Hydromagnetic natural convection from an isothermal inclined surface adjacent to a thermally stratified porous medium

A mathematical model governing free convection boundary-layer Bow over an isothermal inclined plate embedded in a thermally stratified porous medium in the presence of a non-uniform transverse magnetic field is developed. The resulting equations account for non-Darcian boundary and inertial effects of the porous medium and allow for variable ambient temperature. In this study, the ambient temperature is assumed to be an increasing function with the distance along the plate and the applied magnetic field is assumed to be a power-law function of the axial or vertical distance. The governing equations are solved subject to appropriate boundary conditions using an implicit finite-difference method. It is found that increases in either of the non-Darcian porous medium inertial parameter or the magnetic field power index. the stratification parameter, or the inclination or full-wedge angle cause reductions in the skin-friction coefficient and the local Nusselt number. Also, as the Hartmann number is increased, both the skin-friction coefficient and the local Nusselt number are increased. (C) 1997 Elsevier Science Ltd.