Application of Optimal Homotopy Asymptotic Method to solve MHD Jeffery-Hamel Flows in Non-parallel Walls by using Galerkin Method

In this paper, Optimal Homotopy Asymptotic Method (OHAM) is combined with Galerkin method to investigate the MHD Jeffery-Hamel flows in non-parallel walls for strongly nonlinear ordinary differential equations. Results for velocity profiles in divergent and convergent channels for various values of Hartmann and Reynolds numbers are compared with numerical method (the Runge-Kutta method of order 4). The results confirm the notion that the OHAM method is a powerful and efficient technique for finding exact solutions for differential equations which have great significance in different fields of science and engineering. Also, it can be found that increasing Hartmann number will lead to backflow reduction.