Title
Spherically symmetric, polytropic flow Spherically symmetric, polytropic flow
Author
Faculty/Department
Faculty of Sciences. Physics
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Chicago, Ill. ,
Subject
Physics
Source (journal)
The astrophysical journal. - Chicago, Ill., 1895, currens
Volume/pages
384(1992) :2,1 , p. 587-604
ISSN
0004-637X
1538-4357
ISI
A1992GY75800021
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
We determine, in closed form, the flow profile corresponding to stationary, spherically symmetric, polytropic flow around a gravitating and radiating point mass. The profile is a branch of a quartic equation, relating distance to the central object to, for example, the local sound speed. Two branches of this equation are complex. The other two describe three different types of flow: subsonic and transonic accretion flow, transonic wind, and supersonic, super-Eddington flow. At any position in this flow, a supersonic regime may be linked to a subsonic one, through an adiabatic shock. Given the profiles, we determine the position of this shock, and vice versa. We also derive a stability criterion for the continuous and shocked flows.
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