On the stability of compressible differentially rotating cylinders. II

Statistics – Computation

Scientific paper

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Accretion Disks, Compressible Fluids, Motion Stability, Rotating Cylinders, Rotating Fluids, Stellar Rotation, Boundary Value Problems, Computational Astrophysics, Coupled Modes, Sound Waves, Surface Waves

Scientific paper

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. The author classifies the modes due to their physical origin and provides 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.

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