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

First Online: 21 June 2006 Received: 01 September 2005 Revised: 18 April 2006 Accepted: 19 April 2006 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 fluid Unsteady flow Fractional Maxwell model Exact solution The project supported by the National Natural Science Foundation of China (10272067, 10426024), the Doctoral Program Foundation of the Education Ministry of China (20030422046) and the Natural Science Foundation of Shandong University at Weihai. The English text was polished by Keren Wang.

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MATH Authors and Affiliations 1. Department of Applied Mathematics and Statistics, Institute of Applied Mathematics Shandong University at Weihai Weihai China 2. School of Mathematics and Systematical Science Shandong University Jinan China