Journal Article

The dependence of the diffusion coefficient on the mixing length in Kato's overstable zone

Minoru Umezu

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 298, issue 1, pages 193-206
Published in print July 1998 | ISSN: 0035-8711
Published online July 1998 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1046/j.1365-8711.1998.01620.x
The dependence of the diffusion coefficient on the mixing length in Kato's overstable zone

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Abstract

The treatment of the overstable zone by Langer, Sugimoto &38; Fricke is extended so that the effects of radiative heat loss from convective elements and of the mixing length are included. As the overstability investigated by Kato arises because of the radiative heat loss from the convective element, this loss may play a role in the heat flux. In the formulation presented in this work, the diffusion coefficient depends on the mixing length when the mixing length is very small. In calculations with the method of Langer et al., the efficiency factor of the diffusion coefficient of chemical species is sometimes much smaller than 1. This exceedingly small efficiency factor may be explained by the dependence of the diffusion coefficient on the mixing length. We find that the neutral condition of Kato's overstable zone is ∇ rad = ∇ ad.

Keywords: convection; instabilities; stars: interiors

Journal Article.  0 words. 

Subjects: Astronomy and Astrophysics

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