Elliptic instability in a Rankine vortex with axial flow

The elliptic instability of a Rankine vortex with axial flow subject to a weak strain field perpendicular to its axis is analyzed by asymptotic methods in the limit of small strain rate. General unstable modes associated with resonant Kelvin modes of arbitrary azimuthal wavenumbers are considered. B...

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Bibliographic Details
Published in:Physics of fluids (1994) 2005-01, Vol.17 (1), p.017101-017101-5
Main Authors: Lacaze, Laurent, Birbaud, Anne-Laure, Le Dizès, Stéphane
Format: Article
Language:English
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Summary:The elliptic instability of a Rankine vortex with axial flow subject to a weak strain field perpendicular to its axis is analyzed by asymptotic methods in the limit of small strain rate. General unstable modes associated with resonant Kelvin modes of arbitrary azimuthal wavenumbers are considered. Both the effects of axial flow and viscosity are analyzed in details.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.1814987