Publication Abstracts

Canuto 2011

Canuto, V.M., 2011: Stellar mixing: I. Formalism. Astron. Astrophys., 528, A76, doi:10.1051/0004-6361/201014447.

In this paper we use the Reynolds stress models (RSM) to derive algebraic expressions for the following variables: a) heat fluxes; b) μ fluxes; and c) momentum fluxes. These relations, which are fully 3D, include:

1) stable and unstable stratification, represented by the Brunt-Väisäla frequency, N2=-gHp-1(∇-∇ad)(1-Rμ);

2) double diffusion, salt-fingers, and semi-convection, represented by the density ratio Rμ=∇μ(∇-∇ad)-1;

3) shear (differential rotation), represented by the mean squared shear Σ2 or by the Richardson number, Ri=N2Σ-2;

4) radiative losses represented by a Peclet number, Pe;

5) a complete analytical solution of the 1D version of the model. In general, the model requires the solution of two differential equations for the eddy kinetic energy K and its rate of dissipation, ε. In the local and stationary cases, when production equals dissipation, the model equations are all algebraic.

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BibTeX Citation

@article{ca05320v,
  author={Canuto, V. M.},
  title={Stellar mixing: I. Formalism},
  year={2011},
  journal={Astron. Astrophys.},
  volume={528},
  pages={A76},
  doi={10.1051/0004-6361/201014447},
}

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RIS Citation

TY  - JOUR
ID  - ca05320v
AU  - Canuto, V. M.
PY  - 2011
TI  - Stellar mixing: I. Formalism
JA  - Astron. Astrophys.
VL  - 528
SP  - A76
DO  - 10.1051/0004-6361/201014447
ER  -

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