Author(s)

Nabil T. El-Dabe¹, Ahmed Y. Ghaly¹, Raafat R. Rizkallah¹, Karem M. Ewis², Ameen S. Al-Bareda^1*

¹Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt.
²Department of Engineering Mathematics and Physics, Faculty of Engineering, El-Fayoum University, El-Fayoum, Egypt.

The paper investigates the numerical solution of the magnetohydrodynamics (MHD) boundary layer flow of non-Newtonian Casson fluid on a moving wedge with heat and mass transfer. The effects of thermal diffusion and diffusion thermo with induced magnetic field are taken in consideration. The governing partial differential equations are transformed into nonlinear ordinary differential equations by applying the similarity transformation and solved numerically by using finite difference method (FDM). The effects of various governing parameters, on the velocity, temperature and concentration are displayed through graphs and discussed numerically. In order to verify the accuracy of the present results, we have compared these results with the analytical solutions by using the differential transform method (DTM). It is observed that this approximate numerical solution is in good agreement with the analytical solution. Furthermore, comparisons of the present results with previously published work show that the present results have high accuracy.

Casson Fluid, Induced Magnetic Field, Boundary Layer, Moving Wedge, Radiation, Soret and Dufour Effects

El-Dabe, N. , Ghaly, A. , Rizkallah, R. , Ewis, K. and Al-Bareda, A. (2015) Numerical Solution of MHD Boundary Layer Flow of Non-Newtonian Casson Fluid on a Moving Wedge with Heat and Mass Transfer and Induced Magnetic Field. Journal of Applied Mathematics and Physics, 3, 649-663. doi: 10.4236/jamp.2015.36078.