Numerical Modeling of Hydraulic Jump in Stilling Basin of High Dams

Authors

1 Water Engineering and Hydraulic Structures, Faculty of Civil Engineering, Semnan University, Semnan, Iran

2 Assistant Professor, Department of Civil Engineering, Semnan University, Semnan, Iran

3 Assistant Professor, Faculty of Engineering, Hakim Sabzevari University, Sabzevar, Iran,

4 Professor, Department of Water Engineering, Faculty of Civil Engineering, Semnan University, Semnan, Iran

10.22125/iwe.2020.114695

Abstract

The outflow from dams, due to its huge amount of kinetic energy, can cause damages such as scouring of the riverbed or destruction of the equipment. Stilling basins are structures that dissipate the excess flow energy at downstream of dams. One of the most common methods, which is used in hydraulic structures analysis, is numerical simulation. Most of these methods are based on computational fluid dynamics (CFD. With the capabilities of numerical methods and advanced softwares, complex and diverse modes of action can be investigated. In this research, hydraulic jumps in stilling basin at downstream of a high dam is numerically simulated by using three different turbulence models including the standard K-ε, RNG and LES models and then the results are compared with the experimental data. According to the results, the best turbulence model was LES model for numerical modeling of flow in the stilling basin. In order to evaluate the effect of chute blocks on the performance of stilling basin, a proposed model assuming standard chute blocks of USBR stilling basin type II is considered and this model is compared with the original model. Results showed a decrease of approximately 40% and 4.5% in the flow velocity, respectively, in the beginning of the stilling basin and incident hydraulic jump section on the chute structure, which reflects the high impact of the chute blocks on the improvement of the performance of this dam's stilling basin.

Keywords


ماروسی، م.، روشن، ر. و سرکرده، ح. 1393. تحلیل و طراحی با نرم‌افزار FLOW-3D، انتشارات فدک ایساتیس.
A. Abbaspour, Farsadizadeh, D., Dalir, A.H., Sadraddini, A., Numerical study of hydraulic jumps on corrugated beds using turbulence models. Turkish Journal of Engineering and Environmental Sciences, Vol. 33, No. 1, pp. 61-72, 2009. (In Persian).
A.A. El-Masry, Minimization of scour downstream heading-up structures using double line of angle baffles. In: Proc. of sixth International Water Technology Conference (IWTC), Alexandria, Egypt, 2001.
A.A. El-Masry, Sarhan, T.E., Minimization of scour downstream heading-up structure using a single line of angle baffles. Engineering Research Journal of Helwan University, Vol. 69, 2000.
 A.A. Salehi Neyshabouri, Nasiri Saleh, F., Turbulence Models and Their Application in Hydraulics. Tarbiat Modares University Press, 2008. (In Persian).
A. Goel, Verma, D.V.S., Development of Economical Energy Dissipators for Pipe Outlets with Low Inflow Froude Numbers. Asian Institute of Technology, Thailand, 2000.
A. Goel, Verma, D.V.S., Improved design of energy dissipators for pipe outlets. Journal of Irrigation and Drainage Systems, Vol. 13, No. 4, pp. 313-320, 1999.
A. Gonzalez, Bombardelli, F., Two-phase flow theory and numerical models for hydraulic jumps including air entrainment. Proc. XXXI IAHR Congress, Seoul, Korea, 2005.
A.J. Peterka, Hydraulic Design of Stilling Basins and Energy Dissipators, Engineering Monograph No. 25, US Bureau of Reclamation, Denver, USA, 1958.
A.J. Peterka. Hydraulic Design of Stilling Basins and Energy Dissipaters, U.S. Dept. of the Interior, Bureau of Reclamation, Denver, Colorado, 1978.
A.M. Gharangik, Chaudhry, M.H., Numerical model of hydraulic jump. Journal of Hydraulic Engineering, Vol. 117, pp. 1195-1209, 1991.
D.H. Tang, Pinder, G.F., Solution of an inverse problem in groundwater flow using uncertain data. In: G.A. Keramidas, Brebbia C.A. (Eds.) Computational Methods and Experimental Measurements. Springer, Berlin, https://doi.org/10.1007/978-3-662-11353-0_5, 1982.
D. Long, Steffler, P., Rajaratnam, N., A numerical study of submerged hydraulic jumps. Journal of Hydraulic Research, Vol. 29, No. 3, pp. 293-308, 1991.
D. Long, Rajaratnam, N., Steffler, M.P., Smy, P.R., Structure of flow in hydraulic jumps, Journal of Hydraulic Research, Vol. 29, No. 2, pp. 207-218, 1991.
D.L. Vischer, Hager, W.H., Energy Dissipaters. Swiss Federal Institute of Technology, ETH, Zurich, Switzerland, 1995.
F.J. Resch, Leutheusser, H.J., Reynolds stress measurements in hydraulic jumps. Journal of Hydraulic Research, Vol. 10, No. 4, pp. 409-430, 1972.
F.S.F. Abdelhaleem, Effect of semi-circular baffle blocks on local scour downstream clear-overfall weirs. Ain Shams Engineering Journal, Vol. 4, No. 4, pp. 675-684, 2013.
G. Heidarinejad, Advanced Fluid Mechanics. Tarbiat Modares University Press, 2014. (In Persian).
G. Heidarinejad, an Introduction to Turbulence. Tarbiat Modares University Press, 2009. (In Persian).
Goel, A., Experimental study on stilling basins for square outlets. Third WSEAS International Conference on Applied and Theoretical Mechanics, Spain, December 14-16, pp. 157-162, 2007.
H. Chanson, Air Bubble Entrainment in Hydraulic Jumps Similitude and Scale Effects. Dept. of Civil Engineering, the University of Queensland, Brisbane, Australia, 2006.
H.L. Tiwari, Design of stilling basin with impact wall and end sill. International Research Journal of Recent Sciences, Vol. 2, No. 3, pp. 59-63, 2013.
H.L. Tiwari, Gahlot, V.K., Tiwari, S., Reduction of scour depth downstream of stilling basin. International Research Journal of Engineering Sciences, Vol. 2, No. 7, pp. 20-25, 2013.
H.L Tiwari, Pawar, A., Gehlot, B.K., Singh, J., Study of shape of intermediate sill on the design of stilling basin model. International Journal of Research in Engineering and Technology (IJRET), Vol. 3, No. 4, pp. 133-138, 2014.
H.L. Tiwari, Tiwari, S., Design of stilling basin models with intermediate sill. Journal of Science, Technology and Management, Vol. 2, No. 4, pp. 66-71, 2013.
H. Rahimzadeh, Maghsoodi, R., Sarkardeh, H., Tavakkol, S., Simulating flow over circular spillways by using different turbulence models. Journal of Engineering Applications of Computational Fluid Mechanics, Vol. 6, No. 1, pp. 100-109.
J.C.C. Amorim, Rodrigues, C.R., Marques, M.G., A numerical and experimental study of hydraulic jump stilling basin. Advances in Hydro-science and Engineering, International Conference on Hydro-science and Engineering, 2004.
  M.A. Abdelazim, a Hybrid Approach to Improve Design of Stilling Basin. Nile Basin Capacity Building Network, 2010.
M.A. Sarker, Rhodes, D.G., Physical modeling and CFD applied to hydraulic jump. XXIX IAHR Congress, Tsinghua University Press, Beijing, 2002.
M. Bakhtiari, Kashefipor, S.M., Shafaei Bajestan, M., Experimental study of characteristics of hydraulic jump in a rectangular, divergent stilling basin. Fourth National Conference on Management of Irrigation and Drainage Networks, Shahid Chamran University, College of Water Sciences and Engineering, 2013. (In Persian).
M. Jadidi, Turbulence Modeling. IUT Computational Fluid Dynamics Group, 2011. (In Persian).
M. Jahan Miri, the Phenomenon of Turbulence in Fluids. Sarvnegar Publisher, 2010. (In Persian).
M. Schwalt, Hager, W.H., Die Strahlbox (The jet box). Schweizer Ingenieur und Architect, Vol. 110, No. 27-28, pp. 547-549, 1992. (In German).
N. Rajaratnam, Hydraulic jump on rough bed. Transaction of the Engineering Institute of Canada, 1968.
Q. Zhao, Misra, S., Numerical study of aturbulent hydraulic jump. Proceeding of 17th Engineering Mechanics Conference, University of Delaware, New York, 2004.
S.R. Sabbagh, Rostami, F., Turbulent modeling effects on finite volume solution of three-dimensional aerated hydraulic jumps using volume of fluid. 12th WSEAS International Conference on Applied Mathematics, Cairo, Egypt, 2007.
S.R. Sabbagh, Shamlou, H., Rostami, R., Numerical study of flow in hydraulic jump stilling basin using VOF method. Second National Conference of Dams and Hydroelectric Power Plants, Tehran, 2008.
V.T. Chow, Open Channel Hydraulics. McGraw-Hill, New York, 1959.
  W. Hager, Bremen, R., Classical hydraulic jump: Sequent depths. Journal of Hydraulic Research, Vol. 27, No. 5, pp. 565-585, 1989.
  Z. Shojaeian, Kashefipour, S.M., Numerical modeling of hydraulic jump in stilling basin of Namrood reservoir dam. Journal of Soil and Water, Vol. 23, No. 2, pp. 283-295, 2012. (In Persian).