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Mathematical Problems in Engineering
Volume 2012, Article ID 183029, 15 pages
http://dx.doi.org/10.1155/2012/183029
Research Article

Similarity Solutions of MHD Mixed Convection Flow with Variable Reactive Index, Magnetic Field, and Velocity Slip Near a Moving Horizontal Plate: A Group Theory Approach

1Department of Engineering Sciences, PN Engineering College, National University of Sciences & Technology, Karachi 75350, Pakistan
2School of Mathematical Sciences, Universiti Sains Malaysia, Penang 11800, Malaysia
3American International University-Bangladesh, Banani, Dhaka 1213, Bangladesh

Received 9 February 2012; Accepted 7 August 2012

Academic Editor: Eihab M. Abdel-Rahman

Copyright © 2012 W. A. Khan 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

The mixed convection of Newtonian fluid flow along a moving horizontal plate with higher-order chemical reaction, variable concentration reactant, and variable wall temperature and concentration is considered. Velocity slip and the thermal convective boundary conditions are applied at the plate surface. The governing partial differential equations are transformed into similarity equations via dimensionless similarity transformations developed by one-parameter continuous group method. The numerical solutions of the transformed ordinary differential equations are constructed for velocity, temperature and concentration functions, the skin friction factor, the rate of heat, and the rate of mass transfer using an implicit finite difference numerical technique. The investigated parameters are buoyancy parameters , , chemical reaction parameter , suction/injection parameter , velocity slip parameter convective heat transfer parameter , magnetic parameter , Prandtl number Pr and Schmidt number, Sc. Comparison with results from the open literature shows a very good agreement.