Coupled heat and mass transfer in mixed convection over a VHF/VMF wedge in porous media: The entire regime

Abstract

Coupled heat and mass transfer in mixed convection about a wedge embedded in saturated porous media has been analyzed by nonsimilar solutions for the case of variable heat flux (VHF) and variable mass flux (VMF). 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 transformed nonlinear system of equations is solved by using an implicit finite difference method. The dimensionless temperature profiles, the dimensionless concentration profiles, the local Nusselt number and the local Sherwood number are presented. The decay of the dimensionless temperature profiles and the dimensionless concentration profiles has been observed in all cases. The local Nusselt number and the local Sherwood number increase for the increase in buoyancy ratioN*, wall heat/mass flux exponents and for the decrease in wedge angle parameter λ. The variations of the local Nusselt number and the local Sherwood number with the increase of χ* have the phenomenon of minimum. For a positive (negative)N*, increasing the Lewis number decreases (increases) the local Nusselt number. On the other hand, the local Sherwood number enhances as the Lewis number increases. Moreover, 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.