Zeitschrift für angewandte Mathematik und Physik ZAMP

, Volume 56, Issue 6, pp 1098–1106

On some axial Couette flows of non-Newtonian fluids

Original Paper

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.

Mathematics Subject Classification (2000).

76A05 

Keywords.

Couette flows second grade fluid Maxwell fluid velocity field tangential tensions constantly accelerating cylinder 

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Copyright information

© Birkhäuser Verlag, Basel 2005

Authors and Affiliations

  1. 1.Department of MathematicsTechnical University of IasiIasiRomania
  2. 2.Department of Theoretical MechanicsTechnical University of IasiIasiRomania

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