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Mathematical Problems in Engineering
Volume 2016, Article ID 2568785, 10 pages
http://dx.doi.org/10.1155/2016/2568785
Research Article

On Combined Effects of Heat Transfer and Chemical Reaction for the Flow through an Asymmetric Channel with Orthogonally Deformable Porous Walls

1Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan
2Department of Mathematics, COMSATS Institute of Information Technology, Attock, Pakistan
3Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
4School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia

Received 19 November 2015; Revised 26 January 2016; Accepted 21 February 2016

Academic Editor: Francesco Franco

Copyright © 2016 Syed Tauseef Mohyud-Din 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 combined effects of heat transfer and chemical reaction are studied for the flow through a semi-infinite asymmetric channel with orthogonally deformable porous walls. The similarity transforms have been used to reduce the conservation laws to a corresponding system of nonlinear ordinary differential equations. The resulting equations are solved, both analytically and numerically, by using Homotopy Analysis Method (HAM) and the fourth-order Runge-Kutta (RK-4) method, respectively. The convergence of the analytical solution is assured through the so-called total squared residual error analysis. The optimal values of auxiliary parameters are obtained by minimizing the total squared residual error.