Reduction and solutions for magnetohydrodynamic flow of a sisko fluid in a porous medium

This work describes the exact analytic solutions for magnetohydrodynamic (MHD) unidirectional flow of a Sisko fluid in a semi-infinite porous medium. The governing nonlinear differential equation is obtained by employing reduction, and solutions have been developed using the similarity approach. We also present numerical solutions for the reduced equations. The influence of various parameters of interest is shown and discussed through several graphs. A comparison of the present analysis shows excellent agreement between analytic and numerical solutions.