International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 60, Pages 3797-3807
doi:10.1155/S0161171203212357

Unsteady stagnation point flow of a non-Newtonian second-grade fluid

F. Labropulu,1 X. Xu,2 and M. Chinichian3

1Department of Mathematics, Luther College, University of Regina, Saskatchewan, Regina S4S 0A2, Canada
2Department of Civil Engineering, University of Waterloo, Ontario, Waterloo N2L 3G1, Canada
3Faculty of Engineering, University of Regina, Saskatchewan, Regina S4S 0A2, Canada

Received 5 December 2002

Copyright © 2003 F. Labropulu 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.

Abstract

The unsteady two-dimensional flow of a viscoelastic second-grade fluid impinging on an infinite plate is considered. The plate is making harmonic oscillations in its own plane. A finite difference technique is employed and solutions for small and large frequencies of the oscillations are obtained.