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

被引：2

作者：

Siddiqui, A. M. ^{[1
]}

Farooq, A. A. ^{[2
,3
]}

Rana, M. A. ^{[3
]}

Babcock, B. S. ^{[1
]}

机构：

[1] Penn State Univ, Dept Math, York Campus, York, PA 17403 USA

[2] COMSATS Inst Informat & Technol, Abbottabad, Pakistan

[3] Riphah Int Univ, Dept Basic Sci, Islamabad, Pakistan

来源：

INTERNATIONAL JOURNAL OF APPLIED NONLINEAR SCIENCE | 2014年 / 1卷 / 03期

关键词：

thin film flow; Jeffrey-six constant fluid; moving belt; nonlinear boundary value problem; variational iteration method; VIM; Adomian decomposition method; ADM;

D O I：

10.1504/IJANS.2014.065153

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：275 / 288

页数：14

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