Heat and mass transfer of casson nanofluid flow over as tretching sheet in the presence of magnetic field with brownian and thermophoretic effects

We study heat and mass transfer on the flow of an electrically conducting, incompressible Casson nanofluid over the accelerated stretching plate in the presence of a magnetic field. We consider the nanofluid, which incorporates the flow effects of Brownian motion and thermophoresis. In addition, we take the convective boundary condition, slip parameter, Soret and Dufour effects on this paper. We use similarity transformation to convert non-linear partial differential equations into a set of non-linear ordinary differential equations. These ordinary differential equations are solved numerically using the Matlabbvp4c package. We discuss in detail and show graphically the influences of different physical parameters on velocity, temperature and concentration profiles. We observe that when the Casson parameter increases, the velocity field decreases, however, the temperature increases. Furthermore, we obtain the numerical values of the local skin friction coefficient, the local Nusselt and Sherwood numbers for various values of the parameters involved in the model and present these values in tabular form.