Free convective flow of a stratified fluid through a porous medium bounded by a vertical plane (Q1335508)

Steady two-dimensional free convection flow of a thermally stratified viscous fluid through a highly porous medium bounded by a vertical plane surface of varying temperature, is considered. Analytical expressions for the velocity, temperature and the rate of heat transfer are obtained by perturbation method. Velocity distribution is also obtained for certain values of the parameters by integrating the coupled differential equations by Runge-Kutta method and compared with the analytical solution. The main goal is to study the effect of equilibrium temperature gradient on the velocity and the rate of heat transfer.