A variable mixing-length ratio for convection theory

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Convective Heat Transfer, Mixing Length Flow Theory, Stellar Models, Cavitation Flow, Plasma Density, Stellar Envelopes

Scientific paper

It is argued that a natural choice for the local mixing length in the mixing-length theory of convection has a value proportional to the local density scale height of the convective bubbles. The resultant variable mixing-length ratio (the ratio between the mixing length and the pressure scale height) of this theory is enhanced in the superadiabatic region and approaches a constant in deeper layers. Numerical tests comparing the new mixing length successfully eliminate most of the density inversion that typically plagues conventional results. The new approach also seems to indicate the existence of granular motion at the top of the convection zone.

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