Exact solutions using symmetry methods and conservation laws for the viscous flow through expanding-contracting channels

被引：24

作者：

Asghar, S. ^{[3
]}

Mushtaq, M. ^{[3
]}

Kara, A. H. ^{[1
,2
]}

机构：

[1] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa

[2] Univ Witwatersrand, Ctr Differential Equat Continuum Mech & Applicat, ZA-2050 Johannesburg, South Africa

[3] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan

来源：

APPLIED MATHEMATICAL MODELLING | 2008年 / 32卷 / 12期

关键词：

exact solutions; using symmetry methods; conservation laws; expanding-contracting channels;

D O I：

10.1016/j.apm.2007.10.006

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We present a range of definitions and methods dealing with the reduction of partial differential equations on the basis of the underlying symmetry structure, conservation laws and a combination of these. The method is used to reduce a complex system to an easy-to-handle second-order ordinary differential equation system independent of restrictions on any physical parameters. In particular, we construct exact solutions of a system modelling viscous flow between slowly expanding and contracting walls. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：2936 / 2940

页数：5

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