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Mathematical Problems in Engineering
Volume 2016, Article ID 4017076, 12 pages
http://dx.doi.org/10.1155/2016/4017076
Research Article

Analytical and Numerical Study on Magnetoconvection Stagnation-Point Flow in a Porous Medium with Chemical Reaction, Radiation, and Slip Effects

1School of Engineering, Asia Pacific University of Technology and Innovation, 57000 Kuala Lumpur, Malaysia
2Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur, Malaysia
3Department of Mechanical Engineering, University of Malaya, 50603 Kuala Lumpur, Malaysia

Received 24 December 2015; Revised 19 March 2016; Accepted 27 March 2016

Academic Editor: Vassilios C. Loukopoulos

Copyright © 2016 H. Niranjan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We investigate the effects of slip and radiation on magnetoconvection flow of a chemically reacting fluid near a stagnation-point towards a vertical plate embedded in a porous medium analytically and numerically. The governing partial differential equations are diminished into the coupled ordinary differential equations by similarity transformations. Then they are solved analytically by homotopy analysis method and solved numerically by shooting method with RK fourth-order method. In this study, the analytical and numerical results are compared for many combinations of parameters. The rates of heat and mass transfer are calculated. The velocity profile near the plate overshoots on increasing the slip parameter. The concentration and temperature are decreasing on increasing the slip parameter.