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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(Document in English)
PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 338kB |
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 |
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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) |
Laboratory name: | |
Statistics: | download |
Deposited On: | 09 Mar 2018 10:52 |
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