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Exact Solution on Unsteady Couette Flow of Generalized Maxwell Fluid with Fractional Derivative
Wang Shaowei * #,Xu Mingyu
Institute of Applied Math, School of Math. 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.No.20030422046;No.10272067）
Opened online:28 September 2005
Accepted by: none
Citation: Wang Shaowei ,Xu Mingyu .Exact Solution on Unsteady Couette Flow of Generalized Maxwell Fluid with Fractional Derivative[OL]. [28 September 2005] http://en.paper.edu.cn/en_releasepaper/content/3071
 
 
In this paper the unsteady Couette flow of a generalized Maxwell fluid with fractional derivative (GMF) is studied. The exact solution is obtained with the help of integral transforms (Laplace transform and Weber transform) and generalized Mittag-Leffler function. It was shown that the distribution and establishment of the velocity is governed by two non-dimensional parameters , b and fractional derivative of the model. The result of classical (Newtonian fluid) Couette flow can be contained as a special case of the result given by this paper, and the decaying of unsteady part of GMF displays power law behavior, which has scale invariance.
Keywords:unsteady Couette flow; generalized Maxwell fluid; fractional calculus; exact solution
 
 
 

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