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Axial Couette Flow of Two Kinds of Fractional Viscoelastic
Wang Shaowei 1 * #,Xu Mingyu 2 *
1.School of Mathemathics and System Science, Shandong University
2.School of Mathematics and System Science, Shandong University
*Correspondence author
#Submitted by
Subject:
Funding: 国家自然科学基金、教育部博士点基金（No.10272067，20030422046）
Opened online:30 October 2006
Accepted by: none
Citation: Wang Shaowei,Xu Mingyu.Axial Couette Flow of Two Kinds of Fractional Viscoelastic[OL]. [30 October 2006] http://en.paper.edu.cn/en_releasepaper/content/9123
 
 
This paper deals with the unsteady axial Couette flow of fractional second grade fluid (FSGF) and fractional Maxwell fluid (FMF) between two infinitely long concentric circular cylinders. With the help of integral transforms (Laplace transform and Weber transform), generalized Mittag-Leffler function and H-Fox function, we get the analytical solutions of the models. Then we discuss the exact solutions and find some results which have been known as special cases of our solutions. Finally, we analyze the effects of the fractional derivative on the models by use of the numerical results and find that the oscillation exists in the velocity field of FMF.
Keywords:axial Couette flow; fractional second grade fluid; fractional Maxwell fluid; fractional calculus
 
 
 

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