Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder

被引：114
|
作者：
Siddiqui, AM
Mahmood, R
Ghori, QK
机构：
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
[2] Penn State Univ, Dept Math, York, PA 17403 USA
来源：
PHYSICS LETTERS A | 2006年 / 352卷 / 4-5期
关键词：
thin film flow; fourth grade fluid; perturbation method; homotopy perturbation method;
D O I：
10.1016/j.physleta.2005.12.033
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The present Letter applies the homotopy perturbation method and the traditional perturbation method to obtain analytic approximations of the non-linear equations modeling thin film flow of a fourth grade fluid falling on the outer surface of an infinitely long vertical cylinder. Expressions for the velocity, volume flux and average velocity are obtained. Comparison of the results obtained by the two methods reveal that homotopy perturbation method is more effective and easy to use. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：404 / 410
页数：7
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