Meccanica

, Volume 47, Issue 3, pp 603–611

On the unsteady rotational flow of a fractional second grade fluid through a circular cylinder

Article

DOI: 10.1007/s11012-010-9373-1

Cite this article as:
Athar, M., Kamran, M. & Imran, M. Meccanica (2012) 47: 603. doi:10.1007/s11012-010-9373-1

Abstract

Here the velocity field and the associated tangential stress corresponding to the rotational flow of a generalized second grade fluid within an infinite circular cylinder are determined by means of the Laplace and finite Hankel transforms. At time t=0 the fluid is at rest and the motion is produced by the rotation of the cylinder around its axis. The solutions that have been obtained are presented under series form in terms of the generalized G-functions. The similar solutions for ordinary second grade and Newtonian fluids are obtained from general solution for β→1, respectively, β→1 and α1→0. Finally, the influences of the pertinent parameters on the fluid motion, as well as a comparison between models, is underlined by graphical illustrations.

Keywords

Generalized second grade fluidVelocity fieldShear stressExact solutions

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Abdus Salam School of Mathematical SciencesGC UniversityLahorePakistan