An optimal transient growth of small perturbations in thin gaseous discs
arXiv:1109.2108 · doi:10.1134/S1063773712010069
Abstract
A thin gaseous disc with an almost keplerian angular velocity profile, bounded by a free surface and rotating around point-mass gravitating object is nearly spectrally stable. Despite that the substantial transient growth of linear perturbations measured by the evolution of their acoustic energy is possible. This fact is demonstrated for the simple model of a non-viscous polytropic thin disc of a finite radial size where the small adiabatic perturbations are considered as a linear combination of neutral modes with a corotational radius located beyond the outer boundary of the flow.
15 pages, 5 figures, accepted for publication in AstL
References in corpus (5)
- Vortices in Thin, Compressible, Unmagnetized Disks
- On self-sustaining processes in Rayleigh-stable rotating plane Couette flows and subcritical transition to turbulence in accretion disks
- Hydrodynamic stability and mode coupling in Keplerian flows: local strato-rotational analysis
- Possible origin of viscosity in the Keplerian accretion disks due to secondary perturbation: Turbulent transport without magnetic field
- Hydrodynamical activity in thin accretion disks