Acoustic amplification in discs and tori

Details Acoustic amplification in discs and tori Acoustic amplification in discs and tori

Dec 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.217..821d&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 217, Dec. 15, 1985, p. 821-829. Research supported by C

Computer Science

Sound

42

Acoustic Instability, Corotation, Disks (Shapes), Rotating Fluids, Sound Amplification, Toroids, Frequency Stability, Richardson Number, Wave Propagation

Scientific paper

Consideration is given to the differential equations governing the normal modes of an axisymmetric differentially-rotating fluid system. A projective transformation of the flow equations, which can be used to derive the necessary and sufficient conditions for the corotation region to behave as an acoustic amplifier is obtained. The principal condition identified is that the local Richardson number for the corotation region be less than one quarter. Solutions for the equations governing the growing and neutral modes of the rotating fluid system are given in an appendix.

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