Solution of the steady thin film flow of non-Newtonian fluid on vertical cylinder using Adomian Decomposition Method

被引：18

作者：

Alam, M. K. ^{[1
]}

Rahim, M. T. ^{[1
]}

Avital, E. J. ^{[2
]}

Islam, S. ^{[3
]}

Siddiqui, A. M. ^{[4
]}

Williams, J. J. R. ^{[2
]}

机构：

[1] Natl Univ Comp & Emerging Sci, Peshawar, Pakistan

[2] Queen Mary Univ London, Sch Engn & Mat Sci, London, England

[3] Abdul Wali Khan Univ, Dept Math, Mardan, Pakistan

[4] Penn State Univ, New York, PA 17403 USA

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2013年 / 350卷 / 04期

关键词：

JOHNSON-SEGALMAN FLUID; HOMOTOPY PERTURBATION METHOD; RELIABLE TREATMENT;

D O I：

10.1016/j.jfranklin.2013.01.010

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the steady thin film flow on the outer surface of long vertical cylinder of non-Newtonian Johnson Segalman fluid for lifting and drainage problems have been investigated. Adomian decomposition (ADM) and numerical methods are applied for the solutions of the non-linear problems. Expressions for the velocity field and average velocity have been derived for both the problems, respectively. For Weissenberg number W-e = 0, we retrieve Newtonian cases for both the problems. We also obtain the results for Maxwell fluid by taking slip parameter a=1. We also discussed the effect of the Stokes number S-t, the Weissenberg number W-e, the ratio of viscosities phi and the slip parameter a on the fluid flows. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：818 / 839

页数：22

共 25 条

[1] Improved Adomian decomposition method (solving nonlinear non-homogenous initial value problem) [J].