Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993a%26a...267..651m&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 267, no. 2, p. 651-659.
Astronomy and Astrophysics
Astrophysics
Accretion Disks, Compton Effect, Convection, Magnetohydrodynamic Turbulence, Photons, Mach Number, Magnetohydrodynamic Flow, Prandtl Number, Radiative Transfer
Scientific paper
It is shown that a self-consistent calculation of the Prandtl number imposes some constraints on two temperature convective soft photon Comptonized accretion disks. Flows with turbulent Mach number greater than 0.82 will only be stationary if the accretion rate exceeds a critical value. It is also shown that, for general phenomenological radiative cooling and heating laws, stability conditions are highly nonlinear functions of radiative pressure and turbulent Mach number. According to these results, the two temperature convective soft photon comptonized disk is shown to be thermally unstable and secularly stable. Applying these results to Cygnus X-1 we obtain sonic turbulence which suggests importance of advective heat flow. For accretion rates below the critical value (with alpha greater than 0.82), linear stability analysis does not apply.
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