Mixed convection in a double lid-driven sinusoidally heated porous cavity

In this paper, we have numerically simulated two dimensional (2D) mixed convection flow in a sinusoidally heated porous cavity whose two vertical walls (lids) are in motion. The left vertical wall of the square cavity is maintained at constant cold temperature and the right wall of the cavity is sinusoidally heated, while upper and bottom walls are adiabatic. Three cases are considered depending on the direction of moving walls. We have used streamfunction-vorticity (ψ-ζ) formulation of Brinkmann-extended Darcy model to simulate the momentum transfer in the porous medium. The streamfunction-vorticity and the energy equations are all solved as a coupled system of equations for the five field variables consisting of streamfunction, vorticity, two velocities and temperature using compact scheme on nonuniform grids presented in Pandit et al. (2007). The numerical results are analyzed over a range of the key parameters e.g. Richardson number Ri, Darcy number Da, Grashof number Gr, amplitude of the temperature variation and phase deviations. A parametric study is conducted for all cases.