Variable permeability effect on buoyancy-induced inclined boundary layer flow in a saturated porous medium with variable wall temperature

The analysis is carried out for buoyancy-induced boundary layer flow adjacent to an inclined heated surface in a saturated porous medium incorporating the variation of permeability and thermal conductivity due to paking particles with non-uniform temperature. The surface temperature is assumed to vary as a power function of the axial coordinate measured from the leading edge of the surface. Both the streamwise and normal component of the buoyancy force are retained in the momentum equations. Numerical solutions are obtained in the cases of uniform and nonuniform permeability and various values of the inclination parameter ξ (x) = (Ra _x cos ϕ)^1/3 tan ϕ by using finite difference method. The problem is solved using nonsimilarity solutions for the case of variable wall temperature. Results for the details of the velocity and temperature fields as well as local Nusselt number have been presented.