Application of diflerential constraint method to exact solution of second-grade fluid

被引：1

作者：

张道祥 ^{[1
,2
]}

冯素晓 ^{[1
]}

卢志明 ^{[1
]}

刘宇陆 ^{[1
]}

机构：

[1] Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University

[2] College of Mathematics and Computer Science, Anhui Normal University

来源：

AppliedMathematicsandMechanics(EnglishEdition) | 2009年 / 30卷 / 04期

基金：

中国国家自然科学基金;

关键词：

non-Newtonian fluid; differential constraint method; second-grade fluid;

D O I：

暂无

中图分类号：

O358 [射流];

学科分类号：

080103 ; 080704 ;

摘要：

A differential constraint method is used to obtain analytical solutions of a second-grade fluid flow. By using the first-order differential constraint condition, exact solutions of Poiseuille flows, jet flows and Couette flows subjected to suction or blowing forces, and planar elongational flows are derived. In addition, two new classes of exact solutions for a second-grade fluid flow are found. The obtained exact solutions show that the non-Newtonian second-grade flow behavior depends not only on the material viscosity but also on the material elasticity. Finally, some boundary value problems are discussed.

引用

页码：403 / 412

页数：10

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