Inertial waves near corotation in 3D hydrodynamical disks

Details Inertial waves near corotation in 3D hydrodynamical disks Inertial waves near corotation in 3D hydrodynamical disks

2009-07-03

arxiv.org/abs/0907.0641v3

Mon.Not.Roy.Astron.Soc.399:1058-1073,2009

Astronomy and Astrophysics

Astrophysics

High Energy Astrophysical Phenomena

17 pages, 5 figures. MNRAS accepted. V2 - Section 5.2 moved to appendix and errors removed

Scientific paper

10.1111/j.1365-2966.2009.15350.x

This paper concerns the interaction between non-axisymmetric inertial waves and their corotation resonances in a hydrodynamical disk. Inertial waves are of interest because they can localise in resonant cavities circumscribed by Lindblad radii, and as a consequence exhibit discrete oscillation frequencies that may be observed. It is often hypothesised that these trapped eigenmodes are affiliated with the poorly understood QPO phenomenon. We demonstrate that a large class of non-axisymmetric 3D inertial waves cannot manifest as trapped normal modes. This class includes any inertial wave whose resonant cavity contains a corotation singularity. Instead, these `singular' modes constitute a continuous spectrum and, as an ensemble, are convected with the flow, giving rise to shearing waves. Lastly, we present a simple demonstration of how the corotation singularity stabilizes three-dimensional perturbations in a slender torus.

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