Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...140....1m&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 140, no. 1, Nov. 1984, p. 1-16.
Astronomy and Astrophysics
Astrophysics
30
Atmospheric Stratification, Convection, Stellar Atmospheres, Stellar Models, Stellar Structure, Boussinesq Approximation, Compressible Fluids, Convective Flow, Penetration
Scientific paper
In the present investigation of penetrative convection within a simple compressible model, the middle one of the three layers of differing stratification prior to the onset of convection is a convectively unstable polytrope bounded above and below by two stably stratified polytropes. One- and two-mode steady solutions with hexagonal planforms have been studied for Rayleigh numbers up to aobut 1000 times critical, and for a range of Prandtl numbers, horizontal wavenumbers, and stratifications. These indicate that the penetration into the lower stable layer by downward plumes is substantially larger in a stratified medium than in a Boussinesq fluid, and produces an extended region of adiabatic stratification. The strong asymmetry between upward and downward penetration in compressible media has major implications for the mixing of stable regions above and below stellar convection zones.
Latour J.
Massaguer Josep M.
Toomre Juri
Zahn Jean-Paul
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