UNSTEADY HYDROMAGNETIC FREE CONVECTIVE FLOW THROUGH A POROUS MEDIUM IN AN INFINITE VERTICAL POROUS PLATES

Abstract

The paper investigates analytically two dimensional flow of a viscous incompressible electrically conducting fluid past an infinite vertical porous plate in a porous medium in the presence of uniform transverse magnetic field and constant heat source. Physical properties are assumed as constant and Fluid particles are assumed as electrically conducting. The equations describing the heat and mass transfer were transformed using self-similar solution and solved analytically using Frobenius method. The effects of various flow parameters on the velocity and temperature, for the case of Grashof number, Gr < 0 (that is heating of the plate) are shown with the aid of graphs and discussed. The results obtained revealed that velocity decreases along distance but increases as permeability number and Grashof number increase while maximum temperature increases as permeability number, Prandtl number and Eckert number increase.