An instability due to the local mixing-length approximation

Details An instability due to the local mixing-length approximation An instability due to the local mixing-length approximation

Jun 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977apj...214..498k&link_type=abstract

Astrophysical Journal, Part 1, vol. 214, June 1, 1977, p. 498-501

Astronomy and Astrophysics

Astrophysics

7

Convective Flow, Mixing Length Flow Theory, Stellar Envelopes, Stellar Evolution, Conservation Equations, Continuity Equation, Convective Heat Transfer, Density Distribution, Differential Equations, Equations Of Motion, Hydrodynamic Equations, Red Giant Stars, Stellar Models, Transport Theory

Scientific paper

The basic equations normally used for the study of dynamical phases in stellar evolution are shown to lead to short-wavelength instabilities when they are applied to convective envelopes in which the density decreases inward. This instability results from the standard local approximation for the mixing-length theory, which has unphysical consequences for small-scale perturbations. The instability disappears when a nonlocal mixing-length approximation is used.

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