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

被引：0
作者：
Haitao Qi
Hui Jin
机构：
[1] Shandong University at Weihai,Department of Applied Mathematics and Statistics, Institute of Applied Mathematics
[2] Shandong University,School of Mathematics and Systematical Science
来源：
Acta Mechanica Sinica | 2006年 / 22卷
关键词：
Viscoelastic fluid; Unsteady flow; Fractional Maxwell model; Exact solution;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：301 / 305
页数：4
相关论文
共 32 条
[1]  
Friedrich C.(1991)Relaxation and retardation functions of the Maxwell model with fractional derivatives Rheol. Acta 30 151-158
[2]  
Xu M.Y.(2003)Representation of the constitutive equation of viscoelastic materials by the generalized fractional element networks and its generalized solutions Sci. China Ser. G 46 145-157
[3]  
Tan W.C.(1997)Analysis of general second-order fluid flow in double cylinder rheometer Sci. China Ser. A 40 183-190
[4]  
Huang J.Q.(2001)Theoretical analysis of the velocity field, stress field and vortex sheet of generalized second order fluid with fractional anomalous diffusion Sci. China Ser. A 44 1387-1399
[5]  
He G.Y.(2002)An exact solution of unsteady Couette flow of generalized second grade fluid Chin. Sci. Bull. 47 1783-1785
[6]  
Liu C.Q.(2002)The impulsive motion of flat plate in a general second grade fluid Mech. Res. Comm. 29 3-9
[7]  
Xu M.Y.(2004)Unsteady flows of a generalized second grade fluid with the fractional derivative model between two parallel plates Acta Mech. Sin. 20 471-476
[8]  
Tan W.C.(2004)Decay of vortex and diffusion of temperature in a generalized second grade fluid Appl. Math. Mech. 25 1151-1159
[9]  
Tan W.C.(2002)Plane surface suddenly set in motion in a viscoelastic fluid with fractional Maxwell model Acta Mech. Sinica 18 342-349
[10]  
Xian F.(2003)A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates Int. J. Nonlin. Mech. 38 645-650
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