Abstract
This article presents a numerical study for the magnetohydrodynamic flow of Casson nanofluid over a stretching sheet through a porous medium under effects each of non-linear thermal radiation, heat generation/absorption, Joule heating and slips boundary conditions. A two-phase nanofluid model is applied to represent the nanofluid mixture. The porous medium is represented via the Darcy model. A similar solution is obtained for the governing equations and a numerical treatment based on the Runge-Kutta method is conducted to the resulting system of equations. In this study, the controlling physical parameters are the Casson fluid parameter beta, the magnetic field M, the non-linear thermal radiation parameter R, the Brownian motion parameter Nb and the thermophoresis parameter Nt. The obtained results revealed that an increase in the Casson parameter, magnetic field parameter and Darcy number reduces the skin friction coefficient while the increase in the non-linear thermal radiation and the heat generation and absorption lead to a decrease in the local Nusselt number.