Analytical solution of magnetohydrodynamics generalized Burger's fluid embedded with porosity

This analysis is devoted to investigate analytical solutions of magnetohydrodynamics (MHD) generalized Burger's fluid embedded with porous medium as a sum of Newtonian and non-Newtonian forms. The solutions are investigated for velocity field and shear stress and governing partial differential equations have been solved via the integral transforms. The solutions for velocity field and shear stress have been expressed into compact form i-e in terms of series form. The general solutions also satisfy initial and boundary condition and particularized for special cases along with sum of Newtonian and non-Newtonian forms. The impacts of permeability (porosity), magnetism and several rheological parameters have been analyzed for fluid flows by portraying graphical illustrations. The graphs are depicted via latest software namely Mathematica and Mathcad (16) packages. (C) 2017 The Authors. Published by IASE.