Effect of Brownian Motion and Thermophoresis on Heat and Mass Transfer of a Three- Dimensional Casson Fluid Flow Over a Stretching Sheet with Velocity Slip

This paper provides a numerical investigation on the effect of Brownian motion on the heat and mass transfer of a steady laminar MHD three-dimensional, Casson fluid flow over a surface which is stretched linearly in two lateral direction with convective surface boundary conditions. The governing Partial Differential Equations of the flow are transformed into a highly nonlinear coupled Ordinary Differential Equations (ODEs) consisting of continuity, momentum, energy and concentration equations via a suitable similarity variables. The resulting system of ODEs are solved using Finite Element Methods (FEM). The influence of the embedded parameters such as Prandtl, Porosity, thermal radiation, Brownian motion, Thermophoresis, Lewis number, Biot number are presented on the velocity, temperature and concentration. The effects of local skin friction coefficients, local Nusselt and Sherwood numbers are also obtained and presented. The result obtained favourably agreed with the existing ones.