Author(s)

N. T. El-Dabe¹, A. Y. Ghaly¹, R. R. Rizkallah¹, K. M. Ewis², A. 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 problem of magnetohydrodynamic (MHD) micropolar fluid flow with heat and mass transfer towards a stagnation point on a vertical plate. In this study, we consider both strong concentrations (n = 0) and weak concentrations (n = 1/2). The governing equations have been transformed into nonlinear ordinary differential equations by applying the similarity transformation and have been solved numerically by using the finite difference method (FDM) and analytically by using (DTM). The effects of various governing parameters, namely, material parameter, radiation parameter, magnetic parameter, Prandtl number, Schmidt number, chemical reaction parameter and Soret number on the velocity, microrotation, temperature and concentration have been computed and discussed in detail through some figures and tables. 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) and the multi-step differential transform method (MDTM). It is observed that this approximate numerical solution is in good agreement with the analytical solution.

Finite Difference Method (FDM), Differential Transform Method (DTM), Micropolar Fluid, MHD, Heat and Mass Transfer, Stagnation Flow, Chemical Reaction, Radiation

El-Dabe, N. , Ghaly, A. , Rizkallah, R. , Ewis, K. and Al-Bareda, A. (2015) Numerical Solution of MHD Flow of Micropolar Fluid with Heat and Mass Transfer towards a Stagnation Point on a Vertical Plate. American Journal of Computational Mathematics, 5, 158-174. doi: 10.4236/ajcm.2015.52013.