MHD mixed convection in micropolar fluid with cross diffusion effects

Abstract

Paper presented to the 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Florida, 14-16 July 2014.This paper analyzes cross diffusion effects on the steady, mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a micropolar fluid in the presence of traverse magnetic field. The governing nonlinear partial differential equations and their associated boundary conditions are transformed into a system of coupled nonlinear ordinary differential equations using a special form of Lie group transformations, namely, the scaling group of transformations and then solved numerically using the implicit finite difference method. The non dimensional velocity, microrotation, temperature and concentration along with the non dimensional rate of heat and mass transfer at the plate are presented graphically for different values of coupling number, magnetic parameter (M), mixed convection parameter (Ri), Soret number (Sr) and Dufour number (Df). In addition, the skin-friction coefficient and the wall couple stress are shown in a tabular form.