Exact solutions for unsteady unidirectional flows of a generalized second-order fluid through a rectangular conduit |
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Authors: | Jianhong Kang Mingyu Xu |
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Institution: | (1) School of Mathematics, Institute of Applied Mathematics, Shandong University, 250100 Jinan, China |
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Abstract: | 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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Keywords: | Generalized second-order fluid Rectangular conduit Fractional calculus Exact solutions |
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