CONECTIVE DIFFUSIVE TRANSPORT WITH CHEMICAL REACTION IN NATURAL CONVECTION IN A POROUS MEDIUM

Abstract

The present work is concerned with the natural convection flow in the presence of a vertical plate in a fluid-saturated porous medium, driven by a chemical reaction and diffusion. The reaction-rate term is modelled in this study by a power-law model. Performing a suitable change of variables, the problem is reduced to a set of nonlinear ordinary differential equations, which are solved using a regular perturbation technique. The parameters of the reduced problem are the Lewis number and the order of the chemical reaction. Detailed discussions of the obtained results are presented, in terms of: a) stream function and concentration variations within the boundary layer and b) wall shear-stress, when the two parameters are varied. Comparisons with the analogue problem in clear fluids are also provided.