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Three-dimensional stability of a vortex pair

Billant, Paul and Brancher, Pierre and Chomaz, Jean-Marc Three-dimensional stability of a vortex pair. (1999) Physics of Fluids, 11 (8). 2069-2077. ISSN 1070-6631

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Official URL: http://dx.doi.org/10.1063/1.870069

Abstract

This paper investigates the three-dimensional stability of the Lamb-Chaplygin vortex pair. Short-wavelength instabilities, both symmetric and antisymmetric, are found. The antisymmetric mode possesses the largest growth rate and is indeed the one reported in a recent experimental study [J. Fluid Mech. 360, 85 1998]. The growth rates, wave numbers of maximum amplification, and spatial eigenmodes of these short-wavelength instabilities are in good agreement with the predictions from elliptic instability theory. A long-wavelength symmetric instability similar to the Crow instability of a pair of vortex filaments is also recovered. Oscillatory bulging instabilities, both symmetric and antisymmetric, are identified albeit their growth rates are lower than for the short-wavelength instabilities. Their behavior and eigenmodes resemble those of the oscillatory bulging instability occurring in the mixing layer.

Item Type:Article
Additional Information:Thanks to American Institute of Physics editor. The original PDF of the article can be found at : https://aip.scitation.org/doi/10.1063/1.870069
HAL Id:hal-01727550
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > Ecole Polytechnique (FRANCE)
Other partners > Météo France (FRANCE)
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Deposited By: Pierre BRANCHER
Deposited On:09 Mar 2018 10:52

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