MHD flow with heat and mass transfer of Williamson nanofluid over stretching sheet through porous medium

Two-dimensional hydromagnetic flow of an incompressible Williamson nanofluid over a stretching sheet in a porous media is examined during this work. Convective heat and mass transfer in the presence of Dufour, Soret, radiation absorption, heat generation, viscous dissipation, chemical reaction, Brownain motion and thermophoresis effects are taken in consideration. The system of partial differential equations which describe the momentum, energy and nanofluid solid volume fraction equations of the fluid is transformed to an ordinary differential equations by using the suitable transformations. Then these equations have been solved numerically using Runge-Kutta method of order four with shooting technique. The effects of various physical parameters on dimensionless velocity, temperature, nanoparticle volume fraction, as well as the skin friction, local Nusselt and local Sherwood numbers are analyzed and presented graphically.