International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 1, Pages 165-186

Exact solutions of steady plane MHD aligned flows using (ξ,ψ)- or (η,ψ)-coordinates

F. Labropulu1 and O. P. Chandna2

1Department of Applied Mathematics, University of Western Ontario, Ontario, London N6A 5B7, Canada
2Department of Mathematics and Statistics, University of Windsor, Ontario, Windsor N9B 3P4, Canada

Received 8 August 1994

Copyright © 1997 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.


A new approach for the determination of exact solutions of steady plane infinitely conducting MHD aligned flows is presented. In this approach, the (ξ,ψ)- or the (η,ψ)- coordinates is used to obtain exact solutions of these flows where ψ=(x,y) is the streamfunction and w=ξ(x,y)+iη(x,y) is an analytic function of z=x+iy.