Equilibrium problems in a rotating convection zone

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Free Convection, Stellar Envelopes, Stellar Rotation, Thermodynamic Equilibrium, Adiabatic Conditions, Astrophysics, Perturbation Theory

Scientific paper

The hypothesis is analyzed that some azimuth-averaged azimuthal force is created in a rotating convective zone due to the action of all unstable convective perturbations. Approximate perturbed equations derived under the assumptions of slow rotation and small superadiabaticity of the medium are used to study the equilibrium of the convective zone taking explicit account of nonlinear effects produced by the most rapidly growing unstable perturbations. The solutions are expanded in powers of the perturbation amplitude in order to estimate the nonlinear perturbed terms, and a simple expression for the averaged azimuthal force produced by the most rapidly growing perturbations is derived only in the limiting case of small turbulent viscosity. It is shown that in this limiting case, the form of the force is the same as that of the viscous force, but with a negative coefficient of viscosity. The overall results indicate that rigid rotation is most likely to be nonequilibrious in the upper part of any stellar convective envelope.

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