Publication Abstracts

Canuto 2011

Canuto, V.M., 2011: Stellar mixing: II. Double diffusion processes. Astron. Astrophys., 528, A77, doi:10.1051/0004-6361/201014448.

In this paper, salt-fingers (also called thermohaline convection) and semi-convection are treated under the name of double-diffusion (DD). We present and discuss the solutions of the RSM (Reynolds stress models) equations that provide the momentum, heat, μ fluxes, and their corresponding diffusivities denoted by Km,h,μ. Such fluxes are given by a set of linear, algebraic equations that depend on the following variables: mean velocity gradient (differential rotation), temperature gradients (for both stable and unstable regimes), and μ-gradients (DD). Some key results are as follows. Salt-fingers. When shear is strong and DD is inefficient, heat and μ diffusivities are identical. Second, when shear is weak Kμ > Kh and the difference can be sizeable O(10) meaning that heat and μ diffusivities must therefore be treated as different. Third, for strong-to-moderate shears and for Rμ less than 0.8, both heat and μ diffusivities are practically independent of μ. Fourth, the latter result favors parameterizations of the type Kh,μ ∼ CRμu suggested by some authors. Our results, however, show that C is not a constant but a linear function of the Reynolds number Re = ε(νN2)-1 defined in terms of the kinematic viscosity ν, the Brunt-Väisälä frequency N, and the rate of energy input into the system, ε. Fifth, we suggest that ε is an essential ingredient that has been missing in all diffusivity models, but which ought to be present because without a source of energy, turbulence dies out and so does the turbulent mixing (for example, the turbulent kinetic energy is proportional to the power 2/3 of ε). Moreover, since different stellar environments have different ε, its presence is necessary for differentiating mixing regimes in different stars. Semi-convection. In this case the destabilizing effect is the T-gradient, and when shear is weak, Kh > Kμ. Since the model is symmetric under the change Rμ to Rμ-1, most of the results obtained in the previous case can be translated to this case.

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BibTeX Citation

@article{ca06320r,
  author={Canuto, V. M.},
  title={Stellar mixing: II. Double diffusion processes},
  year={2011},
  journal={Astron. Astrophys.},
  volume={528},
  pages={A77},
  doi={10.1051/0004-6361/201014448},
}

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RIS Citation

TY  - JOUR
ID  - ca06320r
AU  - Canuto, V. M.
PY  - 2011
TI  - Stellar mixing: II. Double diffusion processes
JA  - Astron. Astrophys.
VL  - 528
SP  - A77
DO  - 10.1051/0004-6361/201014448
ER  -

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