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The stability of thin homogeneous gaseous disk with step discontinuity of velocity and density profile has been investigated analytically in the limitary case of large compressibility and numerically at spatially separated velocity and…

Astrophysics · Physics 2007-05-23 C. M. Bezborodov , J. V. Mustsevaya , V. V. Mustsevoy

We investigate the viscous stability of thin, Keplerian accretion disks in regions where general relativistic (GR) effects are essential. For gas pressure dominated (GPD) disks, we show that the Newtonian conclusion that such disks are…

Astrophysics · Physics 2009-10-30 Pranab Ghosh

We present the simplest model that permits a largely analytical exploration of the m=1 counter-rotating instability in a "hot" nearly Keplerian disc of collisionless self-gravitating matter. The model consists of a two-component softened…

Astrophysics of Galaxies · Physics 2015-05-14 S. Sridhar , Tarun Deep Saini

Accretion discs that are tilted with respect to their compact hosts can warp out-of-plane through general relativistic frame-dragging. Warp influences disc dynamics in ways that have been studied extensively, especially as regards…

High Energy Astrophysical Phenomena · Physics 2026-02-02 Arthur G. Suvorov , Kostas Glampedakis

The flow of an electrically conducting fluid in a thin disc under the action of an azimuthal Lorentz force is studied experimentally. At small forcing, the Lorentz force is balanced by either viscosity or inertia, yielding quasi-Keplerian…

Fluid Dynamics · Physics 2021-09-14 Marlone Vernet , Michael Pereira , Stephan Fauve , Christophe Gissinger

The linear theory for rotating compressible convection in a plane layer geometry is presented for the astrophysically-relevant case of low Prandtl number gases. When the rotation rate of the system is large, the flow remains geostrophically…

Geophysics · Physics 2015-03-02 Michael A. Calkins , Keith Julien , Philippe Marti

We study the possible origin of hydrodynamic turbulence in cold accretion disks such as those in star-forming systems and quiescent cataclysmic variables. As these systems are expected to have neutral gas, the turbulent viscosity is likely…

Astrophysics · Physics 2009-11-11 Banibrata Mukhopadhyay , Niayesh Afshordi , Ramesh Narayan

Magnetized disk winds and wind-driven accretion are an essential and intensively studied dispersion mechanism of protoplanetary disks. However, the stability of these mechanisms has yet to be adequately examined. This paper employs…

Earth and Planetary Astrophysics · Physics 2024-07-04 Lile Wang , Sheng Xu , Zhenyu Wang , Min Fang , Jeremy Goodman

We consider the accretion process in a disk with magnetic fields that are dragged in from the interstellar medium by gravitational collapse. Two diffusive processes are at work in the system: (1) "viscous" torques exerted by turbulent and…

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

We study global non-axisymmetric oscillation modes and instabilities in magnetosphere- disc systems, as expected in neutron star X-ray binaries and possibly also in accreting black hole systems. Our two-dimensional magnetosphere-disc model…

High Energy Astrophysical Phenomena · Physics 2012-05-28 Wen Fu , Dong Lai

Accretion disks around stars, or other central massive bodies, can support long-lived, slowly precessing $m=1$ disturbances in which the fluid motion is nearly Keplerian with non-zero eccentricity. We study such `slow modes' in disks that…

Earth and Planetary Astrophysics · Physics 2019-03-06 Wing-Kit Lee , Adam M. Dempsey , Yoram Lithwick

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

Linear stability of solid body rotating flows with axisymmetric density variations is addressed analytically. Considering inviscid disturbances, a non trivial dispersion relation is obtained and it is shown that the instability is of…

Fluid Dynamics · Physics 2023-08-24 C. Jacques , B. Di Pierro , F. Alizard , M. Buffat , A. Cadiou , L. Le Penven

Many accretion discs have been found to be distorted: either warped due a misalignment in the system, or non-circular as a result of orbital eccentricity or tidal deformation by a binary companion. Warped, eccentric, and tidally distorted…

Solar and Stellar Astrophysics · Physics 2024-09-19 Loren E. Held , Gordon I. Ogilvie

The stability of a rotating fluid disk to the formation of spiral arms is studied in the tightwinding approximation in the linear regime. The dispersion relation for spirals that was derived by Bertin et al. is shown to contain a new,…

Astrophysics · Physics 2009-10-31 L. E. Montenegro , C. Yuan , B. G. Elmegreen

We present the results of non linear, hydrodynamic simulations, in three dimensions, of the tidal perturbation of accretion discs in binary systems where the orbit is circular and not necessarily coplanar with the disc mid-plane. The…

Astrophysics · Physics 2015-06-24 J. D. Larwood , R. P. Nelson , J. C. B. Papaloizou , C. Terquem

Although quasi-Keplerian discs are among the most common astrophysical structures, computation of secular angular momentum transport within them routinely presents a considerable practical challenge. In this work, we investigate the secular…

Earth and Planetary Astrophysics · Physics 2021-02-17 Walker Melton , Konstantin Batygin

We investigate linear dynamics of non-axisymmetric perturbations in incompressible, vertically stratified Keplerian discs with a weak vertical magnetic field in the shearing box approximation. Perturbations are decomposed into shearing…

Earth and Planetary Astrophysics · Physics 2015-06-16 G. R. Mamatsashvili , G. D. Chagelishvili , G. Bodo , P. Rossi

This paper discusses new perspectives and approaches to the problem of disk dynamics where, in this study, we focus on the effects of viscous instabilities influenced by boundary effects. The Boussinesq approximation of the viscous large…

Astrophysics · Physics 2009-11-13 O. M. Umurhan , G. Shaviv
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