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- W2023626440 abstract "Small adiabatic two-dimensional disturbances, whose dependence on the polar angle, θ , is e -i mθ , occurring in an inviscid compressible fluid rotating as a Rankine vortex, which may be confined in a cylindrical container or extending to all space, are reconsidered with special emphasis to the low Mach number régime. For this régime it is shown that the slow waves in a Rankine vortex in a cylindrical container and the corresponding waves in an unbounded vortex are due to a discontinuity in the gradient of the radial component of the disturbance velocity. The waves in an unbounded vortex are unstable, and, for the low Mach number régime, a simple analytic expression is found for their growth rates. Uncertainties, expressed by two authors, concerning the existence of waves for the cases m = 1 and m = 0 in an unbounded Rankine vortex are clarified; only the solution representing core displacement exists for m = 1 and there are no waves corresponding to m = 0." @default.
- W2023626440 created "2016-06-24" @default.
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- W2023626440 date "1986-06-09" @default.
- W2023626440 modified "2023-09-27" @default.
- W2023626440 title "Adiabatic waves in a Rankine vortex" @default.
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- W2023626440 doi "https://doi.org/10.1098/rspa.1986.0054" @default.
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