MHD FLOW AND HEAT TRANSFER THROUGH NON-DARCY POROUS MEDIUM BOUNDED BETWEEN TWO PARALLEL PLATES WITH VISCOUS AND JOULE DISSIPATION

The steady magnetohydrodynamic (MHD) flow and heat transfer of electrically conducting viscous incompressible fluid through non-Darcian porous medium bounded between two horizontal infinite impermeable parallel plates is investigated for viscous and Joule dissipation effects. The Darcy-Brinkman-Forchheimer equation governing the motion of fluid is solved numerically using the differential transform method. The energy equation is solved numerically by the Rayleigh-Ritz method. The effects of the dimensionless physical parameters (i.e., the Forchheimer, Hartmann, Brinkman, and Darcy numbers and the effective viscosity) on flow and heat transfer profiles are discussed through graphs.