Do eddingtonsweet circulations exist?
Abstract
The initial value problem for a rotating baroclinic star is considered. Arguments are derived suggesting that the steady meridional circulations first postulated by Vogt (1925) and Eddington (1925) do not exist and that instead a state of a purely zonal velocity field is approached from rather arbitrary initial conditions. By extending previous criteria for stability with respect to axisymmetric disturbances to the case of nonvanishing Prandtl number, it is shown that the purely zonal velocity field may be stable in special cases. In realistic situations, it tends to be unstable, but the preferred instability is likely to introduce nonaxisymmetric toroidal eddies rather than meridional circulations.
 Publication:

Geophysical and Astrophysical Fluid Dynamics
 Pub Date:
 1981
 DOI:
 10.1080/03091928108243683
 Bibcode:
 1981GApFD..17..215B
 Keywords:

 Atmospheric Circulation;
 Baroclinic Instability;
 Boundary Value Problems;
 Meridional Flow;
 Stellar Atmospheres;
 Stellar Rotation;
 Angular Momentum;
 Atmospheric Boundary Layer;
 Atmospheric Models;
 Prandtl Number;
 Stellar Models;
 Velocity Distribution;
 Astrophysics