On steady incompressible three-dimensional hydromagnetic flows

Abstract

In this paper certain theorems of theoretical interest have been established with the help of the geometrical properties of Faraday’s surface (which is spanned by the flow and field lines). These theorems shed light on the behaviour of steady incompressible hydromagnetic flows. The complex-lamellar acceleration and simple geodesic motion admitted by such flows have also been studied. © 1982 American Mathematical Society.