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1. Axial Couette Flow of Two Kinds of Fractional Viscoelastic | |||
Wang Shaowei,Xu Mingyu | |||
Mechanics 30 October 2006 | |||
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Abstract: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. | |||
TO cite this article: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 |
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