A note on the stability of a vortex ring of small cross-section
- 16 July 1974
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 338 (1615) , 535-537
- https://doi.org/10.1098/rspa.1974.0102
Abstract
We show by considering the special case of a hollow vortex that the cut-off approximation cannot be used to give a complete discussion of stability. In particular we show that in this case the instability predicted by the cut-off approximation is spurious.Keywords
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