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

DOI: 10.1007/s00033-005-4034-2

Cite this article as:
Fetecau, C. & Fetecau, C. Z. angew. Math. Phys. (2005) 56: 1098. doi:10.1007/s00033-005-4034-2


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).



Couette flowssecond grade fluidMaxwell fluidvelocity fieldtangential tensionsconstantly accelerating cylinder

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