NEW ANALYTICAL SOLUTION OF STAGNATION POINT FLOW IN A POROUS MEDIUM

In this paper, we propose a reliable algorithm to develop approximate solutions for the problem of the Brinkmann equation governing the two-dimensional stagnation point flow in a porous medium. The governing system of partial differential equations is transformed into an ordinary differential equation. The differential transform method (DTM) is employed to compute an approximation to the solution of the nonlinear differential equation governing the problem in the form of a series with easily computable terms Then, the Pade approximant is applied to the solutions to increase the convergence of a given series. The features of the flow characteristics for different values of the governing parameters are analyzed and discussed. It is shown that the reliability and performance of the DTM is very good in comparison with differential transform method in solving this problem.