The value of the mixing length

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Convective Flow, Mixing Length Flow Theory, Scale Height, Stellar Envelopes, Stellar Evolution, Stellar Structure, Finite Difference Theory, Hydrodynamic Equations, Stellar Models, Stellar Temperature

Scientific paper

The two-dimensional hydrodynamic calculations of Deupree are used, to derive an analytic fit for the ratio of the mixing length to pressure scale height. Although based on models with very shallow convective envelopes, this fit is assumed to be valid, with an arbitrary extension, to deeper convective envelopes. Stellar evolution sequences were calculated using the fit, and it was found that the fit (1) constrains the effective temperature at the Hayashi limit more than the range of tradition values for the mixing length and (2) is consistent with observations.

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