Nondissipative Magneto-Hydrodynamic Flows with Magnetic and Velocity Field Lines Orthogonal Geodesics

Abstract

By employing an anholonomic description of the governing equations, certain geometric results are obtained for a class of nondissipative magneto-hydrodynamic flows. For the latter, the velocity and magnetic field lines are geodesics and parallels respectively on a normal congruence of surfaces. A significant subclass is shown to be helical in character.