Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983a%26a...125...59k&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 125, no. 1, Aug. 1983, p. 59-68. Research supported by the Alfred P. Sloan Fou
Astronomy and Astrophysics
Astrophysics
29
Angular Momentum, Magnetohydrodynamic Stability, Rotating Fluids, Stellar Interiors, Stellar Rotation, Stellar Structure, Stratified Flow, Baroclinic Instability, Molecular Weight, Momentum Transfer, Radiative Transfer, Stellar Evolution, Turbulent Mixing
Scientific paper
The stability of a differentially rotating fluid with respect to axisymmetric instabilities is investigated in the presence of finite viscosity (nu), thermal diffusion (kappa-T) and a gradient of chemical composition, of diffusivity kappa-S. The results confirm that the Goldreich-Schubert-Fricke instability is suppressed already at very small stabilizing composition gradients of the order N(S) approximately Omega, where N(S) is the buoyancy frequency due to the chemical gradient and Omega the rotation rate. This excludes the GSF instability as a mixing agent in chemically inhomogeneous stellar interiors. However, two other modes of instability exist, one of which is stabilized only by much stronger composition gradients of the order N(S) approximately N(T) where N(T) is the thermal buoyancy frequency. It is an unstable inertial oscillation, operating on the baroclinicity of the stratification. It is argued that this instability might produce significant mixing in radiative stellar interiors. The other instability is triply diffusive in nature and is probably not very important since like the GSF instability it is limited to composition gradients with N(S) approximately equal to or less than Omega.
Knobloch Eberhard
Spruit Hendrik C.
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