INDIRECT NATURAL CONVECTION FOR TRANSIENT HYDROMAGNETIC GAS FLOW ALONG AN INCLINED PLANE IN A POROUS MEDIA: LAPLACE TECHNIQUE

Abstract

The present flow model deals with analytical solution for unsteady gravity-driven thermal convection flow of a viscous incompressible, absorbing-emitting, electrically-conducting, optically-thick gray gas along an inclined plane in saturated porous medium in presence of a transverse magnetic field. To simulate thermal radiation effects the Rosseland diffusion flux model is employed. Moreover, for some of physical parameters numerical investigations have been made for the flow velocity, flow temperature, skin-friction coefficient and surface heat transfer rate. With increasing inclination of the plane the flow is found to be accelerated. With progression of porosity and greater inclination of the plate velocity gradients at the plate are found to be enhanced. Applications of the model arise in astrophysics, high temperature materials operations exploiting magnetic fields and MHD (Magneto-Hydro-Dynamic) energy generators.