International Journal of Mathematics and Mathematical Sciences
Volume 30 (2002), Issue 5, Pages 271-282

Generalized Beltrami flows and other closed-form solutions of an unsteady viscoelastic fluid

F. Labropulu

Luther College-Mathematics, University of Regina, Regina, SK S4S 0A2, Canada

Received 10 September 2001

Copyright © 2002 F. Labropulu. 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.


We study flows of an unsteady non-Newtonian fluid by assuming the form of the vorticity a priori. The two forms that have been considered are 2ψ=F(t)ψ+G(t), which is known as the generalized Beltrami flow and 2ψ=f(t)ψ+g(t)y.