International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 19, Pages 3185-3194
doi:10.1155/IJMMS.2005.3185
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
Abstract
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.