The instability of a straight vortex filament in a strain field
- 4 November 1975
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences
- Vol. 346 (1646), 413-425
- https://doi.org/10.1098/rspa.1975.0183
Abstract
A straight infinite vortex of finite cross section is deformed by the action of weak irrotational plane strain. The deformed vortex is shown, in the absence of axial flow, to be unstable to disturbances whose axial wavelengths lie in a narrow band, whose width is proportional to the imposed strain. The band is centred on the wavelength of the helical wave which does not propagate on the unstrained circular vortex. Thus support is given to the instability mechanism proposed recently by Widnall, Bliss & Tsai (1974). The argument depends, however, on the mirror image of the helical wave also being a possible non-propagating disturbance on the unstrained vortex.Keywords
This publication has 4 references indexed in Scilit:
- The instability of short waves on a vortex ringJournal of Fluid Mechanics, 1974
- On the stability of vortex ringsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1973
- The motion of a vortex filament with axial flowPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1972
- Structure of a Line Vortex in an Imposed StrainPublished by Springer Science and Business Media LLC ,1971