Study of Hydraulic Characteristics of Circular Vertical Spillway Using Numerical Model

Document Type : Research Article


1 Civil Engineering Department, Islamic Azad University- Sirjan Branch

2 Water engineering Dep, Shahid Bahonar University, Kerman, Iran



Circular vertical Spillway with various inlet forms is very effective, when there is not enough space for the other spillway. Hydraulic flow in vertical circular spillway is divided into three groups: free, orifice and under pressure (submerged). In this research, hydraulic characteristics are investigated in vertical circular spillway by using numerical model. Hydraulic characteristics are investigated such as upper and lower nappe profiles, relation between discharge and upstream water levels, and discharge coefficient in numerical modeling and experimental conditions. The mesh with 10602 nodes, turbulent model k- standard and the standard wall function, provide the best results for modeling the flow in a vertical circular Spillway. There was a good agreement between numerical and experimental results in the upper and lower nappe profiles. In study of water level over crest and discharge, in low water levels, the results of numerical modeling are good agreement with experimental, but with increasing water level, the difference between the numerical and experimental discharge to be more. In the study of the flow coefficient, by decreasing in P/R ratio the difference between the numerical and experimental result increases.


جوان، م.، صادق فام، س. و اقبال‌زاده، ا. (1392)."مقایسه روش‌های اختلاطی و حجم سیال برای شبیه‌سازی عددی اختلاط آب و هوا در جریان غیرریزشی روی سرریزهای پلکانی". نشریه پژوهش‌های حفاظت آب و خاک، دوره 20، شماره 4، ص­.ص. 75-97.
کبیری سامانی، ع. ر. (1379). طراحی بهینة صفحات ضد گرداب در آبگیرها. پایان‌نامه کارشناسی ارشد، گروه منهدسی عمران، دانشگاه صنعتی شریف، تهران ایران.
شمشی، ر. ( 1391 ). بررسی تأثیر ورودی کلید پیانویی برهیدرولیک جریان در سرریزهای مدور قائم، پایان‌نامه کارشناسی ارشد، گرایش آب، دانشکده مهندسی عمران، دانشگاه صنعتی اصفهان، اصفهان.
موسوی جهرمی، ح.؛ و الستی، ک. (1385). "تأثیر تیغه­های گردابشکن بر جریان سرریزهای نیلوفری"، همایش ملی مدیریت شبکه­های آبیاری و زهکشی، دانشکده مهندسی علوم آب، دانشگاه شهید چمران اهواز، 1۲ تا 1۴ اردیبهشت ماه.
نصیری، س.،؛ کبیری سامانی، ع.ر. و اصغری، ک. (1395). "مدل­سازی عددی میدان جریان در اطراف سرریزهای مدور قائم با ورودی کلید پیانویی". هیدرولیک، دوره 11، شماره 1، ص.ص. 53-66.
Aghamajidi, R. (2013). “Computerized simulation of hydraulic behavior of shaft spillway vortex breaker on crest and semi long stepped chamber throat”. Technical Journal of Engineering and Applied Sciences, 23)3(, pp. 3325-3332.
Bieri, M. Ribeiro, M.L. Boillat, J.L. Schleiss, A. Lauger, F. Delorme, F. and villard, J.F. (2009). Rehabilitation de la capacite d’evacuation des crues Integration de PK-Weirs sur des barrages existants, Colloque CFBR-SHF, Paris, [In French].
Borghei, S.M. and Kabiri-Samani, A.R. (2010). “Effect of anti-vortex plates on critical submergence at a vertical intake, Sientia Iranica”, Transaction A: Civil Engineering, 17)2(, pp. 89-95.
Borghei, S.M. and Kabiri-Samani, A.R. (2013). “Effects of anti-vortex plates on air entrainment by free vortex”, Sientia Iranica, 20)2(, pp. 251-258.
Dargahi, B. (2006). “Experimental study and 3D numerical simulations for a free-overflow spillway”. ASCE J. Hydraulic Engineering, 132(9), pp. 899-912, (10):1061/0733–9429.
FLUENT User's Guide (2003). Fluent Inc., Centerra Resource Park, 10 Cavendish Court Lebanon, NH 03766
Gulliver, J. Rindels, A.J. and Lindblom, K.C. (1986). “Design intakes to avoid free surface”, Water Power and Dam Construction, 38)9(, pp. 224–232.
Kabiri-samani, A.K. and Javaheri, A. (2011). “Discharge coefficient for free submerged flow over piano key”, Journal of Hydraulic Research. 50)1(, pp.114-120.
Khatsuria, R.M. (2005). “Hydraulics of spillways and energy dissipators”, Civil and Enviromental Engineering, 132)2(, pp .649-651.
Laugier, F. (2007). “Design and construction of the first Piano Key weir spillway at Goulours dam”, International Journal of Hydropower and Dams. 14(5), pp. 94-100.
Launder, B.E. and Spalding D.B. (1974). “The numerical computation of turbulent flows”. Comp. Methods Appl. Mech. Eng., 3, pp. 269-289.
Lempérière, F. and Ouamane, A. (2003). “The piano keys weir: a new cost-effective solution for spillways”, International Journal of Hydropower and Dams, 10(5), pp. 144-149.
Lewellen, W.S. (1962). “A solution for three dimensional vortex flow with strong circulation”, Aerospace Corporation Rep. TD R-930, (2210-14) TN-1.
Mahtabi, G. and Arvanaghi, H. (2018). Experimental and numerical analysis of flow over a rectangular full-width sharp-crested weir, Water Science and Engineering, 11(1), pp. 75-80.
Mansouri, R. Ziaei, A.N. and Hinkelmann, R. (2014). “Comparison of numerical, experimental and empirical results for flows over vertical drops”, Progress in Computational Fluid Dynamics, 14(2), pp. 118-129.
Novak, P. and Cabelka, J. (1981). “Models in hydraulic engineering”. Pitman, London, UK.
Peterka, A.J. (1956). Morning-glory shaft spillways: performance tests on prototype and model, Trans. A.S.C.E. 121.
Rahimzadeh, H. Maghsoodi, R. Sarkardeh, H. and Tavakkol, S. (2012). “Simulating Flow Over Circular Spillways by Using Different Turbulence Models”, Engineering Applications of Computational Fluid Mechanics, 6:1, pp. 100-109.
Schleiss A. J. (2011). From labyrinth to piano key weirs. Ecolepoly technique Federal de Lausanne, Switzerland.
Shamsi, R. and Kabiri-Samani, A.R. (2016). “Swirling flow at vertical shaft spillways with circular piano-key inlets”, Journal of Hydraulic Research, 55(2), pp. 248-258.
Trivellato, F. (2010). “Anti-vortex devices: Laser measurements of the flow and functioning”. Optics and Lasers in Engineering, 48, 589-599.
USBR. (1987). Design of Small Dams, U. S. Bureau of Reclamation, Denver, CO.
Wagner, W.E. (1954). Morning-glory shaft spillways determination of pressure-controlled profiles, A.S.C.E. Proceedings. 80.
Wang, Y. K. Jiang, C. B. and Liang, D. F. (2010). “Investigation of air-core vortex at hydraulic intakes”, Journal of Hydrodynamics, 22)5(, pp. 696-701.
Wayne Coleman, H. Wei, C. Y. and Lindell, J. E. (2004). Hydraulic design of spillway. McGraw-Hill, New York.
Zachoval, Z. and Roušar, L. (2015). “Flow structure in front of the broad-crested weir”, EPJ Web Conf., 92, pp. 1-4, doi:10.1051/epjconf/ 20159202117
  • Receive Date: 18 January 2018
  • Revise Date: 19 June 2018
  • Accept Date: 22 July 2018
  • First Publish Date: 22 November 2018