Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991a%26a...247..419s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 247, no. 2, July 1991, p. 419-428. Research supported by Max-Planck-Gesellscha
Astronomy and Astrophysics
Astrophysics
Accretion Disks, Astronomical Models, Convective Flow, Optical Thickness, Protoplanets, Jupiter (Planet), Nebulae, Reynolds Number, Thermal Stability
Scientific paper
Thermal and dissipative stability are examined for optically thick convection-accretion disks. The turbulent dissipation is calculated self-consistently within the context of a cascade model with a nonlocal normal-mode analysis. Model opacity functions with constant xi = d log k/d log T are considered. The variation of the Shakura-Sunyayev dissipation parameter (alpha) with the optical thickness is shown to exacerbate the well-known thermal-dissipative instability caused by large values of xi, sharply reducing the instability threshold value from near 6 to near 2. The usual ice-grain opacity function (xi=2) leads to an unstable structure in the whole of the ice-grain region of a minimum-mass nebula. On the other hand, the Reynolds number tidal constraint on the formation of Jupiter can only be satisfied with a convective alpha for xi near 2.
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