Another fundamental, but correctable, inconsistency of the local mixing-length theory

Astronomy and Astrophysics – Astrophysics

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Convective Flow, Mixing Length Flow Theory, Stellar Models, Stellar Structure, Cepheid Variables, Stellar Envelopes

Scientific paper

The traditional local mixing-length theory of convection assumes that the horizontally averaged opacity equals the opacity of the horizontally averaged temperature. This is seriously in error near the surface of stars, where the opacity is both a sensitive and a nonmonotonic function of temperature. A modification to the local theory is proposed which includes the horizontally averaged opacity but allows the theory to maintain its tractable form. Comparison between the two forms of the theory shows significant differences in the overall structure of the model, with the largest effects in the convective flux fraction.

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