Mathematical Problems in Engineering
Volume 2004 (2004), Issue 2, Pages 133-143

The flow of a non-Newtonian fluid induced due to the oscillations of a porous plate

S. Asghar,1 M. R. Mohyuddin,2 T. Hayat,2 and A. M. Siddiqui3

1Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad 22010, Pakistan
2Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
3Department of Mathematics, Pennsylvania State University, York Campus, York, PA 17403, USA

Received 1 September 2003; Revised 9 February 2004

Copyright © 2004 S. Asghar 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.


An analytic solution of the flow of a third-grade fluid on a porous plate is constructed. The porous plate is executing oscillations in its own plane with superimposed injection or suction. An increasing or decreasing velocity amplitude of the oscillating porous plate is also examined. It is also shown that in case of third-grade fluid, a combination of suction/injection and decreasing/increasing velocity amplitude is possible as well. Several limiting situations with their implications are given and discussed.