Hydrodynamic and magnetohydrodynamic plasma flows. Part III

Abstract

In this article we find the general expression of the topology that the magnetic field adopts in order to limit the currents that are generated along its lines in plasmas with non-zero resistivity. In order to compare with ideal plasma models we assume null Lorentz force azimuthal component.  We show that the magnetic field strength does not depend on the magnetic diffusivity coefficient, as do the induced electric field and the associated mass flux. The decoupling of mass flux isosurfaces and constant magnetic flux surfaces means that the mathematical problem is no longer one of separable variables, but we show the conditions that the mass density (which is no longer spherically symmetric) and the velocity field must satisfy.