A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates |
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| Authors: | Tan Wenchang Pan Wenxiao |
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| Affiliation: | a Department of Mechanics and Engineering Science, Peking University, Beijing 100871, People's Republic of China
b Institute of Mathematics and Systematical Science, Shandong University, Jinan 250100, People's Republic of China |
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| Abstract: | The fractional calculus approach in the constitutive relationship model of viscoelastic fluid is introduced. A generalized Maxwell model with the fractional calculus was considered. Exact solutions of some unsteady flows of a viscoelastic fluid between two parallel plates are obtained by using the theory of Laplace transform and Fourier transform for fractional calculus. The flows generated by impulsively started motions of one of the plates are examined. The flows generated by periodic oscillations of one of the plates are also studied. |
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| Keywords: | Viscoelastic fluid Unsteady flow Parallel plate Fractional Maxwell model |
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