Skip to main content
Journal cover image

The instability of short waves on a vortex ring

Publication ,  Journal Article
Widnall, SE; Bliss, DB; Tsai, CY
Published in: Journal of Fluid Mechanics
January 1, 1974

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 & Sullivan (1973) is discussed and their experimental results are compared with the predictions of the analysis presented here. © 1974, Cambridge University Press. All rights reserved.

Duke Scholars

Altmetric Attention Stats
Dimensions Citation Stats

Published In

Journal of Fluid Mechanics

DOI

EISSN

1469-7645

ISSN

0022-1120

Publication Date

January 1, 1974

Volume

66

Issue

1

Start / End Page

35 / 47

Related Subject Headings

  • Fluids & Plasmas
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Widnall, S. E., Bliss, D. B., & Tsai, C. Y. (1974). The instability of short waves on a vortex ring. Journal of Fluid Mechanics, 66(1), 35–47. https://doi.org/10.1017/S0022112074000048
Widnall, S. E., D. B. Bliss, and C. Y. Tsai. “The instability of short waves on a vortex ring.” Journal of Fluid Mechanics 66, no. 1 (January 1, 1974): 35–47. https://doi.org/10.1017/S0022112074000048.
Widnall SE, Bliss DB, Tsai CY. The instability of short waves on a vortex ring. Journal of Fluid Mechanics. 1974 Jan 1;66(1):35–47.
Widnall, S. E., et al. “The instability of short waves on a vortex ring.” Journal of Fluid Mechanics, vol. 66, no. 1, Jan. 1974, pp. 35–47. Scopus, doi:10.1017/S0022112074000048.
Widnall SE, Bliss DB, Tsai CY. The instability of short waves on a vortex ring. Journal of Fluid Mechanics. 1974 Jan 1;66(1):35–47.
Journal cover image

Published In

Journal of Fluid Mechanics

DOI

EISSN

1469-7645

ISSN

0022-1120

Publication Date

January 1, 1974

Volume

66

Issue

1

Start / End Page

35 / 47

Related Subject Headings

  • Fluids & Plasmas
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences