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Unsteady flow of viscoelastic fluid with fractional Maxwell model in a channel |
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| Authors: | Haitao Qi Mingyu Xu |
| Institution: | aDepartment of Applied Mathematics and Statistics, Shandong University at Weihai, Weihai, 264209, PR China;bSchool of Mathematics and System Science, Shandong University, Jinan, 250100, PR China |
| Abstract: | The unsteady flow of viscoelastic fluid with the fractional derivative Maxwell model (FDMM) in a channel is studied in this note. The exact solutions are obtained for an arbitrary pressure gradient by means of the finite Fourier cosine transform and the Laplace transform. Two special cases of pressure gradient are discussed. Some results given by the classical models with integer-order are included in this note. |
| Keywords: | Viscoelastic fluid Unsteady channel flow Fractional Maxwell model Exact solution |
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