International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 19, Pages 3185-3194

A note on an unsteady flow of an Oldroyd-B fluid

C. Fetecau1 and K. Kannan2

1Department of Mathematics, Technical University of Işai, Işai 6600, Romania
2Department of Mechanical Engineering, Texas A&M University, College Station 77843, USA

Received 5 March 2005; Revised 5 June 2005

Copyright © 2005 C. Fetecau and K. Kannan. 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 velocity fields and the associated tangential tractions corresponding to the flow induced by a flat plate that applies a specified stress in an Oldroyd-B fluid are determined by means of Fourier cosine transforms. The solutions corresponding to a Maxwell, second-grade, and Navier-Stokes fluid appear as limiting cases of the solutions established here.