Differential Rotation, Meridional Velocities, and PoleEquator Difference in Temperature of a Rotating Convective Spherical Shell
Abstract
A rotating, convective, spherical layer of fluid is considered in the Boussinesq approximation. The coupled equations for the axisymmetric modes of the velocity and temperature fields are solved in the steady state with the loworder "Legendre components" of the fluctuating selfinteractions (evaluated in the quasilinear approximation) as the driving terms It is found that (a) the angular velocity increases inward; (b) there is poleequator differential rotation with equatorial acceleration; (c) beneath the surface the equator is hotter than the poles (at the surface the temperature is given as a boundary condition); (d) two types of meridional circulation are compatible with the observed differential rotation of the Sun. For example, in the northern hemisphere, in one case the flow comprises two cells in the radial direction, and in the other case each radial cell is divided latitudinally into two subcells
 Publication:

The Astrophysical Journal
 Pub Date:
 January 1971
 DOI:
 10.1086/150775
 Bibcode:
 1971ApJ...163..353D