Steady flow of a fourth grade fluid in a porous medium

In this paper, the flow of a fourth grade fluid past a porous plate is studied. The flow equations are modelled based on modified Darcy's law. An analytic solution of the highly nonlinear problem is obtained by the homotopy analysis method (HAM). The convergence of the series solution is checked. The variation of velocity profiles in the presence of porous medium effects is discussed through graphs. It is noted that such series solution is only possible in the case of suction.