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

作　　者：Haitao Qi Hui Jin 

机构地区：[1]Department of Applied Mathematics and Statistics, Institute of Applied Mathematics, Shandong University at Weihai, Weihai 264209, Shandong, China [2]School of Mathematics and Systematical Science, Shandong University, Jinan 250100, Shandong, China

出　　处：《Acta Mechanica Sinica》2006年第4期301-305,共5页力学学报（英文版）

基　　金：The project supported by the National Natural Science Foundation of China (10272067, 10426024);the Doctoral Program Foundation of the Education Ministry of China (20030422046);the Natural Science Foundation of Shandong University at Weihai.

摘　　要：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.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.

关 键 词：Viscoelastic fluid Unsteady flow Fractional Maxwell model Exact solution 

分 类 号：O357[理学—流体力学]