viscous pulsational instability of the transonic region of isothermal geometrically thin accretion discs – I. Analytical results
نویسندگان
چکیده
منابع مشابه
On the thermal stability of transonic accretion discs
Nonlinear time-dependent calculations have been carried out in order to study the evolution of the thermal instability for vertically integrated, non self-gravitating models of optically thick, transonic, slim accretion discs around black holes. In these calculations we investigated only the original version of the slim disc model with low viscosity (α = 0.001) and for a stellar mass (10M⊙) bla...
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We study the two-dimensional structure of thin transonic accretion discs in the vicinity of a non-spinning black hole within the framework of hydrodynamical version of the Grad-Shafranov equation. Our analysis focuses on the region inside the marginally stable orbit (MSO), r < rms. We show that all components of the dynamical force in the disc become significant near the sonic surface and (espe...
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A first-order correction in the α-viscosity parameter of Shakura & Sunyaev has been introduced in the standard inviscid and thin accretion disc. A linearised time-dependent perturbative study of the stationary solutions of this “quasi-viscous” disc leads to the development of a secular instability on large spatial scales. This qualitative feature is equally manifest for two different types of p...
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Axisymmetric magnetorotational instability (MRI) in viscous accretion disks is investigated by linear analysis and two-dimensional nonlinear simulations. The linear growth of the viscous MRI is characterized by the Reynolds number defined as RMRI ≡ v A/νΩ, where vA is the Alfvén velocity, ν is the kinematic viscosity, and Ω is the angular velocity of the disk. Although the linear growth rate is...
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In this paper we revisit the issue of the propagation of warps in thin and viscous accretion discs. In this regime warps are know to propagate diffusively, with a diffusion coefficient approximately inversely proportional to the disc viscosity. Previous numerical investigations of this problem (Lodato & Pringle 2007) did not find a good agreement between the numerical results and the prediction...
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ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 1988
ISSN: 0035-8711,1365-2966
DOI: 10.1093/mnras/231.1.37