Astronomy and Astrophysics – Astrophysics
Scientific paper
2008-12-28
Astronomy and Astrophysics
Astrophysics
15 pages
Scientific paper
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 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.
Bhattacharjee Jayanta K.
Bhattacharya Atri
Das Tapas K.
Ray Arnab K.
No associations
LandOfFree
Quasi-viscous accretion flow -- I: Equilibrium conditions and asymptotic behaviour does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quasi-viscous accretion flow -- I: Equilibrium conditions and asymptotic behaviour, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasi-viscous accretion flow -- I: Equilibrium conditions and asymptotic behaviour will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-478184