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International Journal of Differential Equations
Volume 2011, Article ID 864023, 13 pages
http://dx.doi.org/10.1155/2011/864023
Research Article

Application of the Homotopy Perturbation Method for Solving the Foam Drainage Equation

Faculty of Mechanical Engineering, Semnan University, Semnan, Iran

Received 8 May 2011; Revised 4 June 2011; Accepted 9 June 2011

Academic Editor: D. D. Ganji

Copyright © 2011 Abdolhosein Fereidoon 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

We use homotopy perturbation method (HPM) to handle the foam drainage equation. Foaming occurs in many distillation and absorption processes. The drainage of liquid foams involves the interplay of gravity, surface tension, and viscous forces. The concept of He's homotopy perturbation method is introduced briefly for applying this method for problem solving. The results of HPM as an analytical solution are then compared with those derived from Adomian's decomposition method (ADM) and the variational iteration method (VIM). The results reveal that the HPM is very effective and convenient in predicting the solution of such problems, and it is predicted that HPM can find a wide application in new engineering problems.