Spherically symmetric, polytropic flow

Details Spherically symmetric, polytropic flow Spherically symmetric, polytropic flow

Jan 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...384..587t&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 384, Jan. 10, 1992, p. 587-604.

Computer Science

Sound

25

Accretion Disks, Magnetohydrodynamic Flow, Polytropic Processes, Shock Wave Propagation, Stellar Mass Ejection, Axisymmetric Flow, Subsonic Flow, Supersonic Flow, Transonic Flow

Scientific paper

Determinations are given in closed form of 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 can be linked to a subsonic one, through an adiabatic shock. Given the profiles, the position of this shock is determined and vice versa. A stability criterion is derived for the continuous and shocked flows.

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