Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984mnras.206..589f&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 206, Feb. 1, 1984, p. 589-610. Research supported by th
Astronomy and Astrophysics
Astrophysics
28
Astrophysics, Black Holes (Astronomy), Interstellar Gas, Stellar Mass Accretion, Adiabatic Conditions, Dimensionless Numbers, Gas Pressure, Optical Thickness, Radiation Pressure, Relativistic Effects
Scientific paper
Flammang's (1982) theory of stationary, spherical, optically thick accretion into black holes is applied over a wide range of accretion regimes. Consideration is given to gas-pressure-dominated solutions, radiation-pressure-dominated solutions, and relativistic solutions in which the radiation energy density exceeds the rest-mass energy density of the gas particles. Numerical solutions are given, and their physical properties are discussed. Special attention is given to the degree of adiabaticity of the flow and to the manner in which energy diffusion affects the accretion rate. The dimensionless number governing the importance of energy diffusion in all accretion regimes is determined, and it is shown that it corresponds to the idea of the 'trapping of photons' and to the Peclet number of fluid mechanics in the appropriate limits. The quantitative results are found to agree very well with Begelman's (1978) theory for nonrelativistic radiation-pressure-dominated solutions.
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