Combined Influence of Thermal Radiation and Radiation Absorption on MHD Mixed Convective Heat and Mass Transfer Flow in Circular Annulus

Abstract

The aim of the problem is to analyze theoretically the combined effects of thermal radiation and radiation absorption on hydromagnetic Brinkman-Forchhimer mixed convection flow of optically dense fluid flow under the influence of magnetic field and chemical reaction on through a vertical circular annulus filled with a saturated porous medium. The outer cylinder is maintained at constant heat flux while the inner cylinder is at a constant temperature. Based on the assumptions, the nonlinear model equations of momentum, energy and species concentration balance are obtained and tacked numerically using an efficient implicit Galerkin finite element method with quadratic polynomial approximation technique. The behavior of velocity, temperature and concentration is analyzed for different parametric values at different axial positions numerically. The local skin friction, local Nusselt number and local Sherwood number are illustrated to show interesting features of the solution.

Keywords: Heat & Mass Transfer; Thermal Radiation; Radiation absorption; Soret and Dufour effects; Concentric Annulus; Chemical reaction.