Unsteady flows of a generalized second grade fluid with the fractional derivative model between two parallel plates

被引：0
作者：
Tan, WC [1 ]
Xu, MY
机构：
[1] Peking Univ, Dept Engn Sci & Mech, Beijing 100871, Peoples R China
[2] Peking Univ, State Key Lab Turbulence & Complex Syst Res, Beijing 100871, Peoples R China
[3] Shandong Univ, Inst Math & Systemat Sci, Jinan 250100, Peoples R China
来源：
ACTA MECHANICA SINICA | 2004年 / 20卷 / 05期
关键词：
fractional derivative; unsteady flows; generalized second grade fluid; parallel plates;
D O I：
暂无
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The fractional calculus approach in the constitutive relationship model of a generalized second grade fluid is introduced. Exact analytical solutions are obtained for a class of unsteady flows for the generalized second grade fluid with the fractional derivative model between two parallel plates by using the Laplace transform and Fourier transform for fractional calculus. The unsteady flows are generated by the impulsive motion or periodic oscillation of one of the plates. In addition, the solutions of the shear stresses at the plates are also determined.
引用
收藏
页码：471 / 476
页数：6
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