Unsteady shear flow of a viscoelastic fluid with the fractional Maxwell model in rectangular tube

Haitao Qi; Mingyu Xu

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Unsteady shear flow of a viscoelastic fluid with the fractional Maxwell model in rectangular tube

Haitao Qi 1 * #,Mingyu Xu 2 *

1.Department of Applied Mathematics and Statistics, Shandong University at Weihai

2.School of Mathematics and Systematical Science, Shandong University

*Correspondence author

#Submitted by

Subject:

Funding: 教育部博士点基金（No.20030422046）

Opened online:17 November 2005

Accepted by: none

Citation: Haitao Qi,Mingyu Xu.Unsteady shear flow of a viscoelastic fluid with the fractional Maxwell model in rectangular tube[OL]. [17 November 2005] http://en.paper.edu.cn/en_releasepaper/content/3678

In this paper, the unsteady flow of a viscoelastic fluid with the fractional derivative Maxwell model in rectangular tube is studied. The exact solutions are then obtained for the equations characterizing flows of such fluids under an arbitrary pressure gradient by the method of integral transforms (Fourier cosine transform and Laplace transform). Two special cases are discussed: flow due to a constant pressure gradient and flow due to a periodic one.

Keywords:Viscoelastic fluid, Unsteady channel flow, Fractional Maxwell model, Fractional calculus

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