Optimal homotopy asymptotic method with application to thin film flow

Vasile Marinca; Nicolae Herişanu; Iacob Nemeş

doi:10.2478/s11534-008-0061-x

Open Access Published by De Gruyter Open Access July 17, 2008

Optimal homotopy asymptotic method with application to thin film flow

Vasile Marinca , Nicolae Herişanu and Iacob Nemeş

From the journal Open Physics

https://doi.org/10.2478/s11534-008-0061-x

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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Published Online: 2008-7-17

Published in Print: 2008-9-1

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Optimal homotopy asymptotic method with application to thin film flow

Abstract

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