Acta Mechanica

, Volume 189, Issue 1, pp 53–63

On some helical flows of Oldroyd-B fluids

Article

DOI: 10.1007/s00707-006-0407-7

Cite this article as:
Fetecau, C., Fetecau, C. & Vieru, D. Acta Mechanica (2007) 189: 53. doi:10.1007/s00707-006-0407-7

Summary

In this study the velocity fields and the associated tangential stresses corresponding to some helical flows of Oldroyd-B fluids between two infinite coaxial circular cylinders and within an infinite circular cylinder are determined in forms of series in terms of Bessel functions. At time t = 0 the fluid is at rest and the motion is produced by the combined action of rotating and sliding cylinders. The solutions that have been obtained satisfy the governing differential equations and all imposed initial and boundary conditions. For λr = 0, λ = 0 or λr = λ = 0 they reduce to the similar solutions for a Maxwell, second grade or Newtonian fluid, respectively. Finally, for comparison, the velocity profiles corresponding to the four models are plotted for different values of t.

Copyright information

© Springer-Verlag Wien 2006

Authors and Affiliations

  1. 1.Department of MathematicsTechnical University “Gh. Asachi”Iasi
  2. 2.Department of Theoretical MechanicsTechnical University “Gh. Asachi”IasiRomania