Effect of Magnetichydrodynamic on unsteady flow and heat transfer upon stretching sheet with non – uniform heat

In this paper we study the effect of magnetichydrodynamic upon the boundary layer flow and heat transfer on a permeable unsteady stretching sheet with non – uniform heat source / sink. It found that the momentum and energy equations are controlled by many different dimensionless parameters such as prandtle number pr , unsteadiness parameter A , constant pressure So , coefficient of the space dependent A* , the temperature dependent B*, and the MHD parameter M . The analytic solutions are obtained by using suitable similarity transformations and homotopy analysis method (HAM). Furthermore, we analysis the effects of all dimensionless number, there are mentioned above, upon the velocity distribution and hest transfer distribution. This study is done through plotting (36) graph by using the Mathematica package.