Analytical treatment of mixed convection flow past vertical flat plate

The problem of steady incompressible mixed convection flow past vertical flat plate has been considered. The velocity and temperature equations for this problem are reduced to set of non-linear ordinary differential equations by appropriate transformation and are solved by optimal homotopy asymptotic method. Results show that this method provides us with a convenient way to control the convergence of approximation series and adjust convergence regions when necessary. It is concluded that increment of the Prandtl number leads to diminishing of the temperature values.