On the stability of compressible differentially rotating cylinders
Open Access
- 1 March 1987
- journal article
- Published by Oxford University Press (OUP) in Monthly Notices of the Royal Astronomical Society
- Vol. 225 (2) , 227-255
- https://doi.org/10.1093/mnras/225.2.227
Abstract
The stability of differentially rotating fluid cylinders obeying a polytropic equation of state is tested. Non-axisymmetric perturbations induce dynamical instabilities discovered previously by Papaloizou & Pringle for the case of accretion tori. Their growth rate is calculated as a function of the azimuthal wavenumber, the rotation law and the radial extension of the cylinder. A connection between the surface wave instability of incompressible cylindrical shells (Blaes & Glatzel) and the compressible instability of vortices (Broadbent & Moore) is constructed.Keywords
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