Acta Mechanica Sinica

, Volume 22, Issue 4, pp 301–305

Unsteady Rotating Flows of a Viscoelastic Fluid with the Fractional Maxwell Model Between Coaxial Cylinders

Research Paper

Abstract

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.

Keywords

Viscoelastic fluid Unsteady flow Fractional Maxwell model Exact solution 

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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Department of Applied Mathematics and Statistics, Institute of Applied MathematicsShandong University at WeihaiWeihaiChina
  2. 2.School of Mathematics and Systematical ScienceShandong UniversityJinanChina

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