Stokes’ first problem for a viscoelastic fluid with the generalized Oldroyd-B model

被引：0
|
作者：
Haitao Qi
Mingyu Xu
机构：
[1] Shandong University at Weihai,Department of Applied Mathematics and Statistics
[2] Shandong University,School of Mathematics and System Science
来源：
Acta Mechanica Sinica | 2007年 / 23卷
关键词：
Generalized Oldroyd-B fluid; Stokes’ first problem; Fractional calculus; Exact solution; Fox ; -function;
D O I：
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学科分类号：
摘要：
The flow near a wall suddenly set in motion for a viscoelastic fluid with the generalized Oldroyd-B model is studied. The fractional calculus approach is used in the constitutive relationship of fluid model. Exact analytical solutions of velocity and stress are obtained by using the discrete Laplace transform of the sequential fractional derivative and the Fox H-function. The obtained results indicate that some well known solutions for the Newtonian fluid, the generalized second grade fluid as well as the ordinary Oldroyd-B fluid, as limiting cases, are included in our solutions.
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页码：463 / 469
页数：6
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