Finite Element Analysis of Fully Developed Free Convection Flow Heat and Mass Transfer of a MHD / Micropolar Fluid over a Vertical Channel

The present study analyzes the problem of the fully developed natural convection magneto-hydrodynamics micropolar fluid flow of heat and mass transfer in a vertical channel. Asymmetric temperature and convection boundary conditions are applied to the walls of the channel. The cases of double diffusion and Soret-induced connections are both considered. Solutions of the coupled non-linear governing equations are obtained for different values of the buoyancy ratio and various material parameters of the micropolar fluid and magnetic parameters, viscous dissipation. The resulting non-dimensional boundary value problem is solved by the Galerken Finite element method using MATLAB Software. The influence of the governing parameters on the fluid flow as well as heat and solute transfers is demonstrated as significant.