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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/574

Title: Quasi-viscous accretion flow—I: Equilibrium conditions and asymptotic behaviour
Authors: Bhattacharjee, Jayanta K
Bhattacharya, Atri
Das, Tapas K
Ray, Arnab K
Keywords: accretion discs – black hole physics – hydrodynamics – instabilities
Issue Date: 2008
Publisher: Monthly Notices of The Royal Astronomical Society
Citation: J. K. Bhattacharjee, A. Bhattacharya, T. K. Das, A. K. Ray, Quasi viscous accretion flow- I. Equilibrium conditions and asymptotic behaviour, Monthly Notices of The Royal Astronomical Society, 2008, 398, 841
Abstract: In a novel approach to studying viscous accretion flows, viscosity has been introduced as a perturbative effect, involving a first-order correction in the α-viscosity parameter. Thismethod reduces the problem of solving a second-order nonlinear differential equation (Navier-Stokes equation) to that of an effective first-order equation. Viscosity breaks down the invariance of the equilibrium conditions for stationary inflow and outflow solutions, and distinguishes accretion from wind. Under a dynamical systems classification, the only feasible critical points of this “quasi-viscous” flow are saddle points and spirals. A linearised and radially propagating time-dependent perturbation gives rise to secular instability on large spatial scales of the disc. Further, on these same length scales, the velocity evolution equation of the quasi-viscous flow has been transformed to bear a formal closeness with Schr¨odinger’s equation with a repulsive potential. Compatible with the transport of angular momentum to the outer regions of the disc, a viscosity-limited length scale has been defined for the full spatial extent over which the accretion process would be viable.
URI: http://hdl.handle.net/123456789/574
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