Numerical simulation and analysis of water flow over stepped spillways

Numerical simulation of water flow over the stepped spillway is conducted using Mixture multiphase flow model. Different turbulence models are chosen to enclose the controlling equations. The turbulence models investigated are realizable k-ɛ model, SST k-ω model, v2-f model and LES model. The computational results by the four turbulence models are compared with experimental ones in the following aspects: mean velocity, the spanwise vorticity and the growth of the turbulent boundary layer thickness in the streamwise direction. It is found from the comparison that the realizable k-ɛ model, in which the rotation tensor is included, shows good performance for simulation of flows involving rotation, boundary layer and recirculation. The realizable k-ɛ model is the most efficient in simulating flow over stepped spillways. Further, the characteristics of water flow on the stepped spillway are studied in terms of the mean velocity profile normal to the pseudo-bottom and the pressure field on the steps based on the simulation results using realizable k-ɛ model.

[1]  Martí Sánchez-Juny,et al.  Characterization of the Nonaerated Flow Region in a Stepped Spillway by PIV , 2006 .

[2]  Willi H. Hager,et al.  Bottom Aeration of Stepped Spillways , 2006 .

[3]  Hubert Chanson,et al.  Hydraulics of Stepped Chutes and Spillways , 2002 .

[4]  Ahmet Baylar,et al.  An experimental investigation of aeration performance in stepped spillways , 2006 .

[5]  Jiang Luo,et al.  Conjugate heat transfer analysis of a cooled turbine vane using the V2F turbulence model , 2007 .

[6]  Nallamuthu Rajaratnam,et al.  Characteristics of Skimming Flow over Stepped Spillways , 2000 .

[7]  Hubert Chanson,et al.  Air–water flows down stepped chutes: turbulence and flow structure observations , 2002 .

[8]  A. J. Peterka,et al.  The Effect Of Entrained Air On Cavitation Pitting , 1953 .

[9]  Willi H. Hager,et al.  Hydraulic Performance of Step Aerator , 2008 .

[10]  T. Shih,et al.  A New K-epsilon Eddy Viscosity Model for High Reynolds Number Turbulent Flows: Model Development and Validation , 1994 .

[11]  Luo Lin,et al.  Numerical simulation of air-water two-phase flow over stepped spillways , 2006 .

[12]  P. Durbin.  SEPARATED FLOW COMPUTATIONS WITH THE K-E-V2 MODEL , 1995 .

[13]  J. Dolz,et al.  Pressures on a stepped spillway , 2007 .

[14]  Willi H. Hager,et al.  Hydraulic Design of Stepped Spillways , 2003 .

[15]  Somchai Wongwises,et al.  Flow Patterns and Energy Dissipation over Various Stepped Chutes , 2006 .

[16]  Qun Chen,et al.  Volume of Fluid Model for Turbulence Numerical Simulation of Stepped Spillway Overflow , 2002 .

[17]  Willi H. Hager,et al.  Two-Phase Flow Characteristics of Stepped Spillways , 2003 .

[18]  T. Shih,et al.  A new k-ϵ eddy viscosity model for high reynolds number turbulent flows , 1995 .

[19]  Masayuki Takahashi,et al.  Flow Characteristics of Skimming Flows in Stepped Channels , 2004 .

[20]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[21]  Willi H. Hager,et al.  Hydraulics of stepped spillways : proceedings of the International Workshop on Hydraulics of Stepped Spillways, Zürich, Switzerland, March 22-24, 2000 , 2000 .

[22]  Willi H. Hager,et al.  Stepped chutes: Pre-aeration and spray reduction , 2006 .

[23]  Hubert Chanson.  Hydraulics of stepped spillways : current status , 2000 .

[24]  F. Menter.  Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .