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Stability of a potential vortex with a non-rotating and rigid-body rotating top-hat jet core

Published online by Cambridge University Press:  29 March 2006

Martin Lessen ,
Narayan V. Deshpande  and
Bernard Hadji-Ohanes
Martin Lessen
Affiliation:
Department of Mechanical and Aerospace Sciences, University of Rochester, New York
Narayan V. Deshpande
Affiliation:
Department of Mechanical and Aerospace Sciences, University of Rochester, New York
Bernard Hadji-Ohanes
Affiliation:
Department of Mechanical and Aerospace Sciences, University of Rochester, New York
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Abstract

The stability of a potential vortex with a rotating and a non-rotating jet core is analysed. Eigenvalues are calculated numerically for different values of the ratio of the strength of the vortex to the axial velocity. These results show that the potential vortex becomes unstable in the presence of a jet.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 60 , Issue 3 , 18 September 1973 , pp. 459 - 466
Copyright
© 1973 Cambridge University Press

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References

Batchelor, G. K. & Gill, A. E. 1962 J. Fluid Mech. 14, 529.
Crow, S. C. 1970 A.I.A.A. J. 8, 2172.
Kelvin, Lord 1880 Phil. Mag. 10 (5), 155.
Parks, P. C. 1970 Proc. Symp. on Aircraft Wake Turbulence, Seattle (eds. J. H. Olson, A. Goldburg & M. Rogers), p. 535.
Ponstein, J. 1959 Appl. Sci. Res. A, 8, 425.
Rayleigh, Lord 1916 Proc. Roy. Soc. A, 93, 148.
Uberoi, M. S., Chow, C.-Y. & Narain, J. P. 1972 Phys. Fluids, 15, 1718.
Widnall, S. E. & Bliss, D. B. 1971 J. Fluid Mech. 50, 335.