Variable permeability effects on mixed convection along a vertical wedge embedded in a porous medium with variable surface heat flux

Abstract

The problem of mixed convection from impermeable vertical wedge in a fluid saturated porous medium incorporating the variation of permeability and thermal conductivity is analyzed. A nonsimilarity solution is obtained for the case of variable surface heat flux in the form q w ( x)= bx m . The entire mixed convection regime is covered by the single nonsimilarity parameter ξ=[1+( Ra x / Pe x 3/2) 1/3] −1 from pure forced convection ( ξ=1) to pure free convection ( ξ=0). A finite-difference scheme was used to solve the system of transformed governing equations. Velocity and temperature profiles, and local Nusselt number are presented. The wedge angle geometry parameter is ranged from 0 to 1.