Mathematical Problems in Engineering
Volume 2004 (2004), Issue 4, Pages 347-376
Peristaltic transport of an Oldroyd-B fluid in a planar channel
1Department of Mechanics, Darmstadt University of Technology, Hochschulstraße 1, Darmstadt 64289, Germany
2Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
3Department of Mathematics, Pennsylvania State University, York Campus, York, PA 17403, USA
Received 5 June 2003; Revised 20 May 2004
Copyright © 2004 T. Hayat et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The effects of an Oldroyd-B fluid on the peristaltic mechanism are examined under the long wavelength assumption. Analytical expressions for the stream function, the axial velocity, and the pressure rise per wavelength are obtained up to the second order in the dimensionless wave number. The effects of the various parameters of interest on the flow are shown and discussed.