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Abstract and Applied Analysis
Volume 2014, Article ID 139314, 12 pages
http://dx.doi.org/10.1155/2014/139314
Research Article

Different Approximations to the Solution of Upper-Convected Maxwell Fluid over a Porous Stretching Plate

1Department of Mechanics and Vibration, University Politehnica Timişoara, 300222 Timişoara, Romania
2Department of Electromechanics and Vibration, Center for Advanced and Fundamental Technical Research, Romania Academy, 300222 Timişoara, Romania
3Department of Mathematics, University Politehnica Timişoara, 300006 Timişoara, Romania
4Department of Applied Electronics, University Politehnica Timişoara, 300223 Timişoara, Romania

Received 14 March 2014; Revised 29 May 2014; Accepted 29 May 2014; Published 6 July 2014

Academic Editor: Dragos-Patru Covei

Copyright © 2014 Vasile Marinca 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

In the present paper, we consider an incompressible magnetohydrodynamic flow of two-dimensional upper-convected Maxwell fluid over a porous stretching plate with suction and injection. The nonlinear partial differential equations are reduced to an ordinary differential equation by the similarity transformations and taking into account the boundary layer approximations. This equation is solved approximately by means of the optimal homotopy asymptotic method (OHAM). This approach is highly efficient and it controls the convergence of the approximate solutions. Different approximations to the solution are given, showing the exceptionally good agreement between the analytical and numerical solutions of the nonlinear problem. OHAM is very efficient in practice, ensuring a very rapid convergence of the solutions after only one iteration even though it does not need small or large parameters in the governing equation.