Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008a%26a...488..819r&link_type=abstract
Astronomy and Astrophysics, Volume 488, Issue 3, 2008, pp.819-827
Astronomy and Astrophysics
Astrophysics
2
Hydrodynamics, Instabilities, Sun: Interior
Scientific paper
Aims: We consider the stability of simple hydrodynamic models of the solar tachocline. This study addresses only the non-magnetic instabilities. In our model there is a strong radial shear, which because of the rotation is coupled to a latitudinal temperature gradient. We also assume there is a strong stable stratification, appropriate for the slow tachocline. Methods: These instabilities are calculated by finding the eigenvalues and eigenfunctions using a matrix-based collocation method. We also find analytic expressions for the key instabilities in the relevant asymptotic limits of strong stable stratification and small Prandtl number. Results: We find two distinct types of instability, axisymmetric modes of the Goldreich-Schubert type, and three-dimensional Eady-type modes. Both types of mode are affected by thermal diffusion. We find that the axisymmetric modes considered by Knobloch & Spruit ([CITE], A&A, 113, 261) are likely to dominate in the slow tachocline. The non-axisymmetric baroclinic instability of Eady-type may be important in the layers closer to the base of the convection zone.
Jones Alun C.
Rashid F. Q.
Tobias Steve M.
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