An Axisymmetric Magnetic Field with Differential Rotations in a Spherical Fluid Shell. II
Abstract
The differential rotation in a spherical shell of an incompressible inviscid fluid of infinite electrical conductivity is examined when the magnetic field and the fluid motions are both purely toroidal. It is shown that a steadystate solution is possible, if the Alfvén velocity associated with the toroidal magnetic field is comparable with the velocity of rotation. By considering a particular set of solutkins which satisfy the observed solar differential rotation on the outer surface and a constant rotation on the inner surface, it is shown that the toroidai magnetic field must be of the order of 1O~ gauss for the Sun
 Publication:

The Astrophysical Journal
 Pub Date:
 August 1969
 DOI:
 10.1086/150120
 Bibcode:
 1969ApJ...157..881N