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Journal of Shanghai University（Natural Science Edition） ›› 2009, Vol. 15 ›› Issue (3): 296-300.

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

D’Alembert Motions for Couple Stress Fluids

FENG Su-Xiao-1, ZHANG Dao-Xiang-1, 2, LEI Zhi-Meng-1, LIU Yu-Liu-1   

  1. 1.Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; 2.College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui, China
  • Online:2009-06-30 Published:2009-06-30

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Abstract:

In this paper, some steady and unsteady solutions of D’Alembert motions for couple stress fluids have been abtained, by assuming that the stream function is a product of a function of space coordinate and a function of time.These exact solutions are helpful to understand the flow properties of couple stress fluids and can be served as accuracy checks for experimental, numerical and asymptotic methods.

Key words: couple stress fluid; D’Alembert motions; inverse method; non-Newtonian fluid

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