Statistics – Computation
Scientific paper
Jan 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985apj...288..428c&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 288, Jan. 15, 1985, p. 428-437.
Statistics
Computation
50
Black Holes (Astronomy), Mass Flow, Shock Waves, Standing Waves, Stellar Mass Accretion, Computational Astrophysics, Gas Dynamics, Hydrodynamic Equations
Scientific paper
Using standard radial, time-independent, fluid hydrodynamic equations with simplified heating and cooling functions, it is found that solutions with standing shocks occur and exist in a part of the luminosity-efficiency plane, where, because of strong heating, no stationary solution without a shock exists. Necessary conditions for the existence of solutions with two sonic points are discussed. It is found that if there is a region in which the gas is heated rapidly, interior to which it is cooled, the sonic points exist. Fifteen detailed numerical solutions are presented in graphical or tabular form. In a typical shock solution, the outer (isothermal) sonic point occurs at 10 to the 7th r(s) with a shock situated at 10 to the 6th r(s) and the inner sonic point occurs at 10,000 r(s), where the gas temperature approaches the temperature of the interior source of radiation and the Compton effect tends to cool rather than heat the inflowing gas.
Chang K. M.
Ostriker Jeremiah P.
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