2006
DOI: 10.1051/0004-6361:20053960
|View full text |Cite
|
Sign up to set email alerts
|

Global axisymmetric dynamics of thin viscous accretion disks

Abstract: The purpose of this paper is to explore the steady state and dynamical behavior of thin, axisymmetric, viscous accretion disks. To facilitate an analytical treatment we replace the energy equation with a general polytropic assumption. The asymptotic expansion of Kluźniak & Kita (2000, Three-dimensional structure of an alpha accretion disk [arXiv:astro-ph/0006266]), which extended the method of Regev (1983, A&A, 126, 146) to a full steady polytropic disk (with n = 3/2), is further developed and implemented fo… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

1
43
0

Year Published

2007
2007
2018
2018

Publication Types

Select...
6
1

Relationship

2
5

Authors

Journals

citations
Cited by 31 publications
(44 citation statements)
references
References 41 publications
1
43
0
Order By: Relevance
“…We initially consider a viscous accretion α-disk surrounded by a rarefied corona threaded by the stellar magnetosphere. The Keplerian accretion disk is modeled after the polytropic solution presented in Kluźniak & Kita (2000, see also Regev & Gitelman 2002Umurhan et al 2006). The density, pressure, toroidal and accretion speed, and kinematic viscosity of the disk are given respectively by…”
Section: Initial and Boundary Conditionsmentioning
confidence: 99%
“…We initially consider a viscous accretion α-disk surrounded by a rarefied corona threaded by the stellar magnetosphere. The Keplerian accretion disk is modeled after the polytropic solution presented in Kluźniak & Kita (2000, see also Regev & Gitelman 2002Umurhan et al 2006). The density, pressure, toroidal and accretion speed, and kinematic viscosity of the disk are given respectively by…”
Section: Initial and Boundary Conditionsmentioning
confidence: 99%
“…The accretion disk is set following the threedimensional models of α Keplerian accretion disks originally developed in Kluźniak & Kita (2000) and further discussed by Regev & Gitelman (2002) and Umurhan et al (2006). These are polytropic (P d ∝ ρ 2 ) of the equations of viscous hydrodynamics, where = C s /V K is the disk aspect ratio, given by the ratio between the isothermal sound speed C s = P d /ρ d and the Keplerian speed V K = √ GM /r evaluated on the midplane of the disk.…”
Section: Initial Conditionsmentioning
confidence: 99%
“…Keplerian rotating flows are (according to the Rayleigh and other criteria) linearly stable and thus astrophysical disk turbulence can not originate from a linear instability of the kind known (and well studied) in Taylor-Couette hydrodynamical flows. Several ideas on how purely hydrodynamical processes may account for anomalous angular momentum transport in accretion disks have been put forward [9,10,11,12,13,14,15,16,17,18,19,20], but they still remain quite controversial [21,22,23,24,25,26,27, 28] and we shall not deal with this problem here.…”
Section: Introductionmentioning
confidence: 99%