HOMOTOPY ANALYSIS SOLUTIONS OF MHD FLOW AND HEAT TRANSFER OF A VISCOELASTIC FLUID FLOW OVER AN EXPONENTIALLY STRETCHING SHEET EMBEDDED IN A THERMALLY STRATIFIED MEDIUM

Abstract

MHD boundary layer flow and heat transfer of a viscoelastic fluid over an exponentially stretching sheet embedded in a thermally stratified medium subject to radiation and suction are examined. Using similarity transformation the governing boundary layer non-linear partial differential equations are converted into non-linear ordinary differential equations. Homotopy analysis method (HAM) is applied to get series solution. The convergence of the obtained series solution is discussed explicitly. It is found that the heat transfer rate at the surface increases in presence of thermal stratification. Fluid velocity decreases with increasing magnetic parameter. Fluid velocity decreases with increase of suction parameter. It is noticed that the temperature decreases with increase of suction parameter. Temperature gradient increases considerably with increase of stratification parameter.