The instability of short waves on a vortex ring
摘要：
A simple model for the experimentally observed instability of the vortex ring to azimuthal bending waves of wavelength comparable with the core size is presented. Short-wave instabilities are discussed for both the vortex ring and the vortex pair. Instability for both the ring and the pair is predicted to occur whenever the self-induced rotation of waves on the filament passes through zero. Although this does not occur for the first radial bending mode of a vortex filament, it is shown to be possible for bending modes with a more complex radial structure with at least one node at some radius within the core. The previous work of Widnall and Sullivan (1973) is discussed and their experimental results are compared with the predictions of the analysis presented here.
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关键词：
Flow Stability Nodes (Standing Waves Rotating Fluids Vortex Rings Wave Excitation Asymptotic Methods Bending Theory Dynamic Models Flow Theory Modal Response
DOI：
10.1017/S0022112074000048
被引量：
年份：
1974
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