Mathematical Problems in Engineering 
Volume 2004 (2004), Issue 2, Pages 133-143
doi:10.1155/S1024123X04309014

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 17403, PA, USA
Received 1 September 2003; Revised 9 February 2004

Abstract

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.