Mathematical Expressions of Heat Transfer to MHD Oscillatory Flow and Homotopy Analysis Method

Abstract

In this research paper we determine the combined effect of a transverse magnetic field and radiative heat transfer to unsteady flow of a conducting optically thin fluid through a channel filled with saturated porous medium and non-uniform walls temperature. The governing dimensionless equations are solved analytically and graphically. The approximate analytical expressions for the dimensionless axial velocity and temperature are obtained using the Homotopy analysis method. Also the analytical expressions for the shear stress function and the rate of heat transfer are also derived. The Homotopy analysis method has proven to be the best for solving complicated non-linear differential equations in MHD flow problems in engineering and applied sciences.