International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 1, Pages 165-186
doi:10.1155/S0161171297000227
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
Abstract
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.