Statistics – Computation
Scientific paper
Nov 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986a%26a...168..173l&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 168, no. 1-2, Nov. 1986, p. 173-183.
Statistics
Computation
3
Atmospheric Stratification, Convective Flow, Fluid Dynamics, Radiative Transfer, Solar Granulation, Computational Astrophysics, Computational Fluid Dynamics, Eddington Approximation, Radiant Flux Density
Scientific paper
Anelastic equations are used in order to study a radiating stratified convection zone. The equation of radiative transfer is treated in the Eddington approximation. The linear problem is solved for fixed flux boundary conditions and time independent solutions are presented for Rayleigh numbers up to 4×106times the critical number and the Prandtl numbers of order one. It is found that the critical wavenumber is always of order four. A certain number of differences with the standard mixing-length theory are pointed out: (1) the convective flux may compete with the radiative flux; (2) the efficiency of convection is bounded by a limit related to the optical properties of the fluid; (3) the importance of the mechanical energy flux to control the radiative and convective flux of the flow is stressed.
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