Hydromagnetic mixed convection in a two-sided lid-driven porous enclosure

The effect of magnetic field on mixed convection in a two-sided lid-driven cavity filled with a fluid saturated porous medium is studied numerically. The left and right vertical walls of the cavity are insulated while the top and bottom horizontal walls are kept at constant but different temperatures. The top and bottom horizontal walls are moving on its own plane at a constant speed while vertical walls are fixed. Two cases were considered depending on the direction of moving walls. A uniform magnetic field is applied in the vertical direction normal to the moving wall. The governing equations are solved using finite-volume approach along with the SIMPLE algorithm. Numerical solutions are obtained for a wide range of parameters. It is found that Hartmann number, Richardson number, Darcy number and direction of the moving walls have strong influence on the fluid flow and heat transfer in the enclosure.