Polynesia. The review of the hydrological study and the application of French standards lead to increase the peak design flood from 500 to 644 m3/s (+30 %). First, a 1D numerical modeling of the side-channel spillway (crest length 60 m) was performed to assess its discharge capacity. The conclusion was an insufficient capacity of the spillway that might induce an overtopping of the crest dam and of the sidewalls of the spillway channel. Then, to confirm these results and to take into account the specific configuration of the spillway (non-uniform distribution of the approach velocity and depth below crest, irregular geometry of the side-channel cross section, submerged weir, curved channel spillway), a 3D numerical modeling was carried out with Flow 3D®. Simulations showed more accurate results than 1D model (general pattern of the flow, upstream reservoir level). Consequently, heightenings of the dam crest and the sidewalls of the spillway channel were designed and optimized to secure sufficient freeboards for safety.
Cite this chapter as:Milési G., Causse S. (2014) 3D Numerical Modeling of a Side-Channel Spillway. In: Gourbesville P., Cunge J., Caignaert G. (eds) Advances in Hydroinformatics. Springer Hydrogeology. Springer, Singapore. https://doi.org/10.1007/978-981-4451-42-0_39
First Online12 November 2013
DOI : https://doi.org/10.1007/978-981-4451-42-0_39
The energy dissipation of Stepped Spillways experimentally and numerically
계단식 여수로는 댐의 통합된 부분인 수압 구조로, 넘침 흐름의 안전한 통과를 허용합니다. 이 논문에서는 에너지 소산을 최대한 활용하기 위해 여수로의 상대적인 계단 높이가 다른 영향을 조사하기 위해 실험적 및 수치적 연구를 수행했습니다.
여수로 위의 흐름 모델링은 RANS(Reynolds Averaged Navier-Stokes) 방정식을 푸는 상용 3D CFD 모델인 FLOW-3D를 사용하여 수행되었습니다.
FLOW-3D는 에너지 소산율을 분석하고 얻기 위해 사용되었습니다. 최대 에너지 소산을 달성할 수 있는 계단의 최상의 기하학은 관련 문헌을 검토하고 FLOW-3D에서 제안된 모델을 발명하여 결정되었습니다.
결과는 배수로의 상대적 계단 높이(hs/H) = 0.25. FLOW-3D를 사용한 수치모델은 다양한 실험모델에 대한 측정 데이터와 잘 일치하는 것으로 나타났습니다.
A. ShawkyAwada ,T. Hemdan Nasr-Allah a , Y. Abdallah Mohamed , b G. Mohamed Abdel-Aalb. a Benah University, Faculty of Engineering, Egypt b Zagazig University, Faculty of Engineering, Egypt
Stepped spillway, FLOW-3D, energy dissipation
1- A. Hazzab, C. Chafi (2006),” Experimental investigation of flow and energy dissipation in stepped spillways “, Larhyss Journal, ISSN 1112-3680,vol. 05, pp.91-104. 2- H. Chanson and S. Felder (2007), “Dynamic Similarity and Scale Effects in Turbulent Free-Surface Flows above Triangular Cavities”, 16th Australasian Fluid Mechanics Conference Crown Plaza, Gold Coast, Australia. 3- G.A. Barani, M.B. Rahnama and N. Sohrabipoor (2005), “Investigation of Flow Energy Dissipation over Different Stepped Spillways”, American Journal of Applied Sciences 2 (6): 1101-1105, ISSN 1546-9239. 4- Iman Naderi Rad and Mehdi Teimouri (2010),”An Investigation of Flow Energy Dissipation in Simple Stepped Spillways by Numerical Model”, European Journal of Scientific Research ISSN 1450-216X Vol.47 No.4, pp.544-553. 5- Felder, S., and Chanson, H. (2011). “Energy Dissipation down a Stepped Spillway with Non-Uniform Step Heights.” Journal of Hydraulic Engineering, ASCE, Vol. 137, No. 11, pp. 1543-1548 (DOI 10.1061/(ASCE)HY.1943- 7900.0000455) (ISSN 0733-9429). 6- Hubert Chanson (2008), “Physical modeling scale effects and self similarity of stepped spillways flows”, World Environmental and Water Resources Congress, Ahupua’a. 7- Chanson, H., YASUDA, Y., and OHTSU, I. (2002). “Flow Resistance in Skimming Flows and its Modelling.” Can Jl of Civ. Eng., Vol. 29, No. 6, pp. 809-819 (ISSN 0315-1468).
8- Chanson (2004), Hydraulics of stepped chutes: The transition flow, Journal of Hydraulic Research Vol. 42, No. 1 , pp. 43–54. 9- Moussa Rassaei, Sedigheh Rahbar (2014), Numerical flow model stepped spillways in order to maximize energy dissipation using FLUENT software, IOSR Journal of Engineering (IOSRJEN) www.iosrjen.org ISSN (e): 2250-3021, ISSN (p): 2278-8719 Vol. 04, Issue 06 , PP 17-25. 10- Jean G Chatila & Bassam R Jurdi (2004), Stepped Spillway as an Energy Dissipater, Canadian Water Resources Journal Vol. 29(3): 147–158 . 11- A.H. Nikseresht, N. Talebbeydokhti and M.J. Rezaei, (2013), Numerical simulation of two-phase flow on steppool spillways, Scientia Iranica A ,20 (2), 222–230. 12- Khosro Morovati , Afshin Eghbalzadeh and Saba Soori,(2016), Numerical Study of Energy Dissipation of Pooled Stepped Spillways, Civil Engineering Journal , Vol. 2, No. 5. 13- Abbas Mansoori , Shadi Erfanian and Farhad Khamchin Moghadam (2017), A Study of the Conditions of Energy Dissipation in Stepped Spillways with Λ -shaped step Using FLOW-3D, Civil Engineering Journal Vol. 3, No. 10, October, 2017
본 연구에서는 특정 유형의 계단식 배수로에서 에너지 소산을 조사했습니다. 목적은 여수로 하류에서 최고 수준의 에너지 소산을 달성하는 것이었습니다.
큰 러프니스로 계단에 대한 특정 유형의 기하학을 제공하여 수행되었습니다. 여기에서 계단은 흐름에 대한 큰 거칠기로 인식되었습니다.
이 단계에서 최대 흐름 에너지가 최소화될 수 있도록 모양과 수를 설계했습니다. 따라서 하류의 구조에서 가장 높은 에너지 소산률을 얻을 수 있다고 말할 수 있습니다. 또한, 이에 따라 프로젝트에서 저유조를 설계하고 건설함으로써 부과되는 막대한 비용을 최소화할 수 있었습니다.
이 연구에서는 FLOW-3D를 사용하여 에너지 소산율을 분석하고 구했습니다. 최대 에너지 소산을 달성할 수 있는 계단의 최상의 기하학은 관련 문헌을 검토하고 FLOW-3D에서 제안된 모델을 발명하여 결정되었습니다.
제안된 방법을 평가하기 위해 앞서 언급한 방법들과 함께 시행착오를 통해 메쉬망 크기를 분석하고 그 결과를 다른 연구들과 비교하였습니다. 즉, 스무드 스텝에 비해 에너지 소산율이 25도 각도에서 Λ자 스텝으로 가장 최적의 상태를 얻었습니다.
In the present study, energy dissipation was investigated in a specific type of stepped spillways. The purpose was to achieve the highest level of energy dissipation in downstream of the spillway. It was performed by providing a specific type of geometry for step as a great roughness. Here, steps were recognized as great roughness against flow. Their shape and number were designed in such a way that the maximum flow energy can be minimized in this stage, i.e. over steps before reaching to downstream. Accordingly, it can be stated that the highest energy dissipation rate will be obtained in the structure at downstream. Moreover, thereby, heavy costs imposed by designing and constructing stilling basin on project can be minimized. In this study, FLOW-3D was employed to analyse and obtain energy dissipation rate. The best geometry of the steps, through which the maximum energy dissipation can be achieved, was determined by reviewing related literature and inventing the proposed model in FLOW-3D. To evaluate the proposed method, analyses were performed using trial and error in mesh networks sizes as well as the mentioned methods and the results were compared to other studies. In other words, the most optimal state was obtained with Λ-shaped step at angel of 25 degree with respect to energy dissipation rate compare to smooth step.
 Chanson, Hubert. Hydraulics of stepped chutes and spillways. CRC Press, 2002.  Cassidy, John J. “Irrotational flow over spillways of finite height.” Journal of the Engineering Mechanics Division 91, no. 6 (1965): 155-176.  Sorensen, Robert M. “Stepped spillway hydraulic model investigation.” Journal of Hydraulic Engineering 111, no. 12 (1985): 1461-1472.  Pegram, Geoffrey GS, Andrew K. Officer, and Samuel R. Mottram. “Hydraulics of skimming flow on modeled stepped spillways.” Journal of hydraulic engineering 125, no. 5 (1999): 500-510.  Tabbara, Mazen, Jean Chatila, and Rita Awwad. “Computational simulation of flow over stepped spillways.” Computers & structures 83, no. 27 (2005): 2215-2224.  Pedram, A and Mansoori, A. “Study on the end sill stepped spillway energy dissipation”, Seventh Iranian Hydraulic Conference, Power and Water University of Technology, Tehran, Iran, (2008) (In Persian).  Naderi Rad, A et al. “Energy dissipation in various types of stepped spillways including simple, sills, and sloped ones using FLUENT numerical model”, journal of civil and environmental engineering 39, no 1 (2009) (In Persian).  Stephenson, D. “Energy dissipation down stepped spillways.” International water power & dam construction 43, no. 9 (1991): 27-30.  Soori, S and Mansoori, A. “compared energy dissipation in Nappe flow and Skimming flow regime using FLOW-3D”, International Conference on Civil, Architecture and Urban Development, Islamic Azad University, Tabriz, Iran, (2013) (In Persian).  Pfister, Michael, Willi H. Hager, and Hans-Erwin Minor. “Bottom aeration of stepped spillways.” Journal of Hydraulic Engineering 132, no. 8 (2006): 850-853.  Pfister, Michael, and Willi H. Hager. “Self-entrainment of air on stepped spillways.” International Journal of Multiphase Flow 37, no. 2 (2011): 99-107.  Hamedi, Amirmasoud, Mohammad Hajigholizadeh, and Abbas Mansoori. “Flow Simulation and Energy Loss Estimation in the Nappe Flow Regime of Stepped Spillways with Inclined Steps and End Sill: A Numerical Approach.” Civil Engineering Journal 2, no. 9 (2016): 426-437.  Sedaghatnejad, S. “Investigation of energy dissipation in the end sill stepped spillways”, Master thesis, Sharif University of Technology, (2009).
수력 구조물의 수력 설계 및 모델링 경험 (Experiences in the hydraulic design and modelling of the hydraulic structures)
템스 타이드웨이 터널은 주로 템스 강 아래 런던 중심부를 통과하는 새로운 저장 및 이송 터널입니다. 최대 지름 7.2m의 길이약 25km에 달하는 주요 터널은 서쪽액톤에서 동쪽의 수도원 밀스까지 운행됩니다. 이 프로젝트의 목적은 템스 강에 도달하기 전에 결합된 하수 흐름을 가로채고 저장하여 가장 오염이 많은 복합 하수 오버플로(CSOS)의 34개 를 제어하는 것입니다. 템스 타이드웨이 터널은 베크턴 하수 처리 작업에서 치료를 위해 흐름을 수송할 수도원 밀스의 리 터널에 연결됩니다. CSO 현장에서는 소용돌이 낙하 샤프트와 같은 가로채기 및 전환 구조물이 근처 표면 하수 네트워크에서 깊은 저장 터널로 결합된 하수 흐름을 수송합니다.
East main works
터널을 납품하는 회사인 Tideway는 프로젝트를 세 부분으로 분리했습니다. 동쪽 구간은 프로젝트의 가장 깊은 부분이며, 65m 깊이에 도달합니다. 버몬드시의 챔버 부두는 애비 밀스 (Abbey Mills)에 이르는이 5.5km 터널 섹션의 주요 드라이브 사이트입니다. 동부 개발에는 그리니치 펌핑 스테이션에서 챔버 스워프의 주요 터널까지 약 4.5km의 5m 내부 직경 연결 터널이 포함되어 있습니다.
4개의 드롭 샤프트가 현재 설계 및 제작 중입니다. 이들은 24-36m 3/s 범위의 설계 흐름을 가지며 차단 및 전환 구조, 터널 격리 게이트 및 플랩 밸브가 있는 밸브 챔버, 와류 발생기 입구 구조, 와류 드롭 튜브 및 에너지 소산 및 탈기 챔버를 포함한 유압 구조로 구성됩니다.
The challenge/ hydraulic modelling
이러한 새로운 구조의 설계는 수많은 엔지니어링 문제에 직면해 있습니다. 최대 36m3/s의 대규모 설계 유량은 기존 네트워크에 부정적인 영향을 미치거나 기존 CSO를 통해 유출되지 않고 완전히 캡처되어 터널로 안전하게 전달되어야 합니다.
또한 복잡한 흐름 패턴이 발생하는 수축된 설계와 시스템의 올바른 작동을 위해 필요하고 불리한 유체 역학 조건으로부터 보호해야 하는 기계 플랜트의 필요성을 초래하는 공간 제약이 있습니다. 또한, 소용돌이 낙하 샤프트 내부에 최대 50m까지 떨어지는 흐름에 의해 생성되는 많은 양의 에너지는 터널로 전달하기 전에 안전하게 소멸되고 유동을 제거해야합니다.
이러한 과제를 해결하기 위해 프로젝트 팀은 물리적 스케일 모델링과 함께 CFD(계산 유체 역학) 모델링을 광범위하게 사용했습니다.
전산 유체 역학 모델링
CFD는 초기 설계 단계에서 사용되는 주요 유압 모델링 도구로, 모든 유압 구조를 모델링하고, 설계 수정을 통합하고, 결과를 신속하게 시각화 및 분석하고, 성능을 마무리할 수 있는 기능을 제공했습니다.
제안된 설계의 3D 건물 정보 모델링(BIM) 형상을 CFD 소프트웨어로 전송하여 CFD 유체 도메인에 대한 형상을 생성하는 데 필요한 시간을 줄였습니다.
FlowScience Inc에서 개발한 Flow 3D가 주요 모델링 플랫폼으로 활용되었습니다. 이 소프트웨어는 공기-물 인터페이스를 추적하기 위해 유체 체적 방법을 적용하여 자유 표면 흐름을 정확하게 모델링하는 기능이 있습니다.
입방 격자를 사용한 3D 구조형 메쉬를 사용하였고, 레이놀즈평균 Navier-Stokes 접근법을 표준 k-omega 난기류 모델로 사용하여 난류를 해석하였습니다.
메쉬 해상도에 대한 민감도 분석이 수행되었고 계산 메쉬의 적합성에 대한 추론을 허용하기 위해 이전 개념 단계 구조의 물리적 스케일 모델링에서 사용 가능한 결과와 비교되었습니다. 와류 발생기 및 드롭 튜브의 목과 같이 급격한 기울기가 발생하는 영역의 메쉬에 특별한 주의를 기울였습니다.
전체 메쉬 해상도와 계산 효율성 간의 균형은 설계 목적을 위해 충분히 정확하지만 설계 프로그램 목표를 충족하는 시간 척도 내에서 결정적으로 중요한 솔루션을 생성하는 데 필요했습니다.
CFD 모델이 수렴되면 결과가 시각화되었습니다. 주요 산출물에는 구조 전체에 걸친 상세한 수위, 크기와 벡터, 흐름 유선이 있는 속도 플롯이 포함되었습니다. CFD 모델에 의해 생성된 데이터는 유동장의 거동을 이해하는 데 매우 유용했으며 이러한 결과를 분석하여 설계가 어떻게 수행되고 있는지에 대한 결론을 내릴 수 있었습니다.
물리적 스케일 유압 모델링
물리적 규모의 수력학적 모델링은 작동 조건의 전체 범위에 걸쳐 설계의 수력학적 성능을 종합적으로 평가하고 설계 개선 사항을 알리고 테스트하는 데 사용되었습니다.
프로그램의 효율성을 위해 수력구조물의 설계가 잘 진행된 단계에서 물리적인 규모의 모델링을 수행하였다. CFD 모델링은 이미 수행되어 설계의 전체 성능에 대한 확신을 제공했습니다. 주요 구조 부재도 MEICA 공장을 위해 크기가 조정되었고 설계 공간이 확보되었습니다.
설계 개발의 이 단계에서 물리적 모델링을 수행하는 것은 시간이 많이 소요되는 물리적 모델에 필요한 주요 변경의 위험을 줄이는 것을 목표로 했습니다. 또한 모델 테스트가 수력 구조의 최종 의도 설계를 가능한 한 가깝게 반영하도록 했습니다.
물리적 모델링을 위해 두 개의 사이트가 선택되었으며, 주로 공간 제약으로 인해 유압 구조의 설계가 더 복잡했습니다. 이러한 사이트는 다음과 같은 사이트였습니다.
그리니치 펌핑 스테이션은 1:10 규모의 전체 작업 현장 모델이 건설되었습니다.
CSO 차단 구조의 모델이 수행된 King Edward Memorial Park 및 Foreshore는 1:10 축척으로, 드롭 샤프트 에너지 소산 및 탈기 챔버의 별도 모델은 1:12 축척으로 구축되었습니다.
모델은 실험실 시설에서 전문 하청 업체 BHR 그룹에 의해 구축 및 테스트되었습니다. 모델은 최신 디자인 BIM 모델에서 생성된 모델 도면을 사용하여 주로 퍼스펙스와 합판으로 구축되었다. 모델 시공승인을 받기 전에 도면은 실험실에서 유압 구조물의 정확한 복제본을 보장하기 위해 BIM 모델에 대한 엄격한 치수 검사를 받았습니다.
중력의 힘이 이러한 구조에서 개방 채널 유체 흐름을 지배하기 때문에 유사성을 보장하기 위해 프로토타입(전체 규모 설계) 및 축소된 축소 모델에서 Froude 수를 동일하게 유지하는 것이 중요합니다. 따라서 Froude 수의 동일성을 유지하기 위해 모델을 유속으로 작동했습니다. 규모는 또한 모든 흐름 조건에서 흐름이 완전히 난류임을 보장할 수 있을 만큼 충분히 커야 했으며 이는 모델의 다른 부분에서 흐름의 레이놀즈 수를 추정하여 확인했습니다.
축소된 물리적 모델에서는 모든 스케일 효과를 제거할 수 없습니다. 표면 장력은 비례하지 않기 때문에 프로토타입과 모델의 Weber 수(초기 힘과 표면 장력 사이의 비율을 나타냄)가 다르고 둘 사이의 액체 상태에 포함된 공기의 양도 다릅니다. 이것은 방법의 한계로 인식되고 이해되며 공기 동반 결과에 스케일링 계수를 적용하여 해결되었습니다.
이 모델은 작동 사례를 설정하는 미리 정의된 테스트 매트릭스에 따라 테스트를 거쳤습니다. 여기에는 다양한 흐름 사례와 저장 터널 꼬리 수위가 포함됩니다. 유량은 보정된 기기로 엄격하게 제어되었으며, 필요한 경우 모델로의 유량은 관심 영역의 유량이 유입구 조건에 의해 인위적으로 영향을 받지 않도록 조절되었습니다.
흐름의 동작을 관찰하고 기록했습니다.
수위는 압력 태핑을 통해 또는 모델 측벽의 수직 눈금을 통해 시각적으로 기록되었습니다.
플로우 패턴은 염료 추적기의 도움을 받아 시각적으로 기록되었습니다.
특히 관심의 한 측면은 소용돌이 흐름이었다. 소용돌이 발생기및 소용돌이 낙하튜브를 통한 흐름에 대한 상세한 관찰은 흐름이 안정적이고, 맥동과 도미 효과가 없는지, 그리고 흐름 범위 전반특히 관심의 한 측면은 소용돌이 흐름이었습니다. 와류 발생기 및 와류 드롭 튜브를 통한 흐름에 대한 자세한 관찰은 흐름이 안정적이고 맥동 과도 효과가 없으며 와류 흐름이 드롭 튜브에서 잘 형성되어 흐름 범위 전체에 걸쳐 안정적인 공기 코어를 유지하면서 관찰되었습니다.
와류 발생기에서 임계유량이 발생하기 때문에 확실한 수두-방전 관계가 설정되어 수위를 판독하여 유량을 측정할 수 있는 기회를 제공합니다. 와류 발생기에 대한 접근 암거에 위치한 압력 탭핑은 유속 범위에 걸쳐 수심 값을 기록하여 각 방울 구조에 대해 수두 방출 곡선을 도출할 수 있도록 했습니다. 프로토타입에서 이 지점에서 수집된 레벨 신호는 흐름을 계산하고 격리 게이트를 제어하는 데 사용됩니다.
흐름이 와류 드롭 튜브 아래로 수 미터 떨어지고 드롭 샤프트의 바닥에 있는 물 풀로 충돌할 때 공기가 물 속으로 동반됩니다. 터널 시스템에서 발생하는 압축 공기 주머니와 저장 용량 감소 문제를 피하기 위해 드롭 샤프트에서 저장 터널로 전달되는 공기의 양을 최소화하는 것이 중요합니다. 이 목적을 달성하기 위해, 드롭 샤프트의 베이스가 흐름의 에너지 소산 및 탈기 기능을 수행하는 것이 매우 중요합니다. 이것은 충분한 체적을 제공하도록 샤프트의 크기를 조정하고 다음과 같은 흐름을 조절하기 위해 샤프트 내부 벽을 설계함으로써 달성되었습니다.
플런지 풀이 형성되었습니다.
샤프트의 흐름 경로/유지 시간은 가능한 한 오래 지속됩니다.
샤프트 의 베이스의 특정 영역은 위쪽 흐름 경로를 촉진합니다.
이러한 조치는 떨어지는 물의 에너지가 소멸되고 공기가 가능한 한 흐름에서 분리되도록 하는 것을 목표로 하고 저장 터널로 전달됩니다.
에너지 소산 및 탈기 구조의 성능을 평가하기 위해 드롭 샤프트에서 저장 터널을 통과하는 공기 흐름을 물 변위 방법으로 측정했습니다. 흐름에 혼입된 정확한 양의 공기를 보장하기 위해 모델은 와류 드롭 튜브의 전체 높이를 통합했습니다. 설계의 허용 기준에 대해 최대 기류는 최대 설계 수류의 백분율로 정의된 미리 정의된 값으로 제한되었습니다. 스케일 효과를 설명하기 위해 모델에서 허용 가능한 최대 기류량은 프로토타입에 비해 약 6배 감소했습니다.
물리적 규모 모델링은 또한 구조물을 통한 퇴적물의 이동성을 테스트했습니다. 이는 하수 네트워크에서 발생하는 예상 입자 크기 분포와 일치하도록 조정된 모의물의 양으로 모델에 투여함으로써 달성되었습니다.
모델의 설계 개선은 주로 탈기 성능을 개선하기 위한 샤프트 내부 구조의 조정, 퇴적물 이동성을 돕기 위한 벤치 및 기타 조치의 포함으로 구성되었습니다. 이러한 개선 사항은 재테스트를 통해 확인된 다음 설계에 통합되었습니다. 물리적 모델링의 데이터는 관찰된 좋은 일치와 함께 CFD 모델링의 결과와 비교되었습니다.
최종 모델링 결과는 흐름이 기존 하수 네트워크에서 전환되는 위치 근처에서 큰 난류가 발생하는 반면 차단 챔버는 이 에너지를 부분적으로 소산할 수 있을 만큼 충분히 크기가 지정되었으며 특정 수력 설계 요소를 포함하면 문제가 있는 유압 거동이 기계 장비 근처에서 관찰되었습니다. 더 높은 유속에서 일부 공기 동반 와류는 유체의 대부분에 형성됩니다. 그러나 이러한 높은 폭풍 유속의 간헐적인 특성을 고려할 때 콘크리트 구조물의 열화를 일으킬 것으로 예상되지는 않았습니다. 결과는 또한 구조가 최대 설계 흐름을 Thames Tideway Tunnel로 전환하여 기존 보유 CSO를 통한 유출을 방지할 수 있음을 나타냅니다. 차단실과 와류 낙하축을 연결하는 선형 연결 암거는 흐름 조절에 긍정적인 영향을 미쳤고 소용돌이 낙하 튜브의 작동은 흐름 범위에 걸쳐 안정적인 것으로 관찰되었습니다.
Thames Tideway Tunnel의 수력 구조물 설계에는 복잡한 3D 난류 유동 거동이 포함되며 설계 단계에서 고급 수력 모델링 도구를 사용해야 합니다. CFD 모델링을 통해 제안된 설계를 테스트하고 수정할 수 있으므로 설계 흐름이 필요한 성능 매개변수 내에서 안전하게 수용됩니다.
이 프로젝트에서 CFD를 활용한 주요 이점은 비교적 짧은 시간에 수력학적 모델링을 수행할 수 있는 능력, 생성된 데이터의 유용성 및 시각화할 수 있는 능력이었습니다. 이는 설계를 알리고 확인하는 데 도움이 되었습니다. CFD 모델링은 제한된 도시 환경 내에서 설정된 이러한 수력학적 구조를 설계하는 데 유용한 도구였습니다.
구조의 중요성으로 인해 물리적 모델링이 수행되어 결과에 대한 신뢰도를 높이고 CFD가 한계를 나타내는 수력 성능 측면을 추가로 연구했습니다. 물리적 모델은 이해 관계자에게 구조 내부에서 흐름이 어떻게 수행되고 있는지 정확히 보여주기 위해 유용한 것으로 입증되었습니다. 또한, 모델 테스트가 대부분 최종 설계를 반영한다는 점을 감안할 때 구조물의 수력 성능에 대한 기록이 유지됩니다.
5개 샤프트 중 4개에 대한 굴착이 진행 중이거나 완료되었으며 1차 기초 슬래브와 2차 라이닝이 올해 말 전에 샤프트에 부어질 것입니다. 주 터널인 Selina의 TBM은 2020년 터널링이 시작되어 연말에 현장으로의 마지막 여정을 시작할 것입니다.
The editor and publishers thank Ricardo Telo, Senior Hydraulic Engineer, and Tejal Shah, Senior Mechanical Engineer, both with Mott MacDonald, for providing the above article for publication.
Flood Inundation Evolution of Barrier Lake and Evaluation of Regional Ecological Spatiotemporal Response — A Case Study of Sichuan-Tibet Region
중국 쓰촨-티베트 지역은 댐 호수의 발생과 붕괴를 동반한 지진 재해가 빈번한 지역이었습니다. 댐 호수의 붕괴는 하류 직원의 생명과 재산 안전을 심각하게 위협합니다.
동시에 국내외 학자들은 주변의 댐 호수에 대해 우려하고 있으며 호수에 대한 생태 연구는 거의 없으며 댐 호수가 생태에 미치는 영향은 우리 호수 건설 프로젝트에서 매우 중요한 계몽 의의를 가지고 있습니다.
이 기사의 목적은 방벽호의 댐 붕괴 위험을 과학적으로 예측하고 생태 환경에 대한 영향을 조사하며 통제 조치를 제시하는 것입니다. 본 논문은 쓰촨-티베트 지역의 Diexihaizi, Tangjiashan 댐호, Hongshihe 댐의 4대 댐 호수 사건을 기반으로 원격 감지 이미지에서 수역을 추출하고 HEC-RAS 모델을 사용하여 위험이 있는지 여부를 결정합니다.
댐 파손 여부 및 댐의 경로 예측; InVEST 모델을 이용하여 1990년부터 2020년까지 가장 작은 행정 구역(군/구)이 위치한 서식지를 평가 및 분석하고, 홍수 침수 결과를 기반으로 평가합니다. 결과는 공학적 처리 후 안정적인 댐 호수(Diexi Haizi)가 서식지 품질 지수에 안정화 효과가 있음을 보여줍니다.
댐 호수의 형성은 인근 토지 이용 유형과 지역 경관 생태 패턴을 변화 시켰습니다. 서식지 품질 지수는 사이 호수 주변 1km 지역에서 약간 감소하지만 3km 지역과 5km 지역에서 서식지 품질이 향상됩니다. 인공 홍수 방류 및 장벽 호수의 공학적 보강이 필요합니다.
이 논문에서 인간의 통제가 강한 지역은 다른 지역의 서식지 질 지수보다 더 잘 회복될 것입니다.
The Sichuan-Tibet region of China has always been an area with frequent earthquake disasters, accompanied by the occurrence and collapse of dammed lakes. The collapse of dammed lakes seriously threatens the lives and property safety of downstream personnel.
At the same time, domestic and foreign scholars are concerned about the surrounding dammed lake there are few ecological studies on the lake, and the impact of the dammed lake on the ecology has very important enlightenment significance for our lake construction project. It is the purpose of this article to scientifically predict the risk of dam break in a barrier lake, explore its impact on the ecological environment and put forward control measures.
Based on the four major dammed lake events of Diexihaizi, Tangjiashan dammed lake, and Hongshihe dammed lake in the Sichuan-Tibet area, this paper extracts water bodies from remote sensing images and uses the HEC-RAS model to determine whether there is a risk of the dam break and whether Forecast the route of the dam; and use the InVEST model to evaluate and analyze the habitat of the smallest administrative district (county/district) where it is located from 1990 to 2020 and make an evaluation based on the results of flood inundation.
The results show that the stable dammed lake (Diexi Haizi) after engineering treatment has a stabilizing effect on the habitat quality index. The formation of the dammed lake has changed the nearby land-use types and the regional landscape ecological pattern.
The habitat quality index will decrease slightly in the 1 km area around Sai Lake, but the habitat quality will increase in the 3 km area and the 5 km area. Artificial flood discharge and engineering reinforcement of barrier lakes are necessary. In this paper, the areas with strong human control will recover better than other regions’ habitat quality index.
Fengshan Jiang ( email@example.com ) Yunnan University https://orcid.org/0000-0001-6231-6180 Xiaoai Dai Chengdu University of Technology https://orcid.org/0000-0003-1342-6417 Zhiqiang Xie Yunnan University Tong Xu Yunnan University Siqiao Yin Yunnan University Ge Qu Chengdu University of Technology Shouquan Yang Yunnan University Yangbin Zhang Yunnan University Zhibing Yang Yunnan University Jiarui Xu Yunnan University Zhiqun Hou Kunming institute of surveying and mapping
dammed lake, regional ecology, flood simulation, habitat quality
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Examinations of Damage Mechanism on the Chuteway Slabs of Spillway under Various Flow Conditions
Yoo, Hyung Ju ;
Shin, Dong-Hoon ;
Lee, Seung Oh
유형주 (홍익대학교 공과대학 건설환경공학과) ;
신동훈 (K-water연구원 물인프라안전연구소) ;
이승오 (홍익대학교 공과대학 건설환경공학과)
Published : 2021.06.03
최근 기후변화로 인한 집중호우의 영향으로 홍수 시 댐으로의 유입량이 설계 당시보다 증가하여 댐의 안전성 확보가 필요하다(감사원, 2003). 이에 건설교통부(2003)는 기후변화와 댐 노후화에 대비하여 치수능력증대사업을 추진하여 댐의 홍수배제능력을 확보하였고, 환경부(2020)에서는 40년 이상 경과된 댐을 대상으로 스마트 안전관리체계 구축을 통한 선제적 보수보강, 성능개선 및 자산관리로 댐의 장수명화를 목적으로 댐의 국가안전대진단을 추진하고 있다. 이에 본 연구에서는 댐 시설(여수로)의 노후도 평가 시 활용 될 수 있는 여수로 표면손상 원인규명에 대하여 3차원 수치모형(FLOW-3D 및 COMSOL Multiphysics)을 통해 검토하고자 한다. 연구대상 댐은 𐩒𐩒댐으로 지형 및 여수로를 구축하였으며, 계획방류량(200년 빈도) 및 최대방류량(PMF) 조건에서 모의를 수행하였다. 수치모의 계산의 정확도 검토를 위하여 Baffle의 설치를 통하여 시간에 따른 유량의 변화를 설계 값과 비교하였고 오차가 1.0% 이내를 만족하는 것을 확인하였다. 여수로 표면손상의 다양한 원인 중 기존연구(USBR, 2019)를 통하여 공동침식(Cavitation Erosion) 및 수력잭킹(Hydraulic Jacking)에 초점을 두었으며 방류조건 별 공동지수(Cavitation Index)산정을 통하여 공동침식 위험 구간을 확인하였다. 이음부의 균열 및 공동으로 인한 표층부 콘크리트의 탈락현상을 가속화시키는 수력잭킹 검토를 위하여 국부모형을 구축하였고 음압력(Negative Pressure), 정체압력(Stagnation Pressure), 양압력(Uplift Pressure)의 분포를 확인하였다. 최종적으로 COMSOL Multiphysics를 통하여 압력분포에 따른 구조해석을 수행하여 폰 미세스(Von Mises) 등가응력 및 변위를 검토하여 콘크리트의 탈락가능성을 확인하였다. 본 연구는 여수로 공동부 및 균열부에서의 손상메커니즘을 확인할 수 있는 기초적인 연구이지만 향후에는 다양한 지형조건 및 흐름조건에서의 압력분포 분석 및 유체-구조물 상호작용(Fluid-Structure Interaction, FSI)모의를 수행한다면 구조물 노후도 및 잔존수명 평가에 필요한 손상한계함수 도출이 가능할 것으로 기대된다.
Comparative study of experimental and CFD analysis for predicting discharge coefficient of compound broad crested weir
Present study highlights the behavior of weir crest head and width parameter on the discharge coefficient of compound broad crested (CBC) weir. Computational fluid dynamics model (CFD) is validated with laboratory experimental investigations.
In the discharge analysis through broad crested weirs, the upstream head over the weir crest (h) is crucial, where the result is mainly dependent upon the weir crest length (L) in transverse direction to flow, water depth from channel bed. Currently, minimal investigations are known for CFD validations on compound broad crested weirs.
The hydraulic research for measuring discharge numerically is carried out using FLOW 3D software. The model applies renormalized group (RNG) using volume of fluid (VOF) method for improved accuracy in free surface simulations. Structured hexagonal meshes of cubic elements define discretized meshing.
The comparative analysis of the numerical simulations and experimental observations confirm the performance of CBC weir for precise measurement of a wide range of discharges. Series of CFD model studies and experimental validation have led to constant range of discharg coefficients for various head over weir crest. The correlation coefficient of discharge predictions is 0.999 with mean error of 0.28%.
현재 연구에서는 CBC(compound broad crested) 위어의 배출 계수에 대한 위어 볏 머리 및 너비 매개변수의 거동을 강조합니다. 전산 유체 역학 모델(CFD)은 실험실 실험 조사를 통해 검증되었습니다.
넓은 볏이 있는 둑을 통한 유출 분석에서 둑 마루의 상류 수두(h)가 중요합니다. 여기서 결과는 주로 흐름에 대한 횡 방향의 둑 마루 길이(L), 수로 바닥에서 수심에 따라 달라집니다. . 현재 복합 넓은 볏 둑에 대한 CFD 검증에 대해 최소한의 조사가 알려져 있습니다.
수압 연구는 FLOW 3D 소프트웨어를 사용하여 수치적으로 측정합니다. 이 모델은 자유 표면 시뮬레이션의 정확도 향상을 위해 VOF(유체 체적) 방법을 사용하여 RNG(재정규화 그룹)를 적용합니다. 정육면체 요소의 구조화된 육각형 메쉬는 이산화된 메쉬를 정의합니다.
수치 시뮬레이션과 실험적 관찰의 비교 분석을 통해 광범위한 배출의 정확한 측정을 위한 CBC 둑의 성능을 확인했습니다. 일련의 CFD 모델 연구와 실험적 검증을 통해 다양한 head over weir crest에 대한 일정한 범위의 방전 계수가 나타났습니다. 방전 예측의 상관 계수는 0.999이고 평균 오차는 0.28%입니다.
compound weir, flow 3D, flow measurement, numerical technique, open channel
• The Head-Discharge relation is established for discharge measurement using compound broad crested weir, experimentally and numerically. • Assessment of head over weir crest for different step widths of proposed weir on discharge coefficient is executed. • Experimental and CFD results of weir performance demonstrate good agreement between the theoretical discharges by traditional rectangular weir formulae keeping Cd constant.
The head discharge relationship established for compound rectangular broad crested weir for various discharge ranges was validated by CFD technique. A three dimensional simulation software FLOW 3D was used for this purpose.
Original theoretical compound weir model depicts the relative average error between discharge predictions with Flow 3D simulation as 4.96% which is found less than the predictions made by graphical interpolation technique which is 5.33%.
The standard deviation in Cd parameter for CFD simulation model is less i.e. 0.0146 as compared to experimental output of 0.0502.
The correlation coefficient for physical and CFD studies for modified compound weir model is high, around 0.999 with error in discharge predictions being 0.28% as compared to the accuracy limits of about +3–5% stated in literature so far.
Discharge coefficient by experimental and CFD approach is maintained constant and equal to design input value of 0.6. Thus, the proposed CBC weir can be operated for various discharge ranges by maintaining constant discharge coefficients. Good agreement between the theoretical, experimental and CFD simulation results for obtaining discharge through compound broad crested weir ascertains the fact that CFD model can be used as an effective tool towards modeling flow through compound broad crested weir.
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Numerical Modeling of Failure Mechanisms in Articulated Concrete Block Mattress as a Sustainable Coastal Protection Structure
Ramin Safari Ghaleh(Department of Civil Engineering, K. N. Toosi University of Technology, Tehran 19967-15433, Iran)
Omid Aminoroayaie Yamini(Department of Civil Engineering, K. N. Toosi University of Technology, Tehran 19967-15433, Iran)
S. Hooman Mousavi(Department of Civil Engineering, K. N. Toosi University of Technology, Tehran 19967-15433, Iran)
Mohammad Reza Kavianpour(Department of Civil Engineering, K. N. Toosi University of Technology, Tehran 19967-15433, Iran)
해안선 보호는 전 세계적인 우선 순위로 남아 있습니다. 일반적으로 해안 지역은 석회암과 같은 단단하고 비자연적이며 지속 불가능한 재료로 보호됩니다. 시공 속도와 환경 친화성을 높이고 개별 콘크리트 블록 및 보강재의 중량을 줄이기 위해 콘크리트 블록을 ACB 매트(Articulated Concrete Block Mattress)로 설계 및 구현할 수 있습니다. 이 구조물은 필수적인 부분으로 작용하며 방파제 또는 해안선 보호의 둑으로 사용할 수 있습니다. 물리적 모델은 해안 구조물의 현상을 추정하고 조사하는 핵심 도구 중 하나입니다. 그러나 한계와 장애물이 있습니다. 결과적으로, 본 연구에서는 이러한 구조물에 대한 파도의 수치 모델링을 활용하여 방파제에서의 파도 전파를 시뮬레이션하고, VOF가 있는 Flow-3D 소프트웨어를 통해 ACB Mat의 불안정성에 영향을 미치는 요인으로는 파괴파동, 옹벽의 흔들림, 파손으로 인한 인양력으로 인한 장갑의 변위 등이 있다. 본 연구의 가장 중요한 목적은 수치 Flow-3D 모델이 연안 호안의 유체역학적 매개변수를 모사하는 능력을 조사하는 것입니다. 콘크리트 블록 장갑에 대한 파동의 상승 값은 파단 매개변수( 0.5 < ξ m – 1 , 0 < 3.3 )가 증가할 때까지(R u 2 % H m 0 = 1.6) ) 최대값에 도달합니다. 따라서 차단파라미터를 증가시키고 파괴파(ξ m − 1 , 0 > 3.3 ) 유형을 붕괴파/해일파로 변경함으로써 콘크리트 블록 호안의 상대파 상승 변화 경향이 점차 증가합니다. 파동(0.5 < ξ m − 1 , 0 < 3.3 )의 경우 차단기 지수(표면 유사성 매개변수)를 높이면 상대파 런다운의 낮은 값이 크게 감소합니다. 또한, 천이영역에서는 파단파동이 쇄도파에서 붕괴/서징으로의 변화( 3.3 < ξ m – 1 , 0 < 5.0 )에서 상대적 런다운 과정이 더 적은 강도로 발생합니다.
Shoreline protection remains a global priority. Typically, coastal areas are protected by armoring them with hard, non-native, and non-sustainable materials such as limestone. To increase the execution speed and environmental friendliness and reduce the weight of individual concrete blocks and reinforcements, concrete blocks can be designed and implemented as Articulated Concrete Block Mattress (ACB Mat). These structures act as an integral part and can be used as a revetment on the breakwater body or shoreline protection. Physical models are one of the key tools for estimating and investigating the phenomena in coastal structures. However, it does have limitations and obstacles; consequently, in this study, numerical modeling of waves on these structures has been utilized to simulate wave propagation on the breakwater, via Flow-3D software with VOF. Among the factors affecting the instability of ACB Mat are breaking waves as well as the shaking of the revetment and the displacement of the armor due to the uplift force resulting from the failure. The most important purpose of the present study is to investigate the ability of numerical Flow-3D model to simulate hydrodynamic parameters in coastal revetment. The run-up values of the waves on the concrete block armoring will multiply with increasing break parameter ( 0.5 < ξ m − 1 , 0 < 3.3 ) due to the existence of plunging waves until it ( R u 2 % H m 0 = 1.6 ) reaches maximum. Hence, by increasing the breaker parameter and changing breaking waves ( ξ m − 1 , 0 > 3.3 ) type to collapsing waves/surging waves, the trend of relative wave run-up changes on concrete block revetment increases gradually. By increasing the breaker index (surf similarity parameter) in the case of plunging waves ( 0.5 < ξ m − 1 , 0 < 3.3 ), the low values on the relative wave run-down are greatly reduced. Additionally, in the transition region, the change of breaking waves from plunging waves to collapsing/surging ( 3.3 < ξ m − 1 , 0 < 5.0 ), the relative run-down process occurs with less intensity.
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Wave Loads Assessment on Coastal Structures at Inundation Risk Using CFD Modellin
Ana GomesJosé Pinho
Conference paperFirst Online: 19 November 2021
지난 수십 년 동안 극한 현상은 심각성과 주민, 기반 시설 및 인류 활동에 대한 위험 증가로 인해 우려를 불러일으켰습니다. 오늘날 해안 구조물이 범람하고 해변 침식 및 기반 시설 파괴가 전 세계 해안에서 흔히 발생합니다.
완화에 효율적으로 기여하고 효율적인 방어 조치를 채택하려면 이러한 영향을 예상하는 것이 매우 중요합니다. 대규모 물리적 모델을 기반으로 하는 이전 실험 작업에서 목조 교각 상단의 고가 해안 구조물의 공극과 그에 따른 수평 및 수직 파도력 사이의 관계가 다양한 파도 하중 조건에 대해 연구되었습니다.
이러한 실험 결과는 CFD 도구를 사용하여 유체/구조 상호 작용을 시뮬레이션하기 위한 수치 모델에 대한 보정 데이터 역할을 합니다. 주어진 파도 조건에 대해 물과 구조물 베이스 레벨 사이의 공극 높이를 다르게 하여 세 가지 시나리오를 시뮬레이션했습니다.
수치 결과를 물리적 모델 결과와 비교하면 수치적으로 구한 수평력과 수직력의 최대값은 각각 평균 14.4%와 25.4%의 상대차로 만족할 만합니다. 또한 구조물을 지지하는 교각에 작용하는 압력과 전단응력을 시뮬레이션하기 위해 실제 수치모델을 적용하였으며, 서로 다른 공극의 높이를 고려하고 각각의 CPU 시뮬레이션 시간을 평가하였습니다.
이러한 방식으로 CFD 모델의 운영 모델링 기능을 평가하여 조기 경보 시스템 내에서 최종 사용에 대한 예측 선행 시간 제한을 결정했습니다.
Coastal risk, Elevated coastal structure, Numerical simulation, Flow-3D® , 해안 위험, 높은 해안 구조, 수치 시뮬레이션
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Investigation of the Turbulent Schmidt Number Effects On Numerical Modelling Of Vortex-Type Stormwater Retention Ponds
S. M. Yamini1; H. Shamloo2; S. H. Ghafari3 1M.Eng., Dep. of Civil Engineering K.N. Toosi University of Technology, Valiasr St., Tehran, Iran. firstname.lastname@example.org 2Associate Professor, Dep. of Civil Engineering K.N. Toosi University of Technology, Valiasr St., Tehran, Iran. email@example.com 3Ph.D., Dep. of Civil Engineering Univ. of Tehran, Enqelab St., Tehran, Iran. firstname.lastname@example.org
정확하고 신뢰할 수 있는 CFD 모델링 결과를 얻는 것은 이러한 시뮬레이션에서 입력의 중요성 때문에 종종 정밀 조사의 대상입니다.
난류 모델링이 RANS(Reynolds-Averaged Navier-Stokes) 방정식을 기반으로 하는 경우 난류 스칼라 전송을 추정하려면 난류 흐름에서 질량 1에 대한 운동량 확산의 비율로 정의되는 난류 슈미트 수(Sct)의 정의가 필요합니다.
그러나 이 매개변수는 난류 흐름의 속성이므로 보편적인 값이 허용되지 않았습니다. 우수 저류지의 수치 연구에서 적절한 Sct를 설정하는 실제 역할은 수력 효율의 평가가 추적자 테스트의 출력 질량 농도를 기반으로 하기 때문에 가장 중요합니다.
본 연구에서는 FLOW-3D를 사용하여 와류형 우수 저류지의 여러 수치 시뮬레이션을 체계적으로 수행했습니다. 다양한 난류 슈미트 수의 범위는 메쉬 감도를 조사하기 위해 다른 수의 계산 셀에 의해 수행된 수치 시뮬레이션에 도입되었습니다.
또한 사용자 정의 또는 자동 계산 값으로 최대 난류 혼합 길이의 영향을 평가했습니다. 이 연구의 결과는 실험 결과와 밀접한 일치를 제공하는 Sct= 0.625와 함께 수리학적 직경의 7%와 동일한 최대 난류 혼합 길이의 일정한 값을 갖는 확립된 수치 모델입니다.
특히 수치적 무차원 RDT 곡선의 피크 값은 극적으로 감소하여 실험 결과와 거의 일치했습니다. 이것은 FLOW-3D가 난류 유동의 와류형 물리학에서 질량 확산도를 적절하게 예측하는 상당한 능력을 가지고 있다는 결론을 내립니다.
– Achieving accurate and reliable CFD modelling results often is the subject of scrutiny because of the importance of the inputs in those simulations. If turbulence modelling is based on Reynolds-Averaged Navier-Stokes (RANS) equations, estimating the turbulent scalar transport requires the definition of the turbulent Schmidt number (Sct), defined as the ratio of momentum diffusivity to mass one in a turbulent flow. However, no universal value has been accepted for this parameter as it is a property of turbulent flows.
The practical role of establishing a suitable Sct in numerical studies of stormwater retention ponds is of the utmost importance because the assessment of the hydraulic efficiency of them is based on output mass concentration of tracer tests. In this study, several numerical simulations of a vortex-type stormwater retention pond were systematically carried out using FLOW-3D. A range of various turbulent Schmidt numbers were introduced in numerical simulations performed by different number of computational cells to investigate mesh sensitivity.
Moreover, the effects of maximum turbulent mixing length as a user-defined or automatically computed value were assessed. The outcome of this study is an established numerical model with a constant value of maximum turbulent mixing length equal to 7% of the hydraulic diameter along with Sct= 0.625 which provides a close agreement with experimental results.
Noticeably, the peak values of numerical dimensionless RDT curves are dramatically decreased, resulted in a close match with experimental results. This concludes that FLOW-3D has a considerable ability to appropriately predict mass diffusivity in vortex-type physics of turbulent flows.
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대용량 배출구가 있는 수중 여수로는 일반적으로 홍수 처리 및 침전물 세척의 이중 기능을 수행하기 위해 댐 정상 아래에 제공됩니다. 이 방수로를 통과하는 홍수 물은 난류 거동을 나타냅니다.
게다가 이러한 난류의 수력학적 분석은 어려운 작업입니다.
따라서 본 연구는 파키스탄 Mangla Dam에 건설된 수중 여수로의 수리학적 거동을 수치해석을 통해 조사하는 것을 목적으로 한다. 또한 다양한 작동 조건에서 화기의 유압 성능을 평가했습니다.
Mangla Spillway의 흐름을 수치적으로 모델링하는 데 전산 유체 역학 코드 FLOW 3D가 사용되었습니다. 레이놀즈 평균 Navier-Stokes 방정식은 난류 흐름을 수치적으로 모델링하기 위해 FLOW 3D에서 사용됩니다.
연구 결과에 따르면 개발된 모델은 최대 6%의 허용 오차로 흐름 매개변수를 계산하므로 수중 여수로 흐름을 시뮬레이션할 수 있습니다.
또한, 여수로 슈트 베드 주변 모델에 의해 계산된 공기 농도는 폭기 장치에 램프를 설치한 후 6% 이상으로 상승한 3%로 개발된 모델도 침수형 폭기 장치의 성능을 평가할 수 있음을 보여주었습니다.
Submerged spillways with large capacity outlets are generally provided below the dam crest to perform the dual functions of flood disposal and sediment flushing. Flood water passing through these spillways exhibits turbulent behavior. Moreover; hydraulic analysis of such turbulent flows is a challenging task. Therefore, the present study aims to use numerical simulations to examine the hydraulic behavior of submerged spillways constructed at Mangla Dam, Pakistan. Besides, the hydraulic performance of aerator was also evaluated at different operating conditions. Computational fluid dynamics code FLOW 3D was used to numerically model the flows of Mangla Spillway. Reynolds-averaged Navier–Stokes equations are used in FLOW 3D to numerically model the turbulent flows. The study results indicated that the developed model can simulate the submerged spillway flows as it computed the flow parameters with an acceptable error of up to 6%. Moreover, air concentration computed by model near spillway chute bed was 3% which raised to more than 6% after the installation of ramp on aerator which showed that developed model is also capable of evaluating the performance of submerged spillway aerator.
1 Department of Civil Engineering, Faculty of Engineering, University of Maragheh, Iran
2 Water Engineering Department, University of Tabriz, Tabriz, Iran
3 M.Sc. Student, Department of Civil Engineering, Faculty of Engineering, University of Maragheh, Maragheh, Iran
The importance of water control and distribution in irrigation and behind dams requires the use of practical and modern methods. The presence of sill under sluice gate is one of the solutions to control the flow rate. Therefore, this study was conducted to numerically investigate the discharge coefficient (Cd) of sluice gate with different heights and widths of sills in free flow conditions. The simulations were performed using FLOW-3D software and finite volume method. The results of numerical study showed that the gate opening has a good effect on the Cd with sill and non-sill condition. In both cases, the gate opening is inversely related to the Cd. This means that the Cd increases as the gate opening decreases. Results showed that reducing the gate opening from 5 cm to 2 cm increases the Cd in the gate with sill by 9% compared to the non-sill gate. The results also indicate that the height of the sill is one of the parameters affecting the Cd. The minimum and maximum discharge coefficients in gate with sill compared to the non-sill condition were estimated at 1.5% and 18%, respectively. Examination of sill width changes showed that decreasing the width reduces the discharge coefficient by reducing the amount of velocity and flow pressure along the sill sides. The effect of three parameters of gate opening, sill height and sill width were compared. The results showed that increasing the sill width compared to the two mentioned parameters has the maximum increase in the Cd
관개 및 댐 뒤에서 물 관리 및 분배의 중요성은 실용적이고 현대적인 방법의 사용을 요구합니다. 수문 아래 문턱의 존재는 유량을 제어하는 솔루션 중 하나입니다.
따라서 본 연구는 자유유동 조건에서 문턱의 높이와 너비가 다른 수문의 토출계수(Cd)를 수치적으로 조사하기 위해 수행되었습니다. 시뮬레이션은 FLOW-3D 소프트웨어와 유한 체적 방법을 사용하여 수행되었습니다.
수치 연구의 결과는 게이트 개방이 sill 및 non-sill 조건에서 Cd에 좋은 영향을 미치는 것으로 나타났습니다. 두 경우 모두 게이트 개방은 Cd와 반비례합니다. 이것은 게이트 개방이 감소함에 따라 Cd가 증가한다는 것을 의미합니다.
결과에 따르면 게이트 개구부를 5cm에서 2cm로 줄이면 비문이 있는 게이트에 비해 씰이 있는 게이트의 Cd가 9% 증가합니다. 결과는 또한 문턱의 높이가 Cd에 영향을 미치는 매개변수 중 하나임을 나타냅니다.
문턱이 없는 문에 비해 문턱이 있는 문에서 최소 및 최대 배출 계수는 각각 1.5% 및 18%로 추정되었습니다. 문턱 너비 변화를 조사하면 너비를 줄이면 문턱 측면을 따라 유속과 흐름 압력의 양이 감소하여 배출 계수가 감소하는 것으로 나타났습니다.
게이트 개방, 문턱 높이 및 문턱 너비의 세 가지 매개변수의 효과를 비교했습니다. 결과는 언급된 두 매개변수에 비해 씰 너비를 늘리면 Cd가 최대로 증가한다는 것을 보여주었습니다.
결과는 또한 문턱의 높이가 Cd에 영향을 미치는 매개변수 중 하나임을 나타냅니다. 문턱이 없는 문에 비해 문턱이 있는 문에서 최소 및 최대 배출 계수는 각각 1.5% 및 18%로 추정되었습니다. 문턱 너비 변화를 조사하면 너비를 줄이면 문턱 측면을 따라 유속과 흐름 압력의 양이 감소하여 배출 계수가 감소하는 것으로 나타났습니다.
게이트 개방, 문턱 높이 및 문턱 너비의 세 가지 매개변수의 효과를 비교했습니다. 결과는 언급된 두 매개변수와 비교하여 문턱 너비를 늘리면 Cd가 최대로 증가한다는 것을 보여주었습니다.
결과는 또한 문턱의 높이가 Cd에 영향을 미치는 매개변수 중 하나임을 나타냅니다. 문턱이 없는 문에 비해 문턱이 있는 문에서 최소 및 최대 배출 계수는 각각 1.5% 및 18%로 추정되었습니다.
문턱 너비 변화를 조사하면 너비를 줄이면 문턱 측면을 따라 유속과 흐름 압력의 양이 감소하여 배출 계수가 감소하는 것으로 나타났습니다. 게이트 개방, 문턱 높이 및 문턱 너비의 세 가지 매개변수의 효과를 비교했습니다. 결과는 언급된 두 매개변수에 비해 씰 너비를 늘리면 Cd가 최대로 증가한다는 것을 보여주었습니다. 문턱 너비 변화를 조사하면 너비를 줄이면 문턱 측면을 따라 유속과 흐름 압력의 양이 감소하여 배출 계수가 감소하는 것으로 나타났습니다.
게이트 개방, 문턱 높이 및 문턱 너비의 세 가지 매개변수의 효과를 비교했습니다. 결과는 언급된 두 매개변수에 비해 씰 너비를 늘리면 Cd가 최대로 증가한다는 것을 보여주었습니다. 문턱 너비 변화를 조사하면 너비를 줄이면 문턱 측면을 따라 유속과 흐름 압력의 양이 감소하여 배출 계수가 감소하는 것으로 나타났습니다.
게이트 개방, 문턱 높이 및 문턱 너비의 세 가지 매개변수의 효과를 비교했습니다. 결과는 언급된 두 매개변수와 비교하여 문턱 너비를 늘리면 Cd가 최대로 증가한다는 것을 보여주었습니다.
이 기사는 BC Hydro의 Hydrotechnical부서의 전문 엔지니어인 M.A.Sc., P.Eng의 FaizalYusuf에 의해 기고되었다.
브리티시 콜롬비아의 공공 전력 회사인 BC Hydro는 FLOW-3D를 사용하여 현존하는 여러 댐의 복잡한 유압 문제를 조사하고 제안된 시설의 설계와 최적화를 지원합니다. 본 기사에서는 FLOW-3D를 다양한 유형의 드릴에 적용하는 방법과 신뢰할 수 있는 프로토 타입 또는 수치 모델 보정용 물리적 유압 모델 데이터의 중요성을 강조하는 세가지 사례가 제시됩니다.
W.A.C. Bennett Dam
Shock Waves in Spillway Chute
W.C. Bennett 댐에서는 1960년대 물리적 유압 모델과 프로토 타입 사이에 있었던 레일 궤도의 차이로 인해 충격파 형성에 대한 신뢰할 수 있는 결론을 도출하기 어렵습니다. 이 자료는 실제 모델 테스트 결과의 슈트 용량을 제공합니다. 콘크리트 라인 스풀 레이 슈트의 충격 파장의 크기는 헤드 워크에 있는 세 개의 방사형 게이트의 다운 스트림이 44% 감소되는데 크게 영향을 받습니다. 방사형 관문의 방사형 개구부의 충격파는 지역적으로 더 높은 수위로 이어져 특정 과거 작업에서 슈트 월의 과다 주입을 야기합니다.
2012년에 최대 2,865 m3/s 의 배출에 대한 프로토 타입 유출 테스트가 실행되어 슈트 벽, 슈트 내 물 표면에 대한 3D레이저 스캔 및 FLOW-3D model 보정을 위한 흐름 패턴. 수치 모델과 현장 관찰 간에, 특히 슈트 월의 첫번째 충격파의 위치와 높이 사이에 훌륭한 일치가 이루어졌습니다.
보정된 FLOW-3D모델은 기존에 규정된 바와 같이 3개의 방사형 관문이 모두 열리는 한, 유출되지 않고 설계 홍수를 안전하게 통과할 수 있음을 확인했습니다. 바깥쪽 문을 이용한 허가 명령은 안쪽 문보다 더 많이 열립니다. CFD모델 또한 spillway 슈트의 콘크리트 손상에 대한 통찰력을 제공했습니다. FLOW-3D시뮬레이션 결과로부터 계산된 공동지수를 USBR의 경험적 데이터와 비교했고, spillway의 과거 성능과 일치하는 것으로 확인되었습니다. 수치 해석을 통해 현장 검사를 지원하였으며, 이를 통해 슈트의 콘크리트 상태의 악화가 캐비테이션 때문이 아니라는 결론을 내렸습니다.
Poor Approach Conditions and Uncertainty of Spillway Rating Curves
FLOW-3D는 댐 우측 교대에 수직 리프트 게이트가 3개 포함된 Strathcona댐 배수로의 등급 곡선과 관련한 열악한 접근 조건 및 불확실성을 조사하는 데 사용되었습니다. Strathcona spillway의 등급 곡선은 경험적인 조정과 교각의 기하학적 구조가 포함되지 않은 flume의 제한적인 물리적 유압 모델 테스트의 조합으로부터 개발되었습니다. 수치 모델 테스트 및 보정은 세개의 게이트가 모두 열려 있었던 1982년부터의 프로토 타입 유출 관측치와 비교하여 이루어진 것입니다. 맨 왼쪽 베이의 streamline입니다. 최좌측 베이로의 흐름은 댐 축에 평행하게 흐르는 물과 지하수 댐의 상류 경사에 인접한 콘크리트 옹벽 위로 곤두박질쳐 왜곡됩니다. 이 흐름은 다른 두 베이로 훨씬 더 부드럽게 들어갑니다. 프로토 타입과 비교하여 수치 모델에서 생성된 매우 유사한 흐름 패턴 외에도, 게이트 섹션에서 시뮬레이션된 수위는 1982년의 현장 측정 값과 0.1m이내에 일치했습니다.
보정된 CFD모델은 모든 게이트가 완전히 열린 상태에서 탱크의 정상 작동 범위에 대해 배수로 정격 곡선의 5%이내에서 배출을 생성합니다. 그러나 큰 홍수가 지나가는 동안 발생할 수 있는 더 높은 저장소 수준에서(그림 3) 시뮬레이션 배출과 등급 곡선 간의 차이는 다음과 같이 10%보다 큽니다. 단순화된 기하학적 구조와 경험적 보정을 사용한 물리적 모델 시험은 복잡한 접근 흐름 패턴을 적절히 나타내지 않았습니다. FLOW-3D모델은 개별 베이의 등급 곡선 정확도, 게이트 조건 및 오리피스와 자유 표면 흐름 사이의 전환에 대한 추가적인 통찰력을 제공합니다.
John Hart Dam
Optimization of a Proposed Spillway
John Hart 콘크리트 댐은 기존의 게이트 배수로와 현재 건설 중인 낮은 층의 출구 구조 사이에 위치할 새로운 free crest spillway를 포함하도록 개조될 것입니다. FLOW-3D를 사용한 체계적인 최적화 프로세스를 통해 제안된 배수로 설계가 크게 개선되었습니다. free crest 배수로의 예비 설계는 엔지니어링 유압 설계 가이드에 기초했습니다. 콘크리트 에이프런 블록은 댐의 끝에 있는 바위를 보호하기 위한 것입니다. 새로운 우측 도류벽이 새 배수로에서 테일 레일 풀로 흐르는 흐름을 유도하고 낮은 레벨의 배수로 구조물을 배수로로부터 보호합니다.
그림 4는 새 레일의 초기 설계와 최적화 설계에 대한 FLOW-3D모델 결과를 보여 줍니다. CFD분석을 통해 배수 용량이 10%증가하고 도로가 심하게 감소했습니다. 배수로 돌출부 위에 있고 제안된 오른쪽 벽을 따라 최대 5m의 수위 감소를 포함한 흐름 패턴을 개선합니다. 제안된 설계를 확인하기 위해 물리적 유압 모델 테스트가 사용됩니다.
BC Hydro는 다양한 유형의 댐과 물 운반 구조의 흐름 패턴 및 성능 대한 광범위한 유압 장치 문제를 조사하기 위해 FLOW-3D를 사용해 왔습니다. 프로토 타입 데이터와 신뢰할 수 있는 물리적 유압 모델 테스트는 수치 모델 결과에 대한 신뢰도를 높이기 위해 가능할 때마다 사용됩니다
Keyword : 3D Hydraulic Modeling,CFD, CFD Model, Computational Fluid Dynamics, Dam Hydraulics, Hydrology structure damage
급격한 변화나 예기치 못한 노후화로 인해 댐에서 복잡한 문제가 발생하는 경우 20세기에 개발된 산업 표준 설계 방정식과 방법론이 많은 경우 올바른 솔루션을 제공할 수는 없습니다. 다행스럽게도 엔지니어들은 적절한 조치나 수리를 적용할 수 있도록 유압 상황을 확인하기 위해 전산유체역학(CFD) 모델을 사용할 수 있게 되었습니다.
About the Expert:
Matthew Hickox, PE, brings civil engineering expertise in stormwater and river design, planning, and construction phase services. His experience is founded on a solid understanding of hydrologic modeling, 1- and 2-dimensional hydraulic modeling, in-stream hydraulic structures, scour protection measures, culvert and bridge hydraulics, and the regulatory environment for stormwater projects.
How Does CFD Work in Practice?
최근의 한 사례에서 하천 수문학 및 지형학은 낮은 수두 전환 댐 주변에서 변경되었습니다. 지난 수십 년 동안 빠르게 발전해 온 도시 지역의 하류에 있는 모래 바닥 하천 시스템에 위치한 댐의 문제는 주변 하천 시스템에서 일어나는 여러 가지 일들로 인해 복잡해졌습니다. 증가하는 도시화는 배출 빈도를 증가시켰을 뿐만 아니라 기본 흐름을 증가시켰습니다. 수리학적으로 가파른 시스템은 일시적인 지류에서 연간 베이스 흐름으로의 변화가 상류가 침식됨에 따라 퇴적물 부하도 증가했음을 의미했습니다.
이 조합은 전환 댐의 하류 수로가 지난 15년 동안 3-4피트 감소했고, 배수가 감소된 정수장 apron에서 속도가 증가했으며 구조물 표면에 마모를 유발하는 퇴적물 하중이 감소했음을 의미합니다. 이러한 문제 중 어느 것도 전환 댐의 원래 설계의 잘못이 아니었지만 변화하는 하천 수문 및 지형학으로 인해 원래 설계자가 예상하지 못한 조건이 발생했습니다.
기존 구조물의 단위 너비 CFD 모델은 기존 현장 조건으로 인해 정수기 계류장에 수압 점프가 형성되지 않았다는 현장 관찰을 확인했습니다. 1).
설계 표고(열화 전)에서 하류 하류 바닥 표고와 함께 개발된 유사한 단위 너비 CFD 모델은 원래 설계가 정수 유역 계류장과 배수로 전면 근처에서 수압 점프를 생성한다는 것을 보여주었습니다. 이 단위 너비 CFD 모델은 구조에 영향을 미치는 수력학의 가치 있는 검증을 제공하지만 구조 손상이 구조 중간에서 매우 뚜렷하고 다른 영역에서는 거의 손대지 않았기 때문에 이것만으로는 충분하지 않습니다. (그림 2)
전체 기존 조건 CFD 모델은 정수조 앞치마 마모의 범위와 그에 따른 손상을 확인했습니다. (그림 3 및 4)
이 구조물에 대한 수리를 위한 예비 설계 동안 간단한 분석에 따르면 구조물의 미수를 높이는 것이 방수로 토우 근처의 구조물에 수력학적 점프를 만드는 데 도움이 될 것이며, 이는 정수 유역 계류장과 계류장을 가로지르는 극한 속도를 감소시킬 것입니다. 따라서 구조의 마모를 크게 줄입니다(그림 5 참조). 이 예비 제안 조건 CFD 모델은 엔드 실 높이만 높였습니다. 구조물 하류의 하천 시스템의 상태와 지형은 나머지 설계 수명 동안 구조물의 안정성을 보장하기 위해 모든 최종 설계 조건에 대해 평가되어야 합니다.
CFD 모델은 설계 상황이 확립된 설계 방정식 및 절차의 한계 내에 깔끔하게 속하지 않을 때 유압을 확인하는 또 다른 도구를 제공합니다. 구조와 유역의 개요에 대해 자세히 설명하는 전체적인 관점은 프로젝트 현장의 현재와 미래의 상태를 평가하는 데 필요합니다. 이 예에서 구조의 설계 및 작동은 원래 설계와 매우 유사하게 유지됩니다. 구조 주변에서 변경된 것은 하천 시스템입니다. CFD는 현장 조건 변경으로 인해 예기치 않은 수리력 및 구조 손상이 발생할 때 복잡한 수리력을 분석할 수 있는 도구 상자의 또 다른 도구를 제공합니다.
CFD 또는 여기 Ayres에서 제공하는 유압 엔지니어링 서비스에 대한 자세한 내용은 Matthew Hickox, PE에게 문의하십시오.
Equation for ship wave crests in the entire range of water depths
Byeong Wook Lee a , Changhoon Lee b, *a Coastal Development and Ocean Energy Research Center, Korea Institute of Ocean Science & Technology, 385 Haeyang-ro, Busan, 49111, Republic of Korea b Department of Civil and Environmental Engineering, Sejong University, 209 Neungdong-ro, Gwangjin-gu, Seoul, 05006, Republic of Korea
An equation for ship wave crests y/x in the entire range of water depths is developed using the linear dispersion relation. In deep water, the developed equation is reduced to the equation of Kelvin (1906). The locations of ship wave crests in the x – and y -directions are obtained using a dimensionless constant C. The wave ray angle θc at the cusp locus is determined using the condition that θc is maximal at the cusp locus and the cusp locus angle is determined as αc=−tan−1(y/x)max. Numerical experiments are conducted using the FLOW-3D to simulate ship wave propagation. The cusp locus angles of the FLOW-3D are similar to both those of the present theory and Havelock (1908) theory in the entire range of the Froude number. Both the present theory and the FLOW-3D yield that, with the increase of ship speed, the Froude number increases and does the wavelength. For the Froude number equal to or greater than unity, the wavelength becomes infinitely large and the transverse waves disappear. The wavelengths of the FLOW-3D are slightly smaller than those of the present theory because the FLOW-3D considers the decrease of wavelength due to energy dissipation which happens because of viscosity of water and turbulence of high-speed particle velocities.
Ship wave crests Cusp locus angle Entire range of water depths Theoretical solution Numerical experiment
kylas, T.R., 1984. On the excitation of long nonlinear water waves by a moving pressure distribution. J. Fluid Mech. 141, 455–466.
Chen, X.N., Sharma, S.D., 1995. A slender ship moving at a near-critical speed in a shallow channel. J. Fluid Mech. 291, 263–285. David, C.G., Roeber, V., Goseberg, N., Schlurmann, T., 2017. Generation and propagation of ship-borne waves – solutions from a Boussinesq-type model. Cost Eng. 127, 170–187. Ersan, D.B., Beji, S., 2013. Numerical simulation of waves generated by a moving pressure field. Ocean Eng. 59, 231–239. Ertekin, R.C., Webster, W.C., Wehausen, J.V., 1986. Waves caused by a moving disturbance in a shallow channel of finite width. J. Fluid Mech. 169, 275–292. Fang, M.-C., Yang, R.-Y., Shugan, I.V., 2011. Kelvin ship wake in the wind waves field and on the finite sea depth. J. Mech. 27 (1), 71–77. Havelock, T.H., 1908. The propagation of groups of waves in dispersive media with application to waves on water produced by a travelling disturbance. Proc. Royal Soc. London Ser. A 398–430. Hennings, I., Romeiser, R., Alpers, W., Viola, A., 1999. Radar imaging of Kelvin arms of ship wakes. Int. J. Remote Sens. 20 (13), 2519–2543. Hur, D.S., Lee, J., Choi, D.S., Lee, H.W., 2011. On run-up characteristics of revetment under interaction among ocean wave, current and ship induced wave in the canal. In: Proceedings of the 37th Conference on the Korean Society of Civil Engineers, pp. 588–591 (in Korean). Johnson, J.W., 1958. Ship waves in navigation channels. In: Proceedings of the 6th Conference on Coastal Engineering, pp. 666–690. Kang, Y.S., Kim, P.J., Hyun, S.K., Sung, H.K., 2008. Numerical simulation of ship-induced wave using FLOW-3D. J. Korean Soc. Coast. Ocean Eng. 20 (3), 255–267 (in Korean). Kelvin, 1887. On ship waves. In: Proceedings of the Institution of Mechanical Engineering, pp. 409–433. Kelvin, 1906. Deep sea ship-waves. Proc. R. Soc. Edinb. 25 (2), 1060–1084. Lamb, H., 1945. Hydrodynamics. Dover Publications. Lee, C., Lee, B.W., Kim, Y.J., Ko, K.O., 2011. Ship wave crests in intermediate-depth water. In: Proceedings of the 6th International Conference on Asian and Pacific Coasts, pp. 1818–1825. Lee, B.W., Lee, C., Kim, Y.J., Ko, K.O., 2013. Prediction of ship wave crests on varying water depths and verification by FLOW-3D. J. Korean Soc. Civil Eng. 33 (4), 1447–1454 (in Korean). Lighthill, M.J., Whitham, G.B., 1955. On kinematic waves: I. Flood movement in long rivers; II. Theory of traffic flow on long crowded roads. Proc. R. Soc. A 229, 281–345. Newman, J.N., 1970. Recent research on ship waves. In: Proceedings of the 8th Symposium on Naval Hydrodynamics, pp. 519–545. Newman, J.N., 1977. Marine Hydrodynamics. The MIT Press. Reed, A.M., Milgram, J.H., 2002. Ship wakes and their radar images. Annu. Rev. Fluid Mech. 34, 469–502. Shemdin, O.H., 1990. Synthetic aperture radar imaging of ship wakes in the Gulf of Alaska. J. Geophys. Res. 95 (C9), 16319–16338. Shi, F., Malej, M., Smith, J.M., Kirby, J.T., 2018. Breaking of ship bores in a Boussinesqtype ship-wake model. Cost Eng. 132, 1–12. Sorensen, R.M., 1967. Investigation of ship-generated waves. J. Waterw. Harb. Div. 85–99. ASCE. Sorensen, R.M., 1969. Waves generated by model ship hull. J. Waterw. Harb. Div. 513–538. ASCE. Sorensen, R.M., Weggel, J.R., 1984. Development of ship wave design information. In: Proceedings of the 19th Conference on Coastal Engineering, pp. 3227–3243. ASCE. Stoker, J.J., 1957. Water Waves: the Mathematical Theory with Applications. Interscience Publishers. Tuck, E.O., 1966. Shallow-water flows past slender bodies. J. Fluid Mech. 26, 81–95. Wu, D.M., Wu, T.Y., 1982. Three-dimensional nonlinear long waves due to moving surface pressure. In: Proceedings of the 14th Symposium on Naval Hydrodynamics, pp. 103–129.
횡단 구조물을 통한 막힘은 안정성을 위협하는 위험한 문제 중 하나입니다. 암거의 막힘 형상 및 하류 세굴 특성에 미치는 영향에 관한 연구는 거의 없습니다.
이 연구의 목적은 수면과 세굴 모두에서 상자 암거를 통한 막힘의 작용을 수치적으로 논의하는 것입니다. 이를 위해 FLOW 3D v11.1.0을 사용하여 퇴적물 수송 모델을 조사했습니다.
상자 암거를 통한 다양한 차단 비율이 연구되었습니다. FLOW 3D 모델은 실험 데이터로 보정되었습니다. 결과는 FLOW 3D 프로그램이 세굴 다운스트림 상자 암거를 정확하게 시뮬레이션할 수 있음을 나타냅니다.
막힌 경우에 대한 속도 분포, 최대 세굴 깊이 및 수심을 플롯하고 비차단된 사례(기본 사례)와 비교했습니다.
그 결과 암거 높이의 70% 차단율은 상류의 수심을 암거 높이의 2.3배 증가시키고 평균 유속은 기본 경우보다 3배 더 증가시키는 것으로 입증되었다. 막힘 비율의 함수로 상대 최대 세굴 깊이를 추정하는 방정식이 만들어졌습니다.
Blockage through crossing structures is one of the dangerous problems that threaten its stability. There are few researches concerned with blockage shape in culverts and its effect on characteristics of scour downstream it.
The study’s purpose is to discuss the action of blockage through box culvert on both water surface and scour numerically. A sediment transport model has been investigated for this purpose using FLOW 3D v11.1.0. Different ratios of blockage through box culvert have been studied. The FLOW 3D model was calibrated with experimental data.
The results present that the FLOW 3D program was capable to simulate accurately the scour downstream box culvert. The velocity distribution, maximum scour depth and water depths for blocked cases have been plotted and compared with the non-blocked case (base case).
The results proved that the blockage ratio 70% of culvert height makes the water depth upstream increases by 2.3 times of culvert height and mean velocity increases by 3 times more than in the base case. An equation has been created to estimate the relative maximum scour depth as a function of blockage ratio.
Local scour is the removal of granular bed material by the action of hydrodynamic forces. As the depth of scour hole increases, the stability of the foundation of the structure may be endangered, with a consequent risk of damage and failure . So the prediction and control of scour is considered to be very important for protecting the water structures from failure. Most previous studies were designed to study the different factors that impact on scour and their relationship with scour hole dimensions like fluid characteristics, flow conditions, bed properties, and culvert geometry. Many previous researches studied the effect of flow rate on scour hole by information Froude number or modified Froude number , , , , . Cesar Mendoza  found a good correlation between the scour depth and the discharge Intensity (Qg−.5D−2.5). Breusers and Raudkiv  used shear velocity in the outlet-scour prediction procedure. Ali and Lim  used the densimetric Froude number in estimation of the scour depth , , , , , , , . “The densimetric Froude number presents the ratio of the tractive force on sediment particle to the submerged specific weight of the sediment” (1)Fd=uρsρ-1gD50
Ali and Lim  pointed to the consequence of tailwater depth on scour behavior , , , . Abida and Townsend  indicated that the maximum depth of local scour downstream culvert was varying with the tailwater depth in three ways: first, for very shallow tailwater depths, local scouring decreases with a decrease in tailwater depth; second, when the ratio of tailwater depth to culvert height ranged between 0.2 and 0.7, the scour depth increases with decreasing tailwater depth; and third for a submerged outlet condition. The tailwater depth has only a marginal effect on the maximum depth of scour . Ruff et al.  observed that for materials having similar mean grain sizes (d50) but different standard deviations (σ). As (σ) increased, the maximum scour hole depth decreased. Abt et al.  mentioned to role of soil type of maximum scour depth. It was noticed that local scour was more dangerous for uniform sands than for well-graded mixtures , , , , , . Abt et al ,  studied the culvert shape effect on scour hole. The results evidenced that the culvert shape has a limited effect on outlet scour. Under equivalent discharge conditions, it was noted that a square culvert with height equal to the diameter of a circular culvert would reduce scour , . The scour hole dimension was also effected by the culvert slope. Abt et al. ,  showed that the culvert slope is a key element in estimating the culvert flow velocity, the discharge capacity, and sediment transport capability. Abt et al. ,  tested experimentally culvert drop height effect on maximum scour depth. It was observed that as the drop height was increasing, the depth of scour was also increasing. From the previous studies, it could have noticed that the most scour prediction formula downstream unblocked culvert was the function of densimetric Froude number, soil properties (d50, σ), tailwater depth and culvert opening size. Blockage is the phenomenon of plugging water structures due to the movement of water flow loaded with sediment and debris. Water structures blockage has a bad effect on water flow where it causes increasing of upstream water level that may cause flooding around the structure and increase of scour rate downstream structures , . The blockage phenomenon through was studied experimentally and numerical , , , , , , , , , . Jaeger and Lucke  studied the debris transport behavior in a natural channel in Australia. Froude number scale model of an existing culvert was used. It was noticed that through rainfall event, the mobility of debris was impressed by stream shape (depth and width). The condition of the vegetation (size and quantities) through the catchment area was the main factor in debris transport. Rigby et al.  reported that steep slope was increasing the ability to mobilize debris that form field data of blocked culverts and bridges during a storm in Wollongong city.
Streftaris et al.  studied the probability of screen blockage by debris at trash screens through a numerical model to relate between the blockage probability and nature of the area around. Recently, many commercial computational fluid programs (CFD) such as SSIIM, Fluent, and FLOW 3D are used in the analysis of the scour process. Scour and sediment transport numerical model need to validate by using experimental data or field data , , , , . Epely-Chauvin et al.  investigated numerically the effect of a series of parallel spur diked. The experimental data were compared by SSIIM and FLOW 3D program. It was found that the accuracy of calibrated FLOW 3D model was better than SSIIM model. Nielsen et al.  used the physical model and FLOW 3D model to analyze the scour process around the pile. The soil around the pile was uniform coarse stones in the physical models that were simulated by regular spheres, porous media, and a mixture of them. The calibrated porous media model can be used to determine the bed shear stress. In partially blocked culverts, there aren’t many studies that explain the blockage impact on scour dimensions. Sorourian et al. ,  studied the effect of inlet partial blockage on scour characteristics downstream box culvert. It resulted that the partial blockage at the culvert inlet could be the main factor in estimating the depth of scour. So, this study is aiming to investigate the effects of blockage through a box culvert on flow and scour characteristics by different blockage ratios and compares the results with a non-blocked case. Create a dimensionless equation relates the blockage ratio of the culvert with scour characteristics downstream culvert.
2. Experimental data
The experimental work of the study was conducted in the Hydraulics and Water Engineering Laboratory, Faculty of Engineering, Zagazig University, Egypt. The flume had a rectangular cross-section of 66 cm width, 65.5 cm depth, and 16.2 m long. A rectangular culvert was built with 0.2 m width, 0.2 m height and 3.00 m long with θ = 25° gradually outlet and 0.8 m fixed apron. The model was located on the mid-point of the channel. The sediment part was extended for a distance 2.20 m with 0.66 m width and 0.20 m depth of coarse sand with specific weight 1.60 kg/cm3, d50 = 2.75 mm and σ (d90/d50) = 1.50. The particle size distribution was as shown in Fig. 1. The experimental model was tested for different inlet flow (Q) of 25, 30, 34, 40 l/s for different submerged ratio (S) of 1.25, 1.50, 1.75.
3. Dimensional analysis
A dimensional analysis has been used to reduce the number of variables which affecting on the scour pattern downstream partial blocked culvert. The main factors affecting the maximum scour depth are:(2)ds=f(b.h.L.hb.lb.Q.ud.hu.hd.D50.ρ.ρs.g.ls.dd.ld)
Fig. 2 shows a definition sketch of the experimental model. The maximum scour depth can be written in a dimensionless form as:(3)dsh=f(B.Fd.S)where the ds/h is the relative maximum scour depth.
4. Numerical work
The FLOW 3D is (CFD) program used by many researchers and appeared high accuracy in solving hydrodynamic and sediment transport models in the three dimensions. Numerical simulation with FLOW 3D was performed to study the impacts of blockage ratio through box culvert on shear stress, velocity distribution and the sediment transport in terms of the hydrodynamic features (water surface, velocity and shear stress) and morphological parameters (scour depth and sizes) conditions in accurately and efficiently. The renormalization group (RNG) turbulence model was selected due to its high ability to predict the velocity profiles and turbulent kinetic energy for the flow through culvert . The one-fluid incompressible mode was used to simulate the water surface. Volume of fluid (VOF) method was employed in FLOW 3D to tracks a liquid interface through arbitrary deformations and apply the correct boundary conditions at the interface .1.
Three-dimensional Reynolds-averaged Navier Stokes (RANS) equation was applied for incompressible viscous fluid motion. The continuity equation is as following:(4)VF∂ρ∂t+∂∂xρuAx+∂∂yρvAy+∂∂zρwAz=RDIF(5)∂u∂t+1VFuAx∂u∂x+vAy∂u∂y+ωAz∂u∂z=-1ρ∂P∂x+Gx+fx(6)∂v∂t+1VFuAx∂v∂x+vAy∂v∂y+ωAz∂v∂z=-1ρ∂P∂y+Gy+fy(7)∂ω∂t+1VFuAx∂ω∂x+vAy∂ω∂y+ωAz∂ω∂z=-1ρ∂P∂z+Gz+fz
ρ is the fluid density,
VF is the volume fraction,
(x,y,z) is the Cartesian coordinates,
(u,v,w) are the velocity components,
(Ax,Ay,Az) are the area fractions and
RDIF is the turbulent diffusion.
P is the average hydrodynamic pressure,
(Gx, Gy, Gz) are the body accelerations and
(fx, fy, fz) are the viscous accelerations.
The motion of sediment transport (suspended, settling, entrainment, bed load) is estimated by predicting the erosion, advection and deposition process as presented in .
The critical shields parameter is (θcr) is defined as the critical shear stress τcr at which sediments begin to move on a flat and horizontal bed :(8)θcr=τcrgd50(ρs-ρ)
The Soulsby–Whitehouse  is used to predict the critical shields parameter as:(9)θcr=0.31+1.2d∗+0.0551-e(-0.02d∗)(10)d∗=d50g(Gs-1ν3where:
d* is the dimensionless grain size
Gs is specific weight (Gs = ρs/ρ)
The entrainment coefficient (0.005) was used to scale the scour rates and fit the experimental data. The settling velocity controls the Soulsby deposition equation. The volumetric sediment transport rate per width of the bed is calculated using Van Rijn .2.
Meshing and geometry of model
After many trials, it was found that the uniform cell size with 0.03 m cell size is the closest to the experimental results and takes less time. As shown in Fig. 3. In x-direction, the total model length in this direction is 700 cm with mesh planes at −100, 0, 300, 380 and 600 cm respectively from the origin point, in y-direction, the total model length in this direction is 66 cm at distances 0, 23, 43 and 66 cm respectively from the origin point. In z-direction, the total model length in this direction is 120 cm. with mesh planes at −20, 0, 20 and 100 cm respectively.3.
As shown in Fig. 4, the boundary conditions of the model have been defined to simulate the experimental flow conditions accurately. The upstream boundary was defined as the volume flow rate with a different flow rate. The downstream boundary was defined as specific pressure with different fluid elevation. Both of the right side, the left side, and the bottom boundary were defined as a wall. The top boundary defined as specified pressure with pressure value equals zero.
5. Validation of experimental results and numerical results
The experimental results investigated the flow and scour characteristics downstream culvert due to different flow conditions. The measured value of maximum scour depth is compared with the simulated depth from FLOW 3D model as shown in Fig. 5. The scour results show that the simulated results from the numerical model is quite close to the experimental results with an average error of 3.6%. The water depths in numerical model results is so close to the experimental results as shown in Fig. 6 where the experiment and numerical results are compared at different submerged ratios and flow rates. The results appear maximum error percentage in water depths upstream and downstream the culvert is about 2.37%. This indicated that the FLOW 3D is efficient for the prediction of maximum scour depth and the flow depths downstream box culvert.
6. Computation time
The run time was chosen according to reaching to the stability limit. Hydraulic stability was achieved after 50 s, where the scour development may still go on. For run 1, the numerical simulation was run for 1000 s as shown in Fig. 7 where it mostly reached to scour stability at 800 s. The simulation time was taken 500 s at about 95% of scour stability.
7. Analysis and discussions
Fig. 8 shows the study sections where sec 1 represents to upstream section, sec2 represents to inside section and sec3 represents to downstream stream section. Table 1 indicates the scour hole dimensions at different blockage case. The symbol (B) represents to blockage and the number points to blockage ratio. B0 case signifies to the non-blocked case, B30 is that blockage height is 30% to the culvert height and so on.
Table 1. The scour results of different blockage ratio.
B = hb/h
7.1. Scour hole geometry
The scour hole geometry mainly depends on the properties of soil of the bed downstream the fixed apron. From Table 1, the results show that the maximum scour depth in B0 case is about 0.58 of culvert height while the maximum deposition in B0 is 0.27 culvert height. There is a symmetric scour hole as shown in Fig. 9 in B0 case. An asymmetric scour hole is created in B50 and B70 due to turbulences that causes the deviation of the jet direction from the center of the flume where appear in Fig. 11 and Fig. 19.
7.2. Flow water surface
Fig. 10 presents the relative free surface water (hw/h) along the x-direction at center of the box culvert. From the mention Figure, it is easy to release the effect of different blockage ratios. The upstream water level rises by increasing the blockage ratio. Increasing upstream water level may cause flooding over the banks of the waterway. In the 70% blockage case, the upstream water level rises to 2.3 times of culvert height more than the non-blocked case at the same discharge and submerged ratio. The water surface profile shows an increase in water level upstream the culvert due to a decrease in transverse velocity. Because of decreasing velocity downstream culvert, there is an increase in water level before it reaches its uniform depth.
7.3. Velocity vectors
Scour downstream hydraulic structures mainly affects by velocities distribution and bed shear stress. Fig. 11 shows the velocity vectors and their magnitude in xz plane at the same flow conditions. The difference in the upstream water level due to the different blockage ratios is so clear. The maximum water level is in B70 and the minimum level is in B0. The inlet mean velocity value is about 0.88 m/s in B0 increases to 2.86 m/s in B70. As the blockage ratio increases, the inlet velocity increases. The outlet velocity in B0 case makes downward jet causes scour hole just after the fixed apron in the middle of the bed while the blockage causes upward water flow that appears clearly in B70. The upward jet decreases the scour depth to 0.13 culvert height less than B0 case. After the scour hole, the velocity decreases and the flow becomes uniform.
7.4. Velocity distribution
Fig. 12 represents flow velocity (Vx) distribution along the vertical depth (z/hu) upstream the inlet for the different blockage ratios at the same flow conditions. From the Figure, the maximum velocity creates closed to bed in B0 while in blocked case, the maximum horizontal velocity creates at 0.30 of relative vertical depth (z/hu). Fig. 13 shows the (Vz) distribution along the vertical depth (z/hu) upstream culvert at sec 1. From the mentioned Figure, it is easy to note that the maximum vertical is in B70 which appears that as the blockage ratio increases the vertical ratio also increases. In the non-blocked case. The vertical velocity (Vz) is maximum at (z/hu) equals 0.64. At the end of the fixed apron (sec 3), the horizontal velocity (Vx) is slowly increasing to reach the maximum value closed to bed in B0 and B30 while the maximum horizontal velocity occurs near to the top surface in B50 and B70 as shown in Fig. 14. The vertical velocity component along the vertical depth (z/hd) is presented in Fig. 15. The vertical velocity (Vz) is maximum in B0 at vertical depth (z/hd) 0.3 with value 0.45 m/s downward. Figs. 16 and 17 observe velocity components (Vx, Vz) along the vertical depth just after the end of blockage length at the centerline of the culvert barrel. It could be noticed the uniform velocity distribution in B0 case with horizontal velocity (Vx) closed to 1.0 m/s and vertical velocity closed to zero. In the blocked case, the maximum horizontal velocity occurs in depth more than the blockage height.
7.5. Bed velocity distribution
Fig. 18 presents the x-velocity vectors at 1.5 cm above the bed for different blockage ratios from the velocity vectors distribution and magnitude, it is easy to realize the position of the scour hole and deposition region. In B0 and B30, the flow is symmetric so that the scour hole is created around the centerline of flow while in B50 and B70 cases, the flow is asymmetric and the scour hole creates in the right of flow direction in B50. The maximum scour depth is found in the left of flow direction in B70 case where the high velocity region is found.
8. Maximum scour depth prediction
Regression analysis is used to estimate maximum scour depth downstream box culvert for different ratios of blockage by correlating the maximum relative scour by other variables that affect on it in one formula. An equation is developed to predict maximum scour depth for blocked and non-blocked. As shown in the equation below, the relative maximum scour depth(ds/hd) is a function of densimetric Froude number (Fd), blockage ratio (B) and submerged ratio (S)(11)dsh=0.56Fd-0.20B+0.45S-1.05
In this equation the coefficient of correlation (R2) is 0.82 with standard error equals 0·08. The developed equation is valid for Fd = [0.9 to 2.10] and submerged ratio (S) ≥ 1.00. Fig. 19 shows the comparison between relative maximum scour depths (ds/h) measured and estimated for different blockage ratios. Fig. 20 clears the comparison between residuals and ds/h estimated for the present study. From these figures, it could be noticed that there is a good agreement between the measured and estimated relative scour depth.
9. Comparison with previous scour equations
Many previous scour formulae have been produced for calculation the maximum scour depth downstream non-blockage culvert. These equations have been included the effect of flow regime, culvert shape, soil properties and the flow rate on maximum scour depth. Two of previous experimental studies data have been chosen to be compared with the present study results in non-blocked study data. Table 2 shows comparison of culvert shape, densmetric Froude number, median particle size and scour equations for these previous studies. By applying the present study data in these studies scour formula as shown in Fig. 21, it could be noticed that there are a good agreement between present formula results and others empirical equations results. Where that Lim  and Abt  are so closed to the present study data.
Table 2. Comparison of some previous scour formula.
The present study has shown that the FLOW 3D model can accurately simulate water surface and the scour hole characteristics downstream the box culvert with error percentage in water depths does not exceed 2.37%. Velocities distribution through and outlets culvert barrel helped on understanding the scour hole shape.
The blockage through culvert had caused of increasing of water surface upstream structure where the upstream water level in B70 was 2.3 of culvert height more than non-blocked case at the same discharge that could be dangerous on the stability of roads above. The depth averaged velocity through culvert barrel increased by 3 times its value in non-blocked case.
On the other hand, blockage through culvert had a limited effect on the maximum scour depth. The little effect of blockage on maximum scour depth could be noticed in Fig. 11. From this Figure, it could be noted that the residual part of culvert barrel after the blockage part had made turbulences. These turbulences caused the deviation of the flow resulting in the formation of asymmetric scour hole on the side of channel. This not only but in B70 the blockage height caused upward jet which made a wide far scour hole as cleared from the results in Table 1.
An empirical equation was developed from the results to estimate the maximum scour depth relative to culvert height function of blockage ratio (B), submerged ratio (S), and densimetric Froude number (Fd). The equation results was compared with some scour formulas at the same densimetric Froude number rang where the present study results was in between the other equations results as shown in Fig. 21.
Declaration of Competing Interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
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Peer review under responsibility of Faculty of Engineering, Alexandria University.
많은 계단식 배수로 지오메트리 설계 지침이 평평한 단계를 위해 개발되었지만 통합 단계를 설계하는 것이 더 효율적으로 작동하는 배수로에 대한 적절한 대안이 될 수 있습니다.
이 논문은 POOL의 다른 높이에서 공기 연행과 보이드 비율의 시작점을 다루는 것을 목표로 합니다. 그 후, FLOW-3D 소프트웨어를 사용하여 POOL과 경사면의 높이를 다르게 하여 폭기된 지역과 폭기되지 않은 지역에서 압력 분포를 평가했습니다.
얻어진 수치 결과와 실험 결과의 비교는 본 연구에 사용된 모든 방류에 대해 잘 일치했습니다. POOL 높이는 시작 지점 위치에 미미한 영향을 미쳤습니다. 공극률의 값은 높은 방류에 비해 낮은 방전에서 더 많은 영향을 받았습니다.
여수로의 마루(통기되지 않은 지역)에서는 음압이 나타나지 않았으며 각 방류에서 마루를 따라 높이가 15cm인 수영장에서 최대 압력 값이 얻어졌습니다.
모든 사면에서 웅덩이 및 평평한 계단형 여수로의 계단층 부근에서는 음압이 형성되지 않았습니다. 그러나 평단식 여수로에 비해 평단식 여수로의 수직면 부근에서 음압이 더 많이 형성되어 평단식 슈트에서 캐비테이션 현상이 발생할 확률이 증가하였습니다.
Study of inception point, void fraction and pressure over pooled stWhile many stepped spillways geometry design guidelines were developed for flat steps, designing pooled steps might be an appropriate alternative to spillways working more efficiency. This paper aims to deal with the inception point of air-entrainment and void fraction in the different height of the pools. Following that, pressure distribution was evaluated in aerated and non-aerated regions under the effect of different heights of the pools and slopes through the use of the FLOW-3D software. Comparison of obtained numerical results with experimental ones was in good agreement for all discharges used in this study. Pools height had the insignificant effect on the inception point location. The value of void fraction was more affected in lower discharges in comparison with higher ones. Negative pressure was not seen over the crest of spillway (non-aerated region), and the maximum pressure values were obtained for pools with 15 cm height along the crest in each discharge. In all slopes, negative pressure was not formed near the step bed in the pooled and flat stepped spillways. However, negative pressure was formed in more area near the vertical face in the flat stepped spillway compared with the pooled stepped spillway which increases the probability of cavitation phenomenon in the flat stepped chute.
압력, 공극률 및 시작점을 평가하기 위해 POOL된 계단식 여수로가 사용되었습니다. 또한 POOL의 다른 높이가 사용되었습니다. 이 연구의 수치 시뮬레이션은 Flow-3D 소프트웨어를 통해 수행되었습니다. 얻어진 결과는 풀이 압력, 공극률 및 시작점을 포함한 2상 유동 특성에 영향을 미칠 수 있음을 나타냅니다.
마루 위에는 음압이 보이지 않았습니다. 압력 값은 사용된 모든 높이와 15cm 높이에서 얻은 최대 값에 대해 다릅니다. 또한, 풀링 스텝은 플랫 케이스에 비해 음압점 감소에 더 효과적인 역할을 하였습니다. 시작 지점 위치는 특히 9 및 15cm 높이에 대해 스키밍 흐름 영역과 비교하여 낮잠 및 전환 흐름 영역에서 더 많은 영향을 받았습니다.
본 연구에서는 자유표면을 모사하기 위해 VOF 방법과 k -ε (RNG) 난류 모델을 활용하여 FLOW-3D 소프트웨어를 사용하였고, 계단식 배수로의 유동을 모사하기 위한 목적으로 난류 특성을 모사하였다. 얻은 결과는 수치 모델이 시작점 위치, 보이드 비율 및 압력을 적절하게 시뮬레이션했음을 나타냅니다. 풀의 높이는 공기 유입 위치에 미미한 영향을 미치므로 얻은 결과는 이 문서에서 제시된 상관 관계와 잘 일치했습니다. 즉, 사용 가능한 상관 관계를 서로 다른 풀 높이에 사용할 수 있습니다. 공극률의 결과는 스텝 풀 근처의 나프 유동 영역에서 공극율 값이 다른 배출보다 더 큰 것으로 나타났다. 더욱이 고방출량 .0 113m3/s에서 수영장 높이를 변경해도 수영장 표면 근처의 공극률 값에는 영향을 미치지 않았습니다.
낮잠 및 전환 체제의 압력 분포에 대한 0 및 3cm 높이의 수영장 효과는 많은 지점에서 대부분 유사했습니다. 더욱이 조사된 모든 높이에서 여수로의 마루를 따라 부압이 없었습니다. 여수로 끝단의 바닥 부근의 압력 결과는 평평하고 고인 경우 부압이 발생하지 않았음을 나타냅니다. 수직면 부근의 음압은 웅덩이에 비해 평평한 계단형 여수로의 깊이(w=0 cm)의 대부분에서 발생하였다. 또한 더 큰 사면에 대한 풀링 케이스에서 음압이 제거되었습니다. 평단식 여수로에서는 계단의 수직면에 인접한 더 넓은 지역에서 음압이 발생하였기 때문에 이 여수로에서는 고형단식여수로보다 캐비테이션 현상이 발생할 가능성이 더 큽니다.
In this study, the FLOW-3D software was used through utilizing the VOF method and k −ε (RNG) turbulence model in order to simulate free surface, and turbulence characteristics for the purpose of simulating flow over pooled stepped spillway. The results obtained indicated that the numerical model properly simulated the inception point location, void fraction, and pressure. The height of the pools has the insignificant effect on the location of air entrainment, so that obtained results were in good agreement with the correlations presented in this paper. In other words, available correlations can be used for different pool heights. The results of void fraction showed that the void fraction values in nappe flow regime near the step pool were more than the other discharges. Furthermore in high discharge, 0.113m3/s, altering pool height had no effect on the value of void fraction near the pool surface.
The effect of the pools with 0 and 3 cm heights over the pressure distribution in nappe and transition regimes was mostly similar in many points. Furthermore, in all examined heights there was no negative pressure along the crest of the spillway. The pressure results near the bed of the step at the end of the spillway indicated that negative pressure did not occur in the flat and pooled cases. Negative pressure near the vertical face occurred in the most part of the depth in the flat stepped spillway (w=0 cm) in comparison with the pooled case. Also, the negative pressure was eliminated in the pooled case for the larger slopes. Since negative pressure occurred in a larger area adjacent the vertical face of the steps in the flat stepped spillways, it is more likely that cavitation phenomenon occurs in this spillway rather than the pooled stepped spillways.
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이 연구는 이러한 구조물의 가장 중요한 설계 매개변수 중 하나인 슈트 여수로의 플립 버킷에서 동적 압력을 조사합니다. 첫째, 압력에 영향을 미치는 무차원 매개변수를 치수해석을 통해 결정하였다.
그 후, 플립 버킷으로 이어지는 슈트 여수로가 있는 선택된 댐의 특성에 따라 플립 버킷으로의 특정 Froude 수 간격과 슈트 경사 각도, 반경 및 플립 버킷 곡률 각도가 분석을 위해 선택되었습니다.
이러한 매개변수의 조합으로 FLOW-3D에서 총 137개 모델을 시뮬레이션하여 플립 버킷의 바닥 압력과 최대 압력 값을 얻었습니다.
다음으로 고려된 무차원 매개변수를 기반으로 다중 회귀 분석을 사용하여 슈트의 플립 버킷 다운스트림에서 바닥 압력과 최대 압력을 결정하기 위한 방정식이 제안되었습니다. 수치 모델링 실행 결과와 다중 회귀 분석을 사용하여 무차원 압력 관계의 미지의 계수를 결정하고 바닥 압력과 최대 압력에 대한 최종 방정식을 제시했습니다.
저압과 최고압을 결정하기 위해 제안된 식의 상관계수와 MAPE(Mean Absolute Percentage Error) 값은 각각 0.94와 0.96, 6.75%와 8.49%였습니다.
이 값은 제안된 방정식의 적절한 정확도를 나타냅니다. 제안된 방정식에서 Froude 수, 상대 곡률, 슈트 경사각, 이륙 각도 및 플립 버킷의 곡률 각도가 각각 저면 압력과 최대 압력에 가장 큰 영향을 미쳤습니다.
This study investigates the dynamic pressure at the flip buckets of chute spillways, which is one of the most important design parameters of these structures. First, the dimensionless parameters affecting pressure were determined by dimensional analysis. Following that, according to the characteristics of selected dams with chute spillways leading to flip buckets, certain Froude number intervals of inflow to the flip bucket, as well as the chute slope angle, radius, and flip bucket curvature angle were selected for analysis. The combination of these parameters resulted in a total of 137 models simulated in FLOW-3D to obtain bottom pressure and maximum pressure values in the flip bucket. Next, based on the dimensionless parameters considered, equations were proposed to determine the bottom pressure and maximum pressure in the flip bucket downstream of the chute, using multiple regression analysis. Using the numerical modeling run results, along with multiple regression analyses, the unknown coefficients of the dimensionless pressure relationship were determined, and final equations for the bottom pressure and maximum pressure were presented. The correlation coefficient and Mean Absolute Percentage Error (MAPE) values of the proposed equations for determining the bottom pressure and maximum pressure were 0.94 and 0.96, and, 6.75% and 8.49%, respectively. These values indicate the appropriate accuracy of the proposed equations. In the proposed equations, the Froude number, relative curvature, chute slope angle, takeoff angle, and flip bucket’s curvature angle, respectively, had the highest impacts on the bottom pressure and maximum pressure.
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This manual was developed with the purpose of presenting and executing basic numerical models in the software known as Flow 3D within the virtual laboratories of Fluid Mechanics and Applied Hydraulics, to complement and reinforce what was learned in class, the development of the manual covers a theoretical content and an exemplified práctical part for the handling of the software, besides including some feedback for the students, in order to mark the characteristics that the software has. With the handling of the Flow 3D program, the student will be introduced to the concept of Computational Fluid Dynamics or CFD, and a simple procedure to represent numerically and graphically the behavior of hydraulic structures. The hydraulic structures presented in the laboratory manual are: thin and thick wall orifices, gates with free and submerged discharge, thin and thick wall spillways with free and submerged discharge, WES type spillway, submerged intake with pressure conduction and as a complement, hydrostatic pressures on vertical, curved and inclined walls were added. Each of the mentioned hydraulic structures obtained a práctical verification as a verification within the Flow 3D software, presenting a consistency in the results obtained in both ways.
이 매뉴얼은 Fluid Mechanics 및 Applied Hydraulics의 가상 연구실 내에서 Flow 3D로 알려진 소프트웨어에서 기본 수치 모델을 제시하고 실행하기 위해 개발되었으며, 수업에서 배운 내용을 보완하고 강화하기 위해 개발되었으며, 매뉴얼 개발은 이론적인 내용을 다룹니다. 소프트웨어의 특성을 표시하기 위해 학생들을 위한 일부 피드백을 포함하는 것 외에도 소프트웨어 처리에 대한 내용 및 예시된 실제적인 부분. Flow 3D 프로그램을 다루면서 학생은 전산유체역학(Computational Fluid Dynamics) 또는 CFD의 개념과 수력학적 구조의 거동을 수치 및 그래픽으로 표현하는 간단한 절차를 소개합니다. 실험실 매뉴얼에 제시된 유압 구조는 얇고 두꺼운 벽 오리피스, 자유 및 수중 배출이 있는 수문, 자유 및 수중 배출이 있는 얇고 두꺼운 벽 여수로, WES 유형 방수로, 압력 전도 및 보완으로 수중 유입이 있는 수중 흡입구입니다. 수직, 곡선 및 경사 벽에 추가되었습니다. 언급된 각 수력학적 구조는 Flow 3D 소프트웨어 내에서 검증으로 실제 검증을 획득하여 두 가지 방식에서 얻은 결과의 일관성을 나타냅니다.
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CFD Simulations of Tubular Archimedean Screw Turbines Harnessing the Small Hydropotential of Greek Watercourses
Alkistis Stergiopoulou1 , Vassilios Stergiopoulos2 1 Institut für Wasserwirtschaft, Hydrologie und Konstruktiven Wasserbau, B.O.K.U. University, Muthgasse 18, 1190 Vienna, (actually Senior Process Engineer at the VTU Engineering in Vienna, Zieglergasse 53/1/24, 1070 Vienna, Austria). 2 School of Pedagogical and Technological Education, Department of Civil Engineering Educators, ASPETE Campus, Eirini Station, 15122 Amarousio, Athens, Greece.
이 논문은 “그리스 아르키메데스의 부활: 아르키메데스 달팽이관 물레방아의 수리역학 및 유체역학적 거동 연구, 그리스 자연 및 기술 수로의 수력 잠재력 회복에 대한 기여”. 라는 제목의 최근 연구에서 수행한 최초의 아르키메데스 나사 터빈 CFD 모델링 결과에 대한 간략한 견해를 제시합니다.
FLOW-3D 코드를 기반으로 하는 이 CFD 분석은 일반적인 TAST(Tubular Archimedean Screw Turbines)에 관한 것으로, 그리스의 자연 및 기술 수로의 중요한 미개척 수력 잠재력을 활용하는 소규모 수력 발전 시스템에 대한 TWh/년 및 수천 MW 범위의 총 설치 용량등 몇 가지 유망한 성능을 보여줍니다.
This paper presents a short view of the first Archimedean Screw Turbines CFD modelling results, which were carried out within the recent research entitled “Rebirth of Archimedes in Greece: contribution to the study of hydraulic mechanics and hydrodynamic behavior of Archimedean cochlear waterwheels, for recovering the hydraulic potential of Greek natural and technical watercourses”. This CFD analysis, based to the Flow-3D code, concerns typical Tubular Archimedean Screw Turbines (TASTs) and shows some promising performances for such small hydropower systems harnessing the important unexploited hydraulic potential of natural and technical watercourses of Greece, of the order of several TWh / year and of a total installed capacity in the range of thousands MWs.
CFD; Flow-3D; TAST; Small Hydro; Renewable Energy; Greek Watercourses.
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Study on the effect of morphological changes of bridge piers on water movement properties
Xianqi Zhanga,b,c, Tao Wanga,* and Bingsen Duana a Water Conservancy College, North china University of Water Resources and Electric Power, Zhengzhou 450046, China b Collaborative Innovation Center of Water Resources Efficient Utilization and Protection Engineering, Zhengzhou 450046, China c Technology Research Center of Water Conservancy and Marine Tra
하천을 가로지르는 교각의 다른 형태는 하천의 유동에 큰 영향을 미치며, 교각의 형태 변화가 물의 유동 특성에 미치는 영향에 대한 연구는 교량 설계 및 하천 범람에 큰 가치가 있습니다.
유체 역학 모델은 하천 흐름 패턴의 변화를 효과적으로 시뮬레이션하고 예측할 수 있으므로 하천 관리에 대한 과학적 데이터 지원을 제공할 수 있습니다.
본 논문은 Mike21을 기반으로 유체역학 모델을 구축하고 이를 황하 하류의 하천 유체역학 수치해석에 적용하고, 타원 교각을 예로 들어 교각 형태 변화가 유속에 미치는 영향을 모사한다. 강의 수위와 흐름장. 결과는 하천의 흐름 특성에 대한 타원형 교각 형태의 영향이 중요하다는 것을 보여줍니다.
동일한 유량에서 최대 축 비율에서 교각의 혼잡 값은 최소 축 비율의 1.65배이며 축 비율이 클수록 혼잡이 심각합니다. 최대 축 비율에서 유속의 차이는 최소 축 비율의 2.33배에 달할 수 있습니다.
The different shapes of bridge piers across rivers have a great influence on the river water movement, and the study of the influence of pier morphology changes on the water movement characteristics is of great value for bridge design and river flooding. The hydrodynamic model can effectively simulate and predict the changes of river flow patterns, which can provide scientific data support for river management. This paper constructs a hydrodynamic model based on Mike21 and applies it to the numerical simulation of river hydrodynamics in the lower reaches of the Yellow River, taking elliptical piers as an example, and simulates the effect of the change of pier morphology on the flow velocity, water level and flow field of the river. The results show that the effect of elliptical pier morphology on the flow characteristics of the river channel is significant; under the same flow rate, the congestion value of the pier at the maximum axis ratio is 1.65 times of the minimum axis ratio, and the larger the axis ratio, the more serious the congestion; the difference in flow velocity at the maximum axis ratio can reach 2.33 times of the minimum axis ratio.
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Ruigeng Hu 1 , Hongjun Liu 2 , Hao Leng 1 , Peng Yu 3 and Xiuhai Wang 1,2,*
1 College of Environmental Science and Engineering, Ocean University of China, Qingdao 266000, China; email@example.com (R.H.); firstname.lastname@example.org (H.L.) 2 Key Lab of Marine Environment and Ecology (Ocean University of China), Ministry of Education, Qingdao 266000, China; email@example.com 3 Qingdao Geo-Engineering Survering Institute, Qingdao 266100, China; firstname.lastname@example.org
무작위 파동 하에서 우산 흡입 앵커 기초(USAF) 주변의 국부 세굴을 연구하기 위해 일련의 수치 시뮬레이션이 수행되었습니다. 본 연구에서는 먼저 본 모델의 정확성을 검증하기 위해 검증을 수행하였다.
또한, 세굴 진화와 세굴 메커니즘을 각각 분석하였다. 또한 USAF 주변의 평형 세굴 깊이 Seq를 예측하기 위해 두 가지 수정된 모델이 제안되었습니다. 마지막으로 Seq에 대한 Froude 수 Fr과 Euler 수 Eu의 영향을 연구하기 위해 매개변수 연구가 수행되었습니다.
결과는 현재 수치 모델이 무작위 파동에서 세굴 형태를 묘사하는 데 정확하고 합리적임을 나타냅니다.
수정된 Raaijmaker의 모델은 KCs,p < 8일 때 본 연구의 시뮬레이션 결과와 잘 일치함을 보여줍니다. 수정된 확률적 모델의 예측 결과는 KCrms,a < 4일 때 n = 10일 때 가장 유리합니다. Fr과 Eu가 높을수록 둘 다 더 집중적 인 말굽 소용돌이와 더 큰 결과를 초래합니다.
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WU Jingxia1 , ZHANG Chunjin2,3 (1. Xi’an Water Conservancy Survey Design Institute, Xi’an 710054, Shaanxi, China; 2. Key Laboratory of Yellow River Sediment Research, M. W. R. , Yellow River Institute of Hydraulic Research, Zhengzhou 450003, Henan, China; 3. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, Jiangsu, China)
수치 시뮬레이션을 통해 오지 여수로 터널의 수리적 특성 연구의 타당성을 탐색하기 위해 황하 Xiaolangdi 수질 관리 프로젝트의 2번 오지 여수로 터널을 연구 대상으로 취한 다음 오지의 수리 특성 설계 및 점검 홍수 수준 조건에서 여수로 터널은 RNG k-ε 난류 모델을 사용하여 배출 용량, 터널 크라운 잔류 공간, 단면 유속, 압전 수두, 유동 캐비테이션 수, 제트 흐름 범위 및 1 ∶ 40의 일반 수리 모델과 결합된 세굴 구덩이 깊이, 시뮬레이션 값과 실험 값 모두 비교됩니다.
연구결과 모의실험값이 실험값과 일치하여 오지 여수로터널의 수리적 특성을 수치모사를 통해 탐색할 수 있음을 확인하였다. 여수로터널 내부의 흐름은 안정적이고 터널 크라운 잔류 공간은 개방 흐름과 완전 흐름의 교대 흐름 패턴이 없는 25% 이상입니다.
체크 홍수 수위에서 시뮬레이션 값과 유량 계수의 실험 값은 모두 설계에서보다 높으므로 배출 용량은 홍수 제어 관련 설계 요구 사항을 충족할 수 있습니다. 오지 단면과 플립 단면의 유동 캐비테이션 수는 캐비테이션 손상이 발생할 가능성이 작기 때문에 캐비테이션 침식을 줄이기 위한 적절한 적절한 조치가 채택될 필요가 있습니다.
유압 모델의 고르지 않은 표면에 부압이 발생하면 표면 구조에 관련주의를 기울일 필요가 있습니다. 연구 결과는 여수로 터널의 설계 및 건설에 대한 관련 참고 및 이론적 근거를 제공할 수 있습니다.
Xiaolangdi Water Control Project; ogee spillway tunnel; simulative calculation; hydraulic characteristics; turbulent model
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Mahdi Feizbahr,1 Navid Tonekaboni,2Guang-Jun Jiang,3,4 and Hong-Xia Chen3,4Show moreAcademic Editor: Mohammad YazdiReceived08 Apr 2021Revised18 Jun 2021Accepted17 Jul 2021Published11 Aug 2021
Vegetation along the river increases the roughness and reduces the average flow velocity, reduces flow energy, and changes the flow velocity profile in the cross section of the river. Many canals and rivers in nature are covered with vegetation during the floods. Canal’s roughness is strongly affected by plants and therefore it has a great effect on flow resistance during flood. Roughness resistance against the flow due to the plants depends on the flow conditions and plant, so the model should simulate the current velocity by considering the effects of velocity, depth of flow, and type of vegetation along the canal. Total of 48 models have been simulated to investigate the effect of roughness in the canal. The results indicated that, by enhancing the velocity, the effect of vegetation in decreasing the bed velocity is negligible, while when the current has lower speed, the effect of vegetation on decreasing the bed velocity is obviously considerable.
강의 식생은 거칠기를 증가시키고 평균 유속을 감소시키며, 유속 에너지를 감소시키고 강의 단면에서 유속 프로파일을 변경합니다. 자연의 많은 운하와 강은 홍수 동안 초목으로 덮여 있습니다. 운하의 조도는 식물의 영향을 많이 받으므로 홍수시 유동저항에 큰 영향을 미칩니다. 식물로 인한 흐름에 대한 거칠기 저항은 흐름 조건 및 식물에 따라 다르므로 모델은 유속, 흐름 깊이 및 운하를 따라 식생 유형의 영향을 고려하여 현재 속도를 시뮬레이션해야 합니다. 근관의 거칠기의 영향을 조사하기 위해 총 48개의 모델이 시뮬레이션되었습니다. 결과는 유속을 높임으로써 유속을 감소시키는 식생의 영향은 무시할 수 있는 반면, 해류가 더 낮은 유속일 때 유속을 감소시키는 식생의 영향은 분명히 상당함을 나타냈다.
Considering the impact of each variable is a very popular field within the analytical and statistical methods and intelligent systems [1–14]. This can help research for better modeling considering the relation of variables or interaction of them toward reaching a better condition for the objective function in control and engineering [15–27]. Consequently, it is necessary to study the effects of the passive factors on the active domain [28–36]. Because of the effect of vegetation on reducing the discharge capacity of rivers , pruning plants was necessary to improve the condition of rivers. One of the important effects of vegetation in river protection is the action of roots, which cause soil consolidation and soil structure improvement and, by enhancing the shear strength of soil, increase the resistance of canal walls against the erosive force of water. The outer limbs of the plant increase the roughness of the canal walls and reduce the flow velocity and deplete the flow energy in vicinity of the walls. Vegetation by reducing the shear stress of the canal bed reduces flood discharge and sedimentation in the intervals between vegetation and increases the stability of the walls [38–41].
One of the main factors influencing the speed, depth, and extent of flood in this method is Manning’s roughness coefficient. On the other hand, soil cover , especially vegetation, is one of the most determining factors in Manning’s roughness coefficient. Therefore, it is expected that those seasonal changes in the vegetation of the region will play an important role in the calculated value of Manning’s roughness coefficient and ultimately in predicting the flood wave behavior [43–45]. The roughness caused by plants’ resistance to flood current depends on the flow and plant conditions. Flow conditions include depth and velocity of the plant, and plant conditions include plant type, hardness or flexibility, dimensions, density, and shape of the plant . In general, the issue discussed in this research is the optimization of flood-induced flow in canals by considering the effect of vegetation-induced roughness. Therefore, the effect of plants on the roughness coefficient and canal transmission coefficient and in consequence the flow depth should be evaluated [47, 48].
Current resistance is generally known by its roughness coefficient. The equation that is mainly used in this field is Manning equation. The ratio of shear velocity to average current velocity is another form of current resistance. The reason for using the ratio is that it is dimensionless and has a strong theoretical basis. The reason for using Manning roughness coefficient is its pervasiveness. According to Freeman et al. , the Manning roughness coefficient for plants was calculated according to the Kouwen and Unny  method for incremental resistance. This method involves increasing the roughness for various surface and plant irregularities. Manning’s roughness coefficient has all the factors affecting the resistance of the canal. Therefore, the appropriate way to more accurately estimate this coefficient is to know the factors affecting this coefficient .
To calculate the flow rate, velocity, and depth of flow in canals as well as flood and sediment estimation, it is important to evaluate the flow resistance. To determine the flow resistance in open ducts, Manning, Chézy, and Darcy–Weisbach relations are used . In these relations, there are parameters such as Manning’s roughness coefficient (n), Chézy roughness coefficient (C), and Darcy–Weisbach coefficient (f). All three of these coefficients are a kind of flow resistance coefficient that is widely used in the equations governing flow in rivers .
The three relations that express the relationship between the average flow velocity (V) and the resistance and geometric and hydraulic coefficients of the canal are as follows:where n, f, and c are Manning, Darcy–Weisbach, and Chézy coefficients, respectively. V = average flow velocity, R = hydraulic radius, Sf = slope of energy line, which in uniform flow is equal to the slope of the canal bed, = gravitational acceleration, and Kn is a coefficient whose value is equal to 1 in the SI system and 1.486 in the English system. The coefficients of resistance in equations (1) to (3) are related as follows:
Based on the boundary layer theory, the flow resistance for rough substrates is determined from the following general relation:where f = Darcy–Weisbach coefficient of friction, y = flow depth, Ks = bed roughness size, and A = constant coefficient.
On the other hand, the relationship between the Darcy–Weisbach coefficient of friction and the shear velocity of the flow is as follows:
By using equation (6), equation (5) is converted as follows:
Investigation on the effect of vegetation arrangement on shear velocity of flow in laboratory conditions showed that, with increasing the shear Reynolds number (), the numerical value of the ratio also increases; in other words the amount of roughness coefficient increases with a slight difference in the cases without vegetation, checkered arrangement, and cross arrangement, respectively .
Roughness in river vegetation is simulated in mathematical models with a variable floor slope flume by different densities and discharges. The vegetation considered submerged in the bed of the flume. Results showed that, with increasing vegetation density, canal roughness and flow shear speed increase and with increasing flow rate and depth, Manning’s roughness coefficient decreases. Factors affecting the roughness caused by vegetation include the effect of plant density and arrangement on flow resistance, the effect of flow velocity on flow resistance, and the effect of depth [45, 55].
One of the works that has been done on the effect of vegetation on the roughness coefficient is Darby  study, which investigates a flood wave model that considers all the effects of vegetation on the roughness coefficient. There are currently two methods for estimating vegetation roughness. One method is to add the thrust force effect to Manning’s equation [47, 57, 58] and the other method is to increase the canal bed roughness (Manning-Strickler coefficient) [45, 59–61]. These two methods provide acceptable results in models designed to simulate floodplain flow. Wang et al.  simulate the floodplain with submerged vegetation using these two methods and to increase the accuracy of the results, they suggested using the effective height of the plant under running water instead of using the actual height of the plant. Freeman et al.  provided equations for determining the coefficient of vegetation roughness under different conditions. Lee et al.  proposed a method for calculating the Manning coefficient using the flow velocity ratio at different depths. Much research has been done on the Manning roughness coefficient in rivers, and researchers [49, 63–66] sought to obtain a specific number for n to use in river engineering. However, since the depth and geometric conditions of rivers are completely variable in different places, the values of Manning roughness coefficient have changed subsequently, and it has not been possible to choose a fixed number. In river engineering software, the Manning roughness coefficient is determined only for specific and constant conditions or normal flow. Lee et al.  stated that seasonal conditions, density, and type of vegetation should also be considered. Hydraulic roughness and Manning roughness coefficient n of the plant were obtained by estimating the total Manning roughness coefficient from the matching of the measured water surface curve and water surface height. The following equation is used for the flow surface curve:where is the depth of water change, S0 is the slope of the canal floor, Sf is the slope of the energy line, and Fr is the Froude number which is obtained from the following equation:where D is the characteristic length of the canal. Flood flow velocity is one of the important parameters of flood waves, which is very important in calculating the water level profile and energy consumption. In the cases where there are many limitations for researchers due to the wide range of experimental dimensions and the variety of design parameters, the use of numerical methods that are able to estimate the rest of the unknown results with acceptable accuracy is economically justified.
FLOW-3D software uses Finite Difference Method (FDM) for numerical solution of two-dimensional and three-dimensional flow. This software is dedicated to computational fluid dynamics (CFD) and is provided by Flow Science . The flow is divided into networks with tubular cells. For each cell there are values of dependent variables and all variables are calculated in the center of the cell, except for the velocity, which is calculated at the center of the cell. In this software, two numerical techniques have been used for geometric simulation, FAVOR™ (Fractional-Area-Volume-Obstacle-Representation) and the VOF (Volume-of-Fluid) method. The equations used at this model for this research include the principle of mass survival and the magnitude of motion as follows. The fluid motion equations in three dimensions, including the Navier–Stokes equations with some additional terms, are as follows:where are mass accelerations in the directions x, y, z and are viscosity accelerations in the directions x, y, z and are obtained from the following equations:
Shear stresses in equation (11) are obtained from the following equations:
The standard model is used for high Reynolds currents, but in this model, RNG theory allows the analytical differential formula to be used for the effective viscosity that occurs at low Reynolds numbers. Therefore, the RNG model can be used for low and high Reynolds currents.
Weather changes are high and this affects many factors continuously. The presence of vegetation in any area reduces the velocity of surface flows and prevents soil erosion, so vegetation will have a significant impact on reducing destructive floods. One of the methods of erosion protection in floodplain watersheds is the use of biological methods. The presence of vegetation in watersheds reduces the flow rate during floods and prevents soil erosion. The external organs of plants increase the roughness and decrease the velocity of water flow and thus reduce its shear stress energy. One of the important factors with which the hydraulic resistance of plants is expressed is the roughness coefficient. Measuring the roughness coefficient of plants and investigating their effect on reducing velocity and shear stress of flow is of special importance.
Roughness coefficients in canals are affected by two main factors, namely, flow conditions and vegetation characteristics . So far, much research has been done on the effect of the roughness factor created by vegetation, but the issue of plant density has received less attention. For this purpose, this study was conducted to investigate the effect of vegetation density on flow velocity changes.
In a study conducted using a software model on three density modes in the submerged state effect on flow velocity changes in 48 different modes was investigated (Table 1).Table 1The studied models.
The number of cells used in this simulation is equal to 1955888 cells. The boundary conditions were introduced to the model as a constant speed and depth (Figure 1). At the output boundary, due to the presence of supercritical current, no parameter for the current is considered. Absolute roughness for floors and walls was introduced to the model (Figure 1). In this case, the flow was assumed to be nonviscous and air entry into the flow was not considered. After seconds, this model reached a convergence accuracy of .
Figure 1The simulated model and its boundary conditions.
Due to the fact that it is not possible to model the vegetation in FLOW-3D software, in this research, the vegetation of small soft plants was studied so that Manning’s coefficients can be entered into the canal bed in the form of roughness coefficients obtained from the studies of Chow  in similar conditions. In practice, in such modeling, the effect of plant height is eliminated due to the small height of herbaceous plants, and modeling can provide relatively acceptable results in these conditions.
48 models with input velocities proportional to the height of the regular semihexagonal canal were considered to create supercritical conditions. Manning coefficients were applied based on Chow  studies in order to control the canal bed. Speed profiles were drawn and discussed.
Any control and simulation system has some inputs that we should determine to test any technology [70–77]. Determination and true implementation of such parameters is one of the key steps of any simulation [23, 78–81] and computing procedure [82–86]. The input current is created by applying the flow rate through the VFR (Volume Flow Rate) option and the output flow is considered Output and for other borders the Symmetry option is considered.
Simulation of the models and checking their action and responses and observing how a process behaves is one of the accepted methods in engineering and science [87, 88]. For verification of FLOW-3D software, the results of computer simulations are compared with laboratory measurements and according to the values of computational error, convergence error, and the time required for convergence, the most appropriate option for real-time simulation is selected (Figures 2 and 3 ).
Figure 2Modeling the plant with cylindrical tubes at the bottom of the canal.
Figure 3Velocity profiles in positions 2 and 5.
The canal is 7 meters long, 0.5 meters wide, and 0.8 meters deep. This test was used to validate the application of the software to predict the flow rate parameters. In this experiment, instead of using the plant, cylindrical pipes were used in the bottom of the canal.
The conditions of this modeling are similar to the laboratory conditions and the boundary conditions used in the laboratory were used for numerical modeling. The critical flow enters the simulation model from the upstream boundary, so in the upstream boundary conditions, critical velocity and depth are considered. The flow at the downstream boundary is supercritical, so no parameters are applied to the downstream boundary.
The software well predicts the process of changing the speed profile in the open canal along with the considered obstacles. The error in the calculated speed values can be due to the complexity of the flow and the interaction of the turbulence caused by the roughness of the floor with the turbulence caused by the three-dimensional cycles in the hydraulic jump. As a result, the software is able to predict the speed distribution in open canals.
2. Modeling Results
After analyzing the models, the results were shown in graphs (Figures 4–14 ). The total number of experiments in this study was 48 due to the limitations of modeling. (a) (b) (c) (d) (a) (b) (c) (d)Figure 4Flow velocity profiles for canals with a depth of 1 m and flow velocities of 3–3.3 m/s. Canal with a depth of 1 meter and a flow velocity of (a) 3 meters per second, (b) 3.1 meters per second, (c) 3.2 meters per second, and (d) 3.3 meters per second.
Figure 5Canal diagram with a depth of 1 meter and a flow rate of 3 meters per second.
Figure 6Canal diagram with a depth of 1 meter and a flow rate of 3.1 meters per second.
Figure 7Canal diagram with a depth of 1 meter and a flow rate of 3.2 meters per second.
Figure 8Canal diagram with a depth of 1 meter and a flow rate of 3.3 meters per second. (a) (b) (c) (d) (a) (b) (c) (d)Figure 9Flow velocity profiles for canals with a depth of 2 m and flow velocities of 4–4.3 m/s. Canal with a depth of 2 meters and a flow rate of (a) 4 meters per second, (b) 4.1 meters per second, (c) 4.2 meters per second, and (d) 4.3 meters per second.
Figure 10Canal diagram with a depth of 2 meters and a flow rate of 4 meters per second.
Figure 11Canal diagram with a depth of 2 meters and a flow rate of 4.1 meters per second.
Figure 12Canal diagram with a depth of 2 meters and a flow rate of 4.2 meters per second.
Figure 13Canal diagram with a depth of 2 meters and a flow rate of 4.3 meters per second. (a) (b) (c) (d) (a) (b) (c) (d)Figure 14Flow velocity profiles for canals with a depth of 3 m and flow velocities of 5–5.3 m/s. Canal with a depth of 2 meters and a flow rate of (a) 4 meters per second, (b) 4.1 meters per second, (c) 4.2 meters per second, and (d) 4.3 meters per second.
To investigate the effects of roughness with flow velocity, the trend of flow velocity changes at different depths and with supercritical flow to a Froude number proportional to the depth of the section has been obtained.
According to the velocity profiles of Figure 5, it can be seen that, with the increasing of Manning’s coefficient, the canal bed speed decreases.
According to Figures 5 to 8, it can be found that, with increasing the Manning’s coefficient, the canal bed speed decreases. But this deceleration is more noticeable than the deceleration of the models 1 to 12, which can be justified by increasing the speed and of course increasing the Froude number.
According to Figure 10, we see that, with increasing Manning’s coefficient, the canal bed speed decreases.
According to Figure 11, we see that, with increasing Manning’s coefficient, the canal bed speed decreases. But this deceleration is more noticeable than the deceleration of Figures 5–10, which can be justified by increasing the speed and, of course, increasing the Froude number.
With increasing Manning’s coefficient, the canal bed speed decreases (Figure 12). But this deceleration is more noticeable than the deceleration of the higher models (Figures 5–8 and 10, 11), which can be justified by increasing the speed and, of course, increasing the Froude number.
According to Figure 13, with increasing Manning’s coefficient, the canal bed speed decreases. But this deceleration is more noticeable than the deceleration of Figures 5 to 12, which can be justified by increasing the speed and, of course, increasing the Froude number.
According to Figure 15, with increasing Manning’s coefficient, the canal bed speed decreases.
Figure 15Canal diagram with a depth of 3 meters and a flow rate of 5 meters per second.
According to Figure 16, with increasing Manning’s coefficient, the canal bed speed decreases. But this deceleration is more noticeable than the deceleration of the higher model, which can be justified by increasing the speed and, of course, increasing the Froude number.
Figure 16Canal diagram with a depth of 3 meters and a flow rate of 5.1 meters per second.
According to Figure 17, it is clear that, with increasing Manning’s coefficient, the canal bed speed decreases. But this deceleration is more noticeable than the deceleration of the higher models, which can be justified by increasing the speed and, of course, increasing the Froude number.
Figure 17Canal diagram with a depth of 3 meters and a flow rate of 5.2 meters per second.
According to Figure 18, with increasing Manning’s coefficient, the canal bed speed decreases. But this deceleration is more noticeable than the deceleration of the higher models, which can be justified by increasing the speed and, of course, increasing the Froude number.
Figure 18Canal diagram with a depth of 3 meters and a flow rate of 5.3 meters per second.
According to Figure 19, it can be seen that the vegetation placed in front of the flow input velocity has negligible effect on the reduction of velocity, which of course can be justified due to the flexibility of the vegetation. The only unusual thing is the unexpected decrease in floor speed of 3 m/s compared to higher speeds. (a) (b) (c) (a) (b) (c)Figure 19Comparison of velocity profiles with the same plant densities (depth 1 m). Comparison of velocity profiles with (a) plant densities of 25%, depth 1 m; (b) plant densities of 50%, depth 1 m; and (c) plant densities of 75%, depth 1 m.
According to Figure 20, by increasing the speed of vegetation, the effect of vegetation on reducing the flow rate becomes more noticeable. And the role of input current does not have much effect in reducing speed. (a) (b) (c) (a) (b) (c)Figure 20Comparison of velocity profiles with the same plant densities (depth 2 m). Comparison of velocity profiles with (a) plant densities of 25%, depth 2 m; (b) plant densities of 50%, depth 2 m; and (c) plant densities of 75%, depth 2 m.
According to Figure 21, it can be seen that, with increasing speed, the effect of vegetation on reducing the bed flow rate becomes more noticeable and the role of the input current does not have much effect. In general, it can be seen that, by increasing the speed of the input current, the slope of the profiles increases from the bed to the water surface and due to the fact that, in software, the roughness coefficient applies to the channel floor only in the boundary conditions, this can be perfectly justified. Of course, it can be noted that, due to the flexible conditions of the vegetation of the bed, this modeling can show acceptable results for such grasses in the canal floor. In the next directions, we may try application of swarm-based optimization methods for modeling and finding the most effective factors in this research [2, 7, 8, 15, 18, 89–94]. In future, we can also apply the simulation logic and software of this research for other domains such as power engineering [95–99]. (a) (b) (c) (a) (b) (c)Figure 21Comparison of velocity profiles with the same plant densities (depth 3 m). Comparison of velocity profiles with (a) plant densities of 25%, depth 3 m; (b) plant densities of 50%, depth 3 m; and (c) plant densities of 75%, depth 3 m.
The effects of vegetation on the flood canal were investigated by numerical modeling with FLOW-3D software. After analyzing the results, the following conclusions were reached:(i)Increasing the density of vegetation reduces the velocity of the canal floor but has no effect on the velocity of the canal surface.(ii)Increasing the Froude number is directly related to increasing the speed of the canal floor.(iii)In the canal with a depth of one meter, a sudden increase in speed can be observed from the lowest speed and higher speed, which is justified by the sudden increase in Froude number.(iv)As the inlet flow rate increases, the slope of the profiles from the bed to the water surface increases.(v)By reducing the Froude number, the effect of vegetation on reducing the flow bed rate becomes more noticeable. And the input velocity in reducing the velocity of the canal floor does not have much effect.(vi)At a flow rate between 3 and 3.3 meters per second due to the shallow depth of the canal and the higher landing number a more critical area is observed in which the flow bed velocity in this area is between 2.86 and 3.1 m/s.(vii)Due to the critical flow velocity and the slight effect of the roughness of the horseshoe vortex floor, it is not visible and is only partially observed in models 1-2-3 and 21.(viii)As the flow rate increases, the effect of vegetation on the rate of bed reduction decreases.(ix)In conditions where less current intensity is passing, vegetation has a greater effect on reducing current intensity and energy consumption increases.(x)In the case of using the flow rate of 0.8 cubic meters per second, the velocity distribution and flow regime show about 20% more energy consumption than in the case of using the flow rate of 1.3 cubic meters per second.
Manning’s roughness coefficient
Chézy roughness coefficient
Depth of water change
Slope of the canal floor
Slope of energy line
Characteristic length of the canal
All data are included within the paper.
Conflicts of Interest
The authors declare that they have no conflicts of interest.
This work was partially supported by the National Natural Science Foundation of China under Contract no. 71761030 and Natural Science Foundation of Inner Mongolia under Contract no. 2019LH07003.
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