Exact solutions of steady plane flows using von Mises coordinates (Q1346357)

We recapitulate the basic equations governing the steady plane motion of infinitely conducting MHD aligned flows, finitely conducting MHD aligned flows, and non-MHD ordinary fluid flows. Further we recast these equations in a new form, called Martin's form, by employing some results from differential geometry. The method of finding exact solutions for a class of flow patterns and many flow problems as examples are given and a detailed study of one example is carried out. Some of the impossible flow patterns for all considered classes are mentioned, and a table of exact solutions is presented in the closing.