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Zbl 1096.76003
Fetecau, Constantin; Fetecau, Corina
On some axial Couette flows of non-Newtonian fluids. (English)
[J] Z. Angew. Math. Phys. 56, No. 6, 1098-1106 (2005). ISSN 0044-2275; ISSN 1420-9039/e

Summary: 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 vanishing non-Newtonian material constants, 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 time and material constants.

MSC 2000:: *76A05 Non-Newtonian fluids
76A10 Viscoelastic fluids

Keywords: second-grade fluid; Maxwell fluid; Fourier-Bessel series

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