Non-Darcy hydromagnetic free convection from a cone and a wedge in porous media

Continuum equations governing non-Darcy hydromagnetic free convection flow of an electrically conducting and heat-generating fluid over a vertical cone and wedge adjacent to a porous medium are developed. These equations account for such effects as buoyancy, boundary and inertia effects of porous media, Hartmann effects of magnetohydrodynamics, and heat generation or absorption of fluid. Similarity variables were employed for the case of variable surface temperature and the resulting ordinary differential equations are solved numerically by an implicit, iterative, finite-difference method. Flow and heat transfer numerical results are obtained for various combinations of physical parameters. Graphical results illustrating interesting features of the physics of the problem are presented and discussed.