Wall Jet Flow Simulation in a Reservoir Using a Three-Dimensional Mathematical Model.

Abstract

Density and divergence flow analysis in a dam reservoir is essential from the point of view of reservoir sedimentation studies, water quality modeling, habitat in reservoirs, effluent mixing analyses, and circulation flows in ambient waters of a dam. In the present study, different density inflow was modeled in three-dimensions along a dam reservoir with diverging and sloping bottom channels. Nonlinear and unsteady continuity, momentum, energy and turbulence model equations were formulated in the Cartesian coordinates. k-ε turbulence model including density effects was used to the turbulence viscosity. The Coriolis force effect was also included in the governing equations for a dam reservoir. The generated model was solved based on the initial and boundary conditions of the dam reservoir flow for a range of bottom slopes and divergence angles. The model successfully simulates the formation of wall jets in ambient water. The present model simulation results were compared with previous experimental work. The present model results were compatible with the experimental results.

Keywords

• Dam reservoir
• Mathematical model
• Density flow
• Wall jet flow
• Divergence flow