International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 7, Pages 449-475
doi:10.1155/S0161171200001952

Exact solutions of steady plane flows using (r,ψ)-coordinates

F. Labropulu1 and O. P. Chandna2

1Luther College-Mathematics, University of Regina, SK, Regina S4S 0A2, Canada
2Department of Mathematics and Statistics, University of Windsor, Ontario, Windsor N9B 3P4, Canada

Copyright © 2000 F. Labropulu and O. P. Chandna. 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 determine exact solutions of steady, plane viscous incompressible magnetohydrodynamic (MHD) aligned and non-MHD fluid flows when the polar representation of the streamline patterns for these flows are of the form (θ−f(r))/g(r)=constant.