Table of Contents
Journal of Computational Engineering
Volume 2014 (2014), Article ID 102197, 11 pages
http://dx.doi.org/10.1155/2014/102197
Research Article

A Modified Homotopy Perturbation Transform Method for Transient Flow of a Third Grade Fluid in a Channel with Oscillating Motion on the Upper Wall

Centre for Research in Computational Mathematics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn, 86400 Batu Pahat, Johor, Malaysia

Received 20 January 2014; Revised 19 June 2014; Accepted 19 June 2014; Published 17 July 2014

Academic Editor: Clement Kleinstreuer

Copyright © 2014 Mohammed Abdulhameed 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

A new analytical algorithm based on modified homotopy perturbation transform method is employed for solving the transient flow of third grade fluid in a porous channel generated by an oscillating upper wall. This method incorporates the He’s polynomial into the HPM, combined with Laplace transform. Comparison with HPM and OHAM analytical solutions reveals that the proposed algorithm is highly accurate. This proves the validity and great potential of the proposed algorithm as a new kind of powerful analytical tool for transient nonlinear problems. Graphs representing the solutions are discussed, and appropriate conclusions are drawn.