Non-Darcy fully developed mixed convection in a porous medium channel with heat generation/absorption and hydromagnetic effects

Volume-averaged equations are developed governing steady, laminar, fully developed, hydromagnetic mixed convection non-Darcian flow of an electrically conducting and heat-generating/absorbing fluid in a channel embedded in a uniform porous medium. Proper dimensionless parameters are employed for various thermal boundary conditions on the left and right walls of the channel prescribed as isothermal-isothermal, isothermal-isoflux, and isoflux-isothermal. Analytical expressions for the velocity and temperature profiles in the channel as well as for the mass flow rate, friction factor, cmd heat carried out by the fluid in the channel are developed for special cases of the problem. Conditions for the occurrence of fluid backflow zones are reported. The fully nonlinear governing equations are solved numerically by an implicit finite difference method. Favorable comparisons with the developed analytical results and previously published work are performed Graphical results of the closed-form and numerical results are reported for various parametric conditions to illustrate special features of the solution.