Natural convection of non-newtonian fluids in the porous medium on a horizontal surface

The problem of natural convection of non-Newtonian power-law fluids in the porous medium on a horizontal heated plate is analyzed. It is assumed that the temperature distribution of this plate is a power function of distance from the leading edge. The present study is based on the boundary layer approximations and only suitable for a high Rayleigh number. The differential equations are solved numerically using the fourth order Runge-Kutta method and the new implicit finite-difference scheme. The results are in good agreement. The effects of the wall temperature distribution t„(jc) and the new power-law index n on the characteristics of heat transfer are discussed.