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A note on the instability of columnar vortices

Published online by Cambridge University Press:  20 April 2006

Knut S. Eckhoff
Affiliation:
Department of Mathematics, University of Bergen, Allégt. 55, 5000 Bergen, Norway

Abstract

The inviscid compressible instability of columnar-vortex flows to three-dimensional perturbations with large wavenumbers is considered. The sufficient conditions for instability obtained are compared with recently published results for incompressible fluids.

Type
Research Article
Copyright
© 1984 Cambridge University Press

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References

Chigier, N. A. 1974 Vortexes in aircraft wakes. Sci. Am. 230, 7683.Google Scholar
Eckhoff, K. S. 1981 On stability for symmetric hyperbolic systems, I. J. Diff. Eqns 40, 94115.Google Scholar
Eckhoff, K. S. 1982 On stability for symmetric hyperbolic systems, II. J. Diff. Eqns 43, 281304.Google Scholar
Eckhoff, K. S. & Storesletten, L. 1978 A note on the stability of steady inviscid helical gas flows. J. Fluid Mech. 89, 401411.Google Scholar
Leibovich, S. & Stewartsox, K. 1983 A sufficient condition for the instability of columnar vortices. J. Fluid Mech. 126, 335356.Google Scholar