Analytical Solution to MHD Flow and Heat Transfer of Visco-Elastic Fluid Over an Exponentially Stretching Sheet in Porous Media with Viscous Dissipation

In this paper, we study the heat transfer of MHD visco-elastic fluid flow through porous medium over an exponentially stretching sheet with viscous dissipation. By using suitable similarity transformations the governing partial differential equations are converted into non linear ordinary differential equations. These equations are analytically solved by using Homotopy Analysis Method (HAM). The convergence of the series solution which is obtained in the form of infinite series is discussed explicitly. The effect of various physical parameters like Magnetic parameter, Prandtl number, Eckert number, porosity parameter and visco-elastic parameter on velocity and temperature are discussed and displayed graphically. By increasing Prandtl number, the temperature decreases whereas it increases by increasing Eckert number.