Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...132..127l&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 132, no. 1, March 1984, p. 127-135.
Astronomy and Astrophysics
Astrophysics
2
Convective Flow, Cosmic Plasma, Incompressible Flow, Plasma Dynamics, Absorptivity, Boundary Value Problems, Linear Equations, Radiative Transfer, Temperature Dependence
Scientific paper
The author studies the properties of a convective radiating incompressible atmosphere, where the absorption coefficient depends linearly on temperature. A definition of the Rayleigh number (which measures the instability of the fluid) is proposed. It is found that the Nusselt number (which measures the efficiency of the convection) is an increasing, but bounded, function of the Rayleigh number and that its limit is independent of the Prandtl number (which measures the relative importance of viscosity and radiative transfer), and of the free parameters of the model. In the case of a large positive value of dK/dT, which corresponds to the ionization of an element, instabilities of finite amplitude are possible.
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