Title: Variational iteration and Adomian decomposition methods for the nonlinear thin film flow of a Jeffrey-six constant fluid on a vertically moving belt

Authors: A.M. Siddiqui; A.A. Farooq; M.A. Rana; B.S. Babcock

Addresses: Department of Mathematics, Pennsylvania State University, York Campus, York, PA 17403–3389, USA ' COMSATS Institute of Information and Technology, Abbottabad, Pakistan; Department of Basic Sciences, Riphah International University, Islamabad, Pakistan ' Department of Basic Sciences, Riphah International University, Islamabad, Pakistan ' Department of Mathematics, Pennsylvania State University, York Campus, York, PA 17403–3389, USA

Abstract: In this paper, we investigate a thin film flow problem that arises in the lifting of a Jeffrey-six constant fluid on a vertically moving belt. The governing nonlinear differential equation is first integrated analytically and then solved by applying both He's variational iteration method (VIM) and Adomian's decomposition method (ADM). The numerical results obtained by these methods are compared through graphs and no visible difference is observed. This study highlights the significant features of the proposed methods and their ability for solving nonlinear problems arising in non-Newtonian fluid mechanics.

Keywords: thin film flow; Jeffrey-six constant fluid; nonlinear boundary value problem; variational iteration method; VIM; Adomian decomposition method; ADM; nonlinear flow; vertically moving belts; non-Newtonian fluid mechanics.

DOI: 10.1504/IJANS.2014.065153

International Journal of Applied Nonlinear Science, 2014 Vol.1 No.3, pp.275 - 288

Received: 07 Oct 2012
Accepted: 02 Jun 2013
Published online: 28 Oct 2014 *

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