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タイトルThe instability of the thin vortex ring of constant vorticity
著者(英)Tsai, C.-Y.; Widnall, S. E.
著者所属(英)Massachusetts Inst. of Tech.|NASA Ames Research Center
発行日1977-10-13
言語eng
内容記述A theoretical study indicating that vortex rings at moderate Reynolds numbers are unstable to azimuthal bending waves is presented. Only the case of a thin vortex ring with a core of constant vorticity in an inviscid flow is examined. The disturbance flow and the mean flow of the vortex ring are derived as asymptotic solutions near the core; the stability analysis is developed completely for a certain class of bending waves that are unstable on a line filament in the presence of strain. The vortex ring is found to be always unstable for at least two wavenumbers for which waves on a line filament of the same vorticity distribution would not rotate. Published experimental results are cited to support these conclusions.
NASA分類FLUID MECHANICS AND HEAT TRANSFER
レポートNO78A14622
権利Copyright
URIhttps://repository.exst.jaxa.jp/dspace/handle/a-is/434687


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