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The Mass Mixing Length in Convective Stellar Envelopes

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abstract

The scale length over which convection mixes mass in a star can be calculated as the inverse of the vertical derivative of the unidirectional (up or down) mass flux. This is related to the mixing length in the mixing length theory of stellar convection. We give the ratio of mass mixing length to pressure scale height for a grid of 3D surface convection simulations, covering from 4300\,K to 6900\,K on the main-sequence, and up to giants at $\log g = 2.2$, all for solar composition. These simulations also confirm what is already known from solar simulations, that convection doesn't proceed by discrete convective elements, but rather as a continuous, slow, smooth, warm upflow and turbulent, entropy deficient, fast down drafts. This convective topology also results in mixing on a scale as that of the classic mixing length formulation, and is simply a consequence of mass conservation on flows in a stratified atmosphere.

fields

astro-ph.SR 1

years

2021 1

verdicts

ACCEPT 1

representative citing papers

The chemical make-up of the Sun: A 2020 vision

astro-ph.SR · 2021-05-04 · accept · novelty 5.0

Revised solar photospheric abundances yield Z/X = 0.0187 with C, N, O at 8.46, 7.83, 8.69, preserving the solar modeling discrepancy and revealing a modest volatile-refractory offset from CI chondrites.

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  • The chemical make-up of the Sun: A 2020 vision astro-ph.SR · 2021-05-04 · accept · none · ref 257 · internal anchor

    Revised solar photospheric abundances yield Z/X = 0.0187 with C, N, O at 8.46, 7.83, 8.69, preserving the solar modeling discrepancy and revealing a modest volatile-refractory offset from CI chondrites.