On some axial Couette flows of non-Newtonian fluids |
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Authors: | Constantin Fetecau Corina Fetecau |
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Affiliation: | (1) Department of Mathematics, Technical University of Iasi, Iasi, 6600, Romania;(2) Department of Theoretical Mechanics, Technical University of Iasi, Iasi, 6600, Romania |
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Abstract: | The velocity fields corresponding to some flows of second grade and Maxwell fluids, induced by a circular cylinder subject to a constantly accelerating translation along its symmetry axis, are presented as Fourier-Bessel series in terms of the eigenfunctions of some suitable boundary value problems. These solutions satisfy both the associate partial differential equations and all imposed initial and boundary conditions. For α or λ → 0, they are going to those for a Newtonian fluid. Finally, for comparison, some diagrams corresponding to the solutions for the flow through a circular cylinder are presented for different values of t and of the material constants. Received: March 18, 2004; revised: October 28, 2004 |
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Keywords: | 76A05 |
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