Unsteady rotating flows of a viscoelastic fluid with the fractional Maxwell model between coaxial cylinders

The fractional calculus is used in the constitutive relationship model of viscoelastic fluid. A generalized Maxwell model with fractional calculus is considered. Based on the flow conditions described, two flow cases are solved and the exact solutions are obtained by using the Weber transform and th...

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Bibliographic Details
Published in:Acta mechanica Sinica 2006-08, Vol.22 (4), p.301-305
Main Authors: Qi, Haitao, Jin, Hui
Format: Article
Language:English
Subjects:
不稳定流分形Maxwell模型
分形微积分
精确解
黏弹性流体
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Summary:The fractional calculus is used in the constitutive relationship model of viscoelastic fluid. A generalized Maxwell model with fractional calculus is considered. Based on the flow conditions described, two flow cases are solved and the exact solutions are obtained by using the Weber transform and the Laplace transform for fractional calculus.
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-006-0013-x