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Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Feng, Jonathan

Managing Editor: Lesna-Szreter, Paulina


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Optimal homotopy asymptotic method with application to thin film flow

1Department of Mechanics and Vibration, Politehnica University of Timişoara, Bd. Mihai Viteazu 1, 300222, Timişoara, Romania

© 2008 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. (CC BY-NC-ND 3.0)

Citation Information: Open Physics. Volume 6, Issue 3, Pages 648–653, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/s11534-008-0061-x, July 2008

Publication History

Published Online:
2008-07-17

Abstract

A new approximate analytical technique to address for non-linear problems, namely Optimal Homotopy Asymptotic Method (OHAM) is proposed and has been applied to thin film flow of a fourth grade fluid down a vertical cylinder. This approach however, does not depend upon any small/large parameters in comparison to other perturbation method. This method provides a convenient way to control the convergence of approximation series and allows adjustment of convergence regions where necessary. The series solution has been developed and the recurrence relations are given explicitly. The results reveal that the proposed method is very accurate, effective and easy to use.

PACS: 47.50.-d; 04.25.-g; 47.20.Ky; 47.15.gm

Keywords: Optimal Homotopy Asymptotic Method (OHAM); thin film flow; fourth grade fluid

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