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On some axial Couette flows of non-Newtonian fluids. (English) Zbl 1096.76003
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:
76A05Non-Newtonian fluids
76A10Viscoelastic fluids