International Journal of Mathematics and Mathematical Sciences
Volume 30 (2002), Issue 5, Pages 271-282
doi:10.1155/S0161171202109185
Generalized Beltrami flows and other closed-form solutions of
an unsteady viscoelastic fluid
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.
Abstract
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.