Exact solutions for unsteady unidirectional flows of a generalized second-order fluid through a rectangular conduit

被引：0
作者：
Jianhong Kang
Mingyu Xu
机构：
[1] Shandong University,School of Mathematics, Institute of Applied Mathematics
来源：
Acta Mechanica Sinica | 2009年 / 25卷
关键词：
Generalized second-order fluid; Rectangular conduit; Fractional calculus; Exact solutions;
D O I：
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学科分类号：
摘要：
The exact solutions are obtained for unsteady unidirectional flows of a generalized second-order fluid through a rectangular conduit. The fractional calculus in the constitutive relationship of a non-Newtonian fluid is introduced. We construct the solutions by means of Fourier transform and the discrete Laplace transform of the sequential derivatives and the double finite Fourier transform. The solutions for Newtonian fluid between two infinite parallel plates appear as limiting cases of our solutions.
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页码：181 / 186
页数：5
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