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Related papers: Secular instability in quasi-viscous disc accretio…

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Analytical treatment of black hole accretion generally presumes the stability of the stationary configuration. Various authors in the past several decades demonstrated the validity of such an assumption for inviscid hydrodynamic flow.…

High Energy Astrophysical Phenomena · Physics 2014-06-17 Sankhasubhra Nag , Deepika B Ananda , Ishita Maity , Tapas K. Das

In a novel approach to studying viscous accretion flows, viscosity has been introduced as a perturbative effect, involving a first-order correction in the $\alpha$-viscosity parameter. This method reduces the problem of solving a…

Astrophysics · Physics 2015-05-13 Jayanta K. Bhattacharjee , Atri Bhattacharya , Tapas K. Das , Arnab K. Ray

We use well-established observational evidence to draw conclusions about the fundamental nature of the viscosity in accretion discs. To do this, we first summarise the observational evidence for the value of the dimensionless accretion disc…

High Energy Astrophysical Phenomena · Physics 2020-12-16 R. G. Martin , C. J. Nixon , J. E. Pringle , M. Livio

The non-linear fluid dynamics of a warped accretion disc was investigated in an earlier paper by developing a theory of fully non-linear bending waves in a thin, viscous disc. That analysis is here extended to take proper account of thermal…

Astrophysics · Physics 2009-10-31 G. I. Ogilvie

The arising of turbulence in gas-dynamic (non-magnetic) accretion disks is a major issue of modern astrophysics. Such accretion disks should be stable against the turbulence generation, in contradiction to observations. Searching for…

Solar and Stellar Astrophysics · Physics 2014-10-01 E. P. Kurbatov , D. V. Bisikalo , P. V. Kaygorodov

Using the anelastic approximation of linearised hydrodynamic equations, we investigate the development of axially symmetric small perturbations in thin Keplerian discs. The sixth-order dispersion equation is derived and numerically solved…

High Energy Astrophysical Phenomena · Physics 2015-07-02 N. Shakura , K. Postnov

A viscous instability in shearing laminar axisymmetric hydrodynamic flows around a gravitating center is described. In the linearized hydrodynamic equations written in the Boussinesq approximation with microscopic molecular transport…

High Energy Astrophysical Phenomena · Physics 2015-03-18 Nikolai Shakura , Konstantin Postnov

Analytical studies of black hole accretion usually presumes the stability of the stationary transonic configuration. Various authors in the past several decades demonstrated the validity of such an assumption for inviscid hydrodynamic flow.…

High Energy Astrophysical Phenomena · Physics 2015-12-29 Deepika B. Ananda , Soumini Chaudhury , Tapas K. Das , Ishita Maity , Sankhasubhra Nag

We explore effects of the Shakura-Sunyaev alpha-viscosity on the dynamics and oscillations of slender tori. We start with a slow secular evolution of the torus. We show that the angular-momentum profile approaches the Keplerian one on the…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Jiri Horak , Marek Abramowicz , Lina Levin , Rikard Slapak , Odele Straub

We study the evolution of viscous, isothermal, rotating, thin, axisymmetric accretion disks around a compact object using Smoothed Particle Hydrodynamics. We emphasize the effects of different choices of viscosity prescriptions on the…

Astrophysics · Physics 2008-02-03 Sandip K. Chakrabarti , Diego Molteni

In this letter, we present numerical calculations made to investigate the possible resolution dependence of the Shakura & Sunyaev (1973) viscosity parameter alpha from local magnetohydrodynamic simulations of the magnetorotational…

Astrophysics · Physics 2007-05-23 P. J. Kapyla , M. J. Korpi

Using the anelastic approximation of linearized hydrodynamic equations, we investigate the development of axially symmetric small perturbations in thin Keplerian discs. Dispersion relation is found as a solution of general Sturm-Liouville…

High Energy Astrophysical Phenomena · Physics 2017-02-15 Konstantin Malanchev , Konstantin Postnov , Nikolai Shakura

Accretion disks in binary systems can experience hydrodynamic impact at inner as well as outer edges. The first case is typical for protoplanetary disks around young T Tau stars. The second one is typical for circumstellar disks in close…

Solar and Stellar Astrophysics · Physics 2017-06-21 E. P. Kurbatov , D. V. Bisikalo

We develop a model of thin turbulent accretion discs supported by magnetic pressure of turbulent magnetic fields. This applies when the turbulent kinetic and magnetic energy densities are greater than the thermal energy density in the disc.…

Astrophysics · Physics 2009-11-07 V. I. Pariev , E. G. Blackman , S. A. Boldyrev

Numerical, two-dimensional, time-dependent hydrodynamical models of geometrically thick accretion discs around black holes are presented. Accretion flows with non-effective radiation cooling (ADAFs) can be both convectively stable or…

Astrophysics · Physics 2009-09-25 Igor V. Igumenshchev

We provide a unified description of thermal equilibria of black hole accretion disks, including the newly-discovered advection-dominated solutions. We classify the solutions on the basis of optical depth and importance of advection cooling.…

Astrophysics · Physics 2009-10-28 Xingming Chen , Marek A. Abramowicz , Jean-Pierre Lasota , Ramesh Narayan , Insu Yi

Almost all hydrodynamic accretion disk models parametrize viscosity with the dimensionless parameter alpha. There is no detailed model for alpha, so it is usually taken to be a constant. However, global simulations of magnetohydrodynamic…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Robert F. Penna , Aleksander Sadowski , Akshay K. Kulkarni , Ramesh Narayan

A new theory of eccentric accretion discs is presented. Starting from the basic fluid-dynamical equations in three dimensions, I derive the fundamental set of one-dimensional equations that describe how the mass, angular momentum and…

Astrophysics · Physics 2009-11-06 G. I. Ogilvie

We show that a standard Shakura-Sunyaev accretion disc around a black hole with an accretion rate lower than the critical Eddington limit does show the instability in the radiation pressure dominated zone. We obtain this result performing…

Astrophysics · Physics 2009-11-10 V. Teresi , D. Molteni , E. Toscano

We show that the standard model for geometrically thin accretion disks (alpha-disks) leads to inconsistencies if selfgravity plays a role. This problem arises from the parametrization of viscosity in terms of local sound velocity and…

Astrophysics · Physics 2007-05-23 W. J. Duschl , Peter A. Strittmatter , Peter L. Biermann
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