Analytical study of MHD natural convective flow of incompressible fluid flow from a vertical flat plate in porous medium

The steady two-dimensional laminar natural convection flow and heat transfer of a viscous incompressible, electrically conducting fluid past a vertical impermeable flat plate is considered in presence of a uniform transverse magnetic field in porous media. The governing equations are derived using the usual boundary layer approximation and accounting for applied, uniform magnetic tranverse magnetic field. These equations and boundary condition are transformed using the non-similarity transformation. The resulting linear coupled ordinary differential equation solved analytically subjected to the transformed boundary conditions. The skin-friction and nusselt number is also calculated. Graphical result for the velocity and temperature profiles along with skin friction coefficient are presented and discussed with respect the appropriate physical parameter.