Analytical solution of MHD slip flow past a constant wedge within a porous medium using DTM-Padé

摘要

The objective of present study is to investigate the two-dimensional magnetohydrodynamic (MHD) flow of a viscous fluid over a constant wedge immersed in a porous medium with velocity slip condition. The flow is induced by suction/injection and also by the mainstream flow that is assumed to vary in a power-law manner with co-ordinate distance along the boundary. Similarity transformations are used to convert the governing nonlinear boundary layer equations into a third order Falkner–Skan equation. This equation is solved analytically by using a novel analytical method called DTM-Padé technique which is a combination of the differential transformation method and the Padé approximation. This method is applied to give solutions of equation with boundary condition at infinity. Graphical results are presented to investigate the effects of the velocity slip parameter, Hartmann number, permeability, suction/injection parameter and nonlinear pressure gradient on the flow-field. Further, the results of the present analysis have been compared with the corresponding results available in literature. Our results have been found in excellent agreement.