Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976mmsai..47..365s&link_type=abstract
Società Astronomica Italiana, Memorie, vol. 47, Sept. 1976, p. 365-376.
Astronomy and Astrophysics
Astronomy
1
Atmospheric Heating, Closure Law, Kinetic Heating, Mathematical Models, Stellar Atmospheres, Stellar Models, Acoustics, Atmospheric Turbulence, Convective Flow, Mixing Length Flow Theory, Shock Heating, Solar Atmosphere, Solar Corona
Scientific paper
Theoretical treatments of the mechanical heating of the external layers of stars are reviewed; the problem is posed as one of stationary nonhomogeneous turbulence (that is, the Rayleigh-Benard problem) with the essential difficulty lying in the solution of a hierarchy of equations of motion, mass and energy through a chosen closure hypothesis. In particular, the closure relation proposed by Schwarzschild (1948), which makes reference to acoustic waves, and the closure hypothesis of Schatzman (1949), a more general treatment based on linear acoustics, are analyzed. It is suggested that a description of the propagation of an isolated unsustained shock in a homogeneous compressible fluid at rest, developed by Brinkley and Kirkwood (1947), may be quite effectively applied to the problem of the heating of the solar atmosphere.
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