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- W2025426677 abstract "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 non-zero harmonic m there is an infinite set of unstable transverse waves. This complements the work of another author who did not report waves for m = 1, and for |$m geqslant 2$| found just two waves. 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 |$m geqslant 1$| 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." @default.
- W2025426677 created "2016-06-24" @default.
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- W2025426677 date "1988-12-01" @default.
- W2025426677 modified "2023-09-25" @default.
- W2025426677 title "On some wave solutions in a differentially rotating polytropic gas" @default.
- W2025426677 doi "https://doi.org/10.1093/mnras/235.4.1141" @default.
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