Effect of Viscous Dissipation on Double Stratified MHD Free Convection in Micropolar Fluid Flow in Porous Media with Chemical Reaction, Heat Generation and Ohmic Heating

Abstract

This present paper deals with the study of heat and mass transfer characteristics of the free convection on a vertical plate in porous media with variable wall temperature and concentration in a doubly stratified and viscous dissipating micropolar fluid in presence of chemical reaction, heat generation and Ohmic heating. A uniform magnetic field is applied normal to the plate. The governing non-linear partial differential equations are transformed into a system of non-linear ordinary differential equations using similarity transformations and then solved numerically using the Runge-Kutta-Fehlberg method with shooting technique. Effects of viscous dissipation on non-dimensional velocity, microrotation, temperature and concentration are presented graphically. An increase in Eckert number (which is measure of viscous dissipation) increases the velocity, temperature and microrotation, but decreases the concentration.

Keywords: Chemical reaction, Double stratification, Free convection, MHD, Micropolar fluids, Porous media, Heat generation, Ohmic heating.

MATHEMATICS SUBJECT CLASSIFICATION: 76A05; 76E06; 76S05; 80A20.