On the stability of compressible differentially rotating cylinders

Details On the stability of compressible differentially rotating cylinders On the stability of compressible differentially rotating cylinders

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987mnras.225..227g&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 225, March 1, 1987, p. 227-255.

Astronomy and Astrophysics

Astronomy

58

Barotropic Flow, Cylindrical Shells, Dynamic Stability, Equations Of State, Fluid Filled Shells, Shell Stability, Compressible Fluids, Incompressible Fluids, Perturbation Theory, Polytropic Processes, Vortices

Scientific paper

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 (1984, 1985) 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, 1986) and the compressible instability of vortices (Broadbent & Moore, 1979) is constructed.

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