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Journal articles
A merging criterion for two-dimensional co-rotating vortices
Abstract : We propose a quantitative criterion for the merging of a pair of equal two-dimensional co-rotating vortices. A cross-validation between experimental and theoretical analyses is performed. Experimental vortices are generated by the roll-up of a vortex sheet originating from the identical and impulsive rotation of two plates. The phenomenon is then followed up in time until a rapid pairing transition occurs for which critical parameters are measured. In the theoretical approach, the nonlinear Euler solution representing a pair of equal vortices is computed for various nonuniform vorticity distributions. The stability analysis of such a configuration then provides critical values for the onset of merging. From this data set, a criterion depending on global impulse quantities is extracted for different shapes of the vorticity distribution. This theoretical statement agrees well with our experimentally based criterion.
Cited literature [26 references]
https://hal.archives-ouvertes.fr/hal-00081683
Contributor : Patrice Meunier <>
Submitted on : Thursday, June 28, 2007 - 12:29:41 PM
Last modification on : Monday, March 29, 2021 - 3:16:04 PM
Long-term archiving on: : Monday, April 5, 2010 - 11:19:21 PM
Contributor : Patrice Meunier <>
Submitted on : Thursday, June 28, 2007 - 12:29:41 PM
Last modification on : Monday, March 29, 2021 - 3:16:04 PM
Long-term archiving on: : Monday, April 5, 2010 - 11:19:21 PM
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