Analytical study on steady free convection and mass transfer flow of a conducting micropolar fluid

In this article a mathematical analysis of steady free convection and mass transfer flow of a conducting micropolar fluid between two vertical walls in the presence of transverse magnetic field is discussed. The approximate analytical expressions of the dimensionless velocity profile, dimensionless micro rotation profile, dimensionless temperature and the dimensionless concentration are derived analytically and graphically by using the Homotopy analysis method. The effect of vortex viscosity, material parameter, chemical reaction, heat source/sink parameter are discussed and presented through graphs. The Homotopy analysis method contains the convergence control parameter h, so it can be easily extended to solve the other non-linear initial and boundary value problems in other mathematical sciences.