Flow of a second grade fluid through a cylindrical permeable tube


Ozer S. S. , SUHUBI E. S.

APPLIED MATHEMATICS AND COMPUTATION, vol.179, no.2, pp.672-687, 2006 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 179 Issue: 2
  • Publication Date: 2006
  • Doi Number: 10.1016/j.amc.2005.12.008
  • Title of Journal : APPLIED MATHEMATICS AND COMPUTATION
  • Page Numbers: pp.672-687

Abstract

In the present work, a second grade fluid flow in a cylindrical tube is investigated. The perturbations were expanded in terms of the second order material coefficient, which means that either the second order parameter is sufficiently small or the characteristic diameter is very large. After obtaining the solutions for the impermeable tube, problem is examined for suction or injection through the surfaces of the tube. The general solutions are obtained for a tube of circular cross-section and also applied to a tube of arbitrary cross-section by using conformal transformation. (c) 2005 Elsevier Inc. All rights reserved.