Astronomy and Astrophysics – Astronomy
Scientific paper
Jan 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...281..421m&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 281, no. 2, p. 421-432
Astronomy and Astrophysics
Astronomy
43
Abundance, Internal Waves, Lithium, Solar Convection (Astronomy), Solar Interior, Stellar Composition, Stellar Models, Turbulent Mixing, Fourier Analysis, Mathematical Models, Turbulent Diffusion
Scientific paper
We present in this paper a new model for internal wave generation by disturbances at the bottom of the convective region in the frame of the convective penetration model by Zahn (1991). Several morphologies are proposed for these perturbations. Fourier analysis and the results from Press (1981) for sinusoidal perturbation, provide us with analytical expression for the velocity field in the stellar radiative interior. A diffusion coefficient is obtained using the definition of macroscopic diffusion coefficient given by Schatzman (1991) following Press' suggestion of irreversibility of the process in the radiative interior. The comparison between observations and Li depletion provided by this diffusive process in the Sun, shows that it is possible to justify with this process a Li depletion factor of 100 if we assume the disturbance described by a plume, and with a velocity of the downdraft in the convective zone four times that one given by the mixing length theory. Furthermore, the results are compatible with the pre-main-sequence (PMS) lithium burning.
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