Meridional circulation in rotating stars. I - A boundary layer analysis of mean steady motions in early-type stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Boundary Layer Equations, Circulation Distribution, Early Stars, Magnetohydrodynamic Flow, Meridional Flow, Stellar Rotation, Viscosity, Angular Momentum, Baroclinic Instability, Boundary Conditions, Eddy Viscosity, Electron Scattering, Magnetohydrodynamic Turbulence, Opacity, Steady Flow, Stellar Radiation, Velocity Distribution

Scientific paper

Uniformly valid circulation velocity expressions are found for the radiative zone of a chemically homogeneous early-type star, when departure from spherical symmetry is not too large, in a reconsideration of the problem of rotationally driven meridional currents in nonmagnetic stars. It is found that: (1) radiative viscosity is too small to provide an acceptable solution; (2) nonaxisymmetric instabilities generate layered turbulence in the models; and (3) the effects of eddy viscosity on meridional streaming are unimportant in the bulk of the radiative zone. Boundary layer equations are obtained and applied to two Cowling point source models, with electron-scattering opacity and Kramers' opacity law. The circulation velocities satisfy all prescribed boundary conditions, and are found to remain uniformly small throughout the models. The corresponding rotation law, which depends on eddy viscosity, cannot be obtained with the same degree of accuracy

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