MHD theory of the stability of a viscous sphere
Abstract
The problem of the stability of a sphere in the presence of a toroidal magnetic field is discussed with account taken of a small viscosity with respect to perturbations of the type n=m=2, which are decisive in the theory of the stability of spherical figures. Within the framework of the linear theory it has been established that a small kinematic viscosity ν in the presence of a toroidal magnetic field of order of smallness ν ^{r}, where r⩾0.25, has no effect on the nature of the stability of the spherical figures under discussion but only changes the frequency of the vibrations. The vibration frequency is found as a function of the magnetic field induction and the kinematic viscosity.
 Publication:

Soviet Physics Journal
 Pub Date:
 April 1982
 DOI:
 10.1007/BF00906200
 Bibcode:
 1982SvPhJ..25..318E