• HYDROMAGNETIC CONVECTIVE HEAT TRANSFER THROUGH A POROUS MEDIUM IN VERTICAL CHANNEL WITH QUADRATIC TEMPERATURE VARIATION

Abstract

In this paper an attempt has been made to study the free convective heat transfer of a viscous, electrically conducting fluid through a porous medium confined in a vertical channel under the influence of a uniform transverse magnetic field. The walls of the channel are maintained at non-uniform temperature and quadratic temperature distribution. The governing non-linear momentum equations are reduced to a single equation in terms of the Stokes stream functiony, on eliminating pressure and using the equation of continuity .The temperature on the boundary is assumed to vary slowly in axial direction with slope d(<<1).The stream function y and the temperature q are given expansions in powers of d,and the equations corresponding to the zeroth, first and second order are solved with the approximate boundary conditions. The velocity and temperature distributions have been analysed for variations in the governing parameters.