On the stability of compressible differentially rotating cylinders - II
Open Access
- 1 September 1987
- journal article
- research article
- Published by Oxford University Press (OUP) in Monthly Notices of the Royal Astronomical Society
- Vol. 228 (1) , 77-100
- https://doi.org/10.1093/mnras/228.1.77
Abstract
The stability of differentially rotating fluid cylinders is re-examined. One kind of instability occurring is shown to be due to resonant interaction of modes belonging to different boundaries. A detailed description of the mode interaction is given applicable both to surface and sound waves. We classify the modes due to their physical origin and provide a general scheme of their order. The second kind of instability is due to energy loss from the system, in particular due to acoustic radiation. A physical interpretation is given for both of the instabilities in terms of the energy of a mode.Keywords
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