International Journal of Mathematics and Mathematical Sciences
Volume 2011 (2011), Article ID 257903, 11 pages
http://dx.doi.org/10.1155/2011/257903
Research Article

Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging Channel

M. Esmaeilpour,1 Naeem Roshan,2 Negar Roshan,3 and D. D. Ganji2

1Department of Mechanical Engineering, Islamic Azad University, Nowshahr-Branch, Nowshahr, Iran
2Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran
3Computer Engineering Department, Amir-Kabir University of Technology, Tehran, Iran

Received 19 December 2010; Accepted 24 March 2011

Academic Editor: Mónica Clapp

Copyright © 2011 M. Esmaeilpour 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

An analytical method, called homotopy perturbation method (HPM), is used to compute an approximation to the solution of the nonlinear differential equation governing the problem of two-dimensional and steady flow of a second-grade fluid in a converging channel. The table and figures are presented for influencing various parameters on the velocity field. The results compare well with those obtained by the numerical method. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.