On some magnetohydrostatic configuration in prolate spheroidal ducts

In the present paper it is proposed to study some magnetic fields with conservative Lorentz force in prolate spheroidal coordinates, neglecting the effects of displacement current. It has been shown that self-superposable flow of an electrically conducting incompressible fluid permeated by a magnetic field with conservative Lorentz force may constitute a magnetohydrostatic configuration under certain conditions. Some such possible configurations have been attempted for the conducting fluid flowing in prolate spheroidal duct and pressure distributions of these configurations have also been determined. (author). 13 refs