Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988mnras.235.1141s&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 235, Dec. 15, 1988, p. 1141-1156.
Astronomy and Astrophysics
Astronomy
1
Polytropic Processes, Rotating Fluids, Transverse Waves, Compressible Flow, Incompressible Fluids
Scientific paper
Waves occurring in a polytropic gas which is rotating in the form of a Rankine vortex with a vacuum funnel about the axial region are considered. The solutions constructed are extensions of those relating to the unfunnelled configuration. In particular it is shown that, for a given nonzero harmonic m, there is an infinite set of unstable transverse waves. This complements the work of Glatzel (1987), who did not report waves for m = 1, and found just two waves for m = 2 or greater. The situation is a little more complicated when the waves have an axial component. In that case for m = 0 there is an acoustic wave and an infinite set of stable waves, whereas for m = 1 or greater there are one or two infinite sets of helical waves (depending on m, the axial wave number, and the Mach number at the periphery of the core of the vortex).
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