Open AccessLinearized perturbation on stationary inflow solutions in an inviscid and thin accretion disc
Author(s) -
Ray Arnab K.
Publication year - 2003
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.1365-8711.2003.06796.x
Subject(s) - inviscid flow , inflow , physics , perturbation (astronomy) , newtonian fluid , convective flow , accretion (finance) , transonic , mechanics , classical mechanics , astrophysics , convection , astronomy , aerodynamics
ABSTRACT The influence of a linearized perturbation on stationary inflow solutions in an inviscid and thin accretion disc has been studied here, and it has been argued that a perturbative technique would indicate that all possible classes of inflow solutions would be stable. The choice of the driving potential, Newtonian or pseudo‐Newtonian, would not particularly affect the arguments which establish the stability of solutions. It has then been surmised that in the matter of the selection of a particular solution, adoption of a non‐perturbative technique, based on a more physical criterion, as in the case of the selection of the transonic solution in spherically symmetric accretion, would give a more conclusive indication concerning the choice of a particular branch of the flow.