Variable viscosity and thermal conductivity effects on combined heat and mass transfer in mixed convection over a UHF/UMF wedge in porous media: the entire regime

Abstract

Mixed convection along a wedge embedded in a fluid-saturated porous media incorporating the variation of viscosity and thermal conductivity has been investigated for the case of uniform heat flux (UHF) and uniform mass flux (UMF). The governing equations, reduced to local nonsimilarity boundary layer equations using suitable transformations, have been solved numerically employing finite difference method. The entire regime of the mixed convection is included, as the mixed convection parameter χ varies from 0 (pure free convection) to 1 (pure forced convection). The numerical results for the dimensionless temperature, dimensionless concentration, local Nusselt (Sherwood) number are obtained. The decay of the dimensionless temperature and concentration profiles has been observed. The local Nusselt (Sherwood) number increase for the increase in buoyancy ratio N and for the decrease in wedge angle parameter λ. Also the local Nusselt number decreases for the increase of ε or γ and the local Sherwood number increases for the increase of γ and decreases for the increase of ε. The variations of the local Nusselt (Sherwood) number with the increase of χ have the phenomenon of minimum. It is observed that the Lewis number has a more pronounced effect on the local Sherwood number than it has on the local Nusselt number.