Group classification of unsteady boundary layer equations of a class of non-Newtonian fluids

被引：1

作者：

Yürüsoy, M ^{[1
]}

机构：

[1] Afyon Kocatepe Univ, Dept Mech Educ, TR-03200 Afyon, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 150卷 / 03期

关键词：

group classification; lie groups; non-Newtonian fluids; boundary layer;

D O I：

10.1016/S0096-3003(03)00306-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two dimensional unsteady boundary layer equations of a general model of non-Newtonian fluids were investigated in this study. In this model, the shear stress is taken as an arbitrary function of the velocity gradient. Group classification of the equations with respect to shear stress is done using two different approaches: (1) classical theory (2) equivalence transformations. Both approaches yield identical results. It is found that the principle Lie Algebra extends only for cases of Newtonian and Power-Law flows. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：775 / 783

页数：9

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