Simulation of Density Flow in Dam Reservoirs Using Two Dimensional Mathematical Models

Density inflow is modeled in two dimensions through a reservoir with sloping bottom. If an in flow of higher density enters ambient dam reservoir water, then it plunges below theambient water and then becomes density underflow. In the present model, nonlinear andunsteady continuity, momentum, energy and turbulence model equations are formulated in theCartesian coordinates. For the turbulence viscosity, k-ε turbulence model is used with anextension to include production or destruction of turbulent kinetic energy. In order toinvestigate the Coriolis force effect on the density flow in a dam reservoir, Coriolis forceparameter is included in the governing equations. The equations of the model are solved basedon the initial and boundary conditions of the dam reservoir flow for a range of bottom slopes.The results of the present model are compared with the previous experimental work and themathematical model. Present mode