Three-dimensional numerical simulation of flow pattern at intakes from straight channel with a trapezoidal section

Document Type : Research Paper

Authors

1 Ph.D. student, Faculty of Civil & Environment Engineering, Tarbiat Modares University, Tehran, Iran

2 Professor, Faculty of Civil & Environment Engineering, Tarbiat Modares University, Tehran, Iran

3 Professor, Faculty of Agricultural Engineering and Technology College of Agriculture & Natural Resources, University of Tehran, Karaj, Iran

Abstract

In this study, a numerical 3D model for simulation of lateral intake from the main channel with trapezoidal section has been developed. This model has solved the 3D Reynolds equations using finite volume method and k-ω turbulent model for solution of turbulent equations. The equations discretized at non-orthogonal and non-staggered curvilinear mesh. Given the lack of mesh orthogonally, it is necessary to enter a new item for modification of pressure equations.  Also, power-law scheme and the SIMPLE algorithm have been used for parameter’s discretization and pressure-velocity coupling respectively. Developed model verified by simulating of complex flow pattern at lateral intake from a straight channel and a proper fitness between laboratory data and the model results was obtained.  After that, the effect of side slope of the main channel wall on the flow pattern and division zone width was examined and showed by increasing slope from the vertical mode, the ratio of intake flow from the surface is more than the bed and this can be effective in reducing sediment entry to the intake. In this situation and in contrast to the intake from channel with vertical wall, the variation of division’s width, from the floor to the surface of the water is initially decreased and then increased.

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Alomari, N., Yusuf, B., Mohammed, A T. and Ghazali, A.H. (2016). Flow in a branching open channel: A Review. Pertanika Journal of Scholarly Research Reviews. 2(2): 40-56
Barkdoll, B. D. (1997). Sediment control at lateral diversions, PhD thesis, Dept. of Civil and Environmental Engineering, Univ. of Iowa.
Ghostine, R., Vazquez, J., Terfous, A., Rivière, N., Ghenaim, A., and  Mosé, R. (2013). A comparative study of 1D and 2D approaches for simulating flows at right angled dividing junctions. Applied Mathematics and Computation, 219(10), 5070–5082.
Hager, W. (1987). Lateral outflow over side weirs. Journal of Hydraulic Engineering, 113(4),491-504.
Hayes, R., Nandakumar, K., and Nasr-El-Din, H. (1989). Steady laminar flow in a 90 degree planar branch. Computers & Fluids, 17(4), 537-553.
Hsu, C., Tang, C., Lee, W., and Shieh, M. (2002). Subcritical 90˚ equal-width open-channel dividing flow. Journal of Hydraulic Engineering, 128(7), 719-720.
Jafari, S. (2014). Experimental study of slopping bank effect on the performance of lateral intake with and without submerged vanes. Ph.D. dissertation, Tarbiat Modares University, Tehran.
Kesserwani, G., Vazquez, J., Rivière, N., Liang, Q., Travin, G., and Mosé, R. (2010). New approach for predicting flow bifurcation at right-angled open-channel junction. Journal of Hydraulic Engineering, 136(9). 662-668.
Melaan, M. C. (1990) Analysis of curvilinear non orthogonal  coordinates for numerical calculation of fluid flow in complex Geometries, Thesis  for the DR.ING.Degree, university of trondheim, Norweg.
Neary, V. and Sotiropoulos, F. (1996). Numerical investigation of laminar flows through 90-degree diversions of rectangular cross-section. Computers & Fluids, 25(2), 95-118.
Neary, V., Sotiropoulos, F., and Odgaard, A. (1999). Three-dimensional numerical model of lateral-intake inflows. Journal of Hydraulic Engineering, 125(2), 126-140.
 
Omidbeigi, M. A., Ayyoubzadeh, S. A. and Safarzadeh, A. (2009). Experimental and numerical investigations of velocity field and bed shear stresses in a channel with lateral intake. 33rd IAHR Congress: Water Engineering for a Sustainable Environment, Vancouver, 1284-1291.
Ramamurthy, A., Minh Tran, D. and Carballada, L. (1990). Dividing flow in open channels. Journal of Hydraulic Engineering, 116(3). 449-455
Ramamurthy, A., Qu, J., and Vo, D. (2007). Numerical and experimental study of dividing open-channel flows. Journal of Hydraulic Engineering, 133(10), 1135-1144.
Rodi W. (1980). Turbulence Models and Their Application in Hydraulics - A State of the Art Review, IAHR, Delft, The Netherlands. CRC Press, Dey 11, 1371 AP - Technology & Engineering - 124 pages.
Safarzadeh A. and Salehi A. A. (2006). Numerical modeling of turbulent flow and sediment transport in lateral intake from river. Modares Technical And Engineering Journal. 25, 1-17 (In Farsi)
Seyedian, S. M., Bajestan, M. S., and Farasati, M. (2014). Effect of bank slope on the flow patterns in river intakes. Journal of Hydrodynamics, Ser.B, 26(3), 482-492.
Shamloo, H. and Pirzadeh, B. (2007). Investigation of characteristics of separation zones in T-junctions. Proceedings of the 12th WSEAS International Conference on applied mathematics, Cairo, Egypt, Desember29-31, 189-193.
Shettar, A. S. and Murthy, K. K. (1996). A numerical study of division of flow in open channels. Journal of Hydraulic Research, 34(5), 651-675.
Taylor, E. H. (1944). Flow characteristics at rectangular open-channel junctions. Transactions of the American Society of Civil Engineers, 1944, Vol. 109, Issue 1, Pg. 893-902.
Vasquez, J. (2005). Two-dimensional numerical simulation of flow diversions. 17th Canadian Hydrotechnical Conference, Edmonton, Alberta. August 17–19.
Versteeg, H. K. and Malalasekera, W. (2007). An introduction to Computational Fluid Dynamics - The Finite Volume Method, Longman Scientific & Technical. Pearson Education Limited, 503 pages.