Radiation effects in mixed convection flow of a viscous fluid having temperature-dependent density along a permeable vertical plate

Abstract

An analysis of a laminar mixed convection boundary-layer flow of an optically dense viscous fluid along a highly heated permeable vertical flat plate in the presence of thermal radiation is performed. The radiative heat flux term is expressed using the Rosseland diffusion approximation. Here, the fluid density is assumed to vary exponentially with temperature. The dimensionless boundary layer equations are reduced to a convenient form by primitive variable transformation and then integrated numerically employing the implicit finite difference method along with the Gaussian elimination technique. Furthermore, the boundary-layer equations are also reduced to a set of nonsimilar equations with the help of the stream function formulation and are simulated by the implicit finite-difference Keller box method. The influence of different physical parameters on the velocity and temperature profiles, as well as on the shear stress and heat transfer rate, is shown and analyzed.