Unsteady flows of Oldroyd-B fluids in a channel of rectangular cross-section |
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| Authors: | C. Fetecau Corina Fetecau |
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| Affiliation: | a Department of Mathematics, Technical University of Iasi, Iasi 700506, Romania
b Department of Theoretical Mechanics, Technical University of Iasi, Iasi 700506, Romania |
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| Abstract: | The aim of this note is to present the exact solutions corresponding to two types of unsteady flows of an Oldroyd-B fluid in a channel of rectangular cross-section. The solutions that have been obtained satisfy both the associate partial differential equations and all imposed initial and boundary conditions. For λr or λ→0 they tend toward similar solutions for a Maxwell or second-grade fluid. If both λr and λ→0, the solutions for Navier-Stokes fluids are recovered. |
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| Keywords: | Oldroyd-B fluid Unsteady flows Velocity field Volume flux |
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