Application of Differential Constraints Method on Solving Exact Solutions of a Second-Grade Fluid

ZHANG Dao-xiang; FENG Su-xiao; LU Zhi-ming; LIU Yu-lu

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(4): 379-387

ZHANG Dao-xiang, FENG Su-xiao, LU Zhi-ming, LIU Yu-lu. Application of Differential Constraints Method on Solving Exact Solutions of a Second-Grade Fluid[J]. Applied Mathematics and Mechanics, 2009, 30(4): 379-387.

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Application of Differential Constraints Method on Solving Exact Solutions of a Second-Grade Fluid

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;

Received Date: 2008-02-19
Rev Recd Date: 2009-02-13
Publish Date: 2009-04-15

Abstract

Abstract

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

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References(29)

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