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

Authors

    • Department of Applied Mathematics and Statistics, Institute of Applied MathematicsShandong University at Weihai
  • Hui Jin
    • School of Mathematics and Systematical ScienceShandong University
Research Paper

DOI: 10.1007/s10409-006-0013-x

Cite this article as:
Qi, H. & Jin, H. Acta Mech Mech Sinica (2006) 22: 301. doi:10.1007/s10409-006-0013-x

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 fluidUnsteady flowFractional Maxwell modelExact solution

Copyright information

© Springer-Verlag 2006