Astronomy Letters

, Volume 38, Issue 2, pp 117–127 | Cite as

Optimal growth of small perturbations in thin gaseous disks

Article

Abstract

A thin gaseous disk with a nearly Keplerian rotation profile and free boundaries in the external gravitational field of a point gravitating object does not generate any growing perturbation eigenmodes. In spite of this, a significant transient growth of linear perturbations measured by the evolution of their total acoustic energy is possible in such a disk. This is shown within the framework of the simplest model of an inviscid polytropic thin disk with a finite radial extent in which small adiabatic perturbations that are a linear combination of neutral eigenmodes with a corotation radius beyond the outer flow boundary are considered.

Keywords

accretion accretion disks hydrodynamics turbulence 

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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  1. 1.Moscow State UniversityMoscowRussia
  2. 2.Sternberg Astronomical InstituteMoscowRussia

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