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- W2064202364 abstract "Kelvin showed that a two-dimensional vortex under a two-dimensional disturbance in incompressible flow responds at a discrete set of eigenvalues, which were found by Broadbent & Moore ( Phil. Trans. R. Soc. Lond. A 290, 353-371 (1979) to become unstable in a compressible fluid. It is now shown that three-dimensional perturbations are also unstable provided the wavelength is greater than some critical value that depends on the Mach number of the vortex. A critical boundary dividing stable from unstable modes is defined. Most of the results relate to a Rankine vortex, as in the previous work mentioned above, but some results are also given for a vortex with a different velocity profile within the core; qualitatively the same kind of behaviour is found." @default.
- W2064202364 created "2016-06-24" @default.
- W2064202364 date "1984-04-09" @default.
- W2064202364 modified "2023-10-17" @default.
- W2064202364 title "Stability of a compressible two-dimensional vortex under a three-dimensional perturbation" @default.
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- W2064202364 doi "https://doi.org/10.1098/rspa.1984.0032" @default.
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