Open AccessModel dependence of transonic properties of accretion flows around black holes
Author(s) -
Chakrabarti Sandip K.,
Das Santabrata
Publication year - 2001
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1046/j.1365-8711.2001.04758.x
Subject(s) - polytropic process , transonic , physics , accretion (finance) , constant (computer programming) , parameter space , flow (mathematics) , mechanics , astrophysics , conical surface , classical mechanics , geometry , aerodynamics , mathematics , computer science , programming language
We analytically study how the behaviour of accretion flows changes when the flow model is varied. We study the transonic properties of the conical flow, a flow of constant height and a flow in vertical equilibrium, and show that all these models are basically identical, provided that the polytropic constant is suitably changed from one model to another. We show that this behaviour is extendible even when standing shocks are produced in the flow. The parameter space where shocks are produced remains roughly identical in all these models when the same transformation among the polytropic indices is used. We present applications of these findings.