Homotopy Analysis Method for the heat transfer of Flow in a Porous Medium Over a Permeable Stretching Wall

This paper aims to present complete analytic solution to boundary layer flow through a porous medium over a stretching porous wall. Homotopy Analysis Method (HAM) has been used to get accurate and complete analytic solution. The analytic solutions of the system of nonlinear ordinary differential equations are constructed in the series form. The convergence of the obtained series solutions is carefully analyzed. The validity of our solutions is verified by the numerical results (fourth-order Runge-Kutta).The temperature profiles are shown and the influence of Reynolds number, wall injection/suction parameter, Prandtl number, power of temperature/heat flux distribution are discussed in detail. Then effects of effective parameters on Nusselt number are investigated.