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On the motion of a small body immersed in a two dimensional incompressible perfect fluid

Glass, Olivier; Lacave, Christophe; Sueur, Franck (2014), On the motion of a small body immersed in a two dimensional incompressible perfect fluid, Bulletin de la Société mathématique de France, 142, 3, p. 489-536

Type
Article accepté pour publication ou publié
External document link
http://fr.arXiv.org/abs/1104.5404
Date
2014
Journal name
Bulletin de la Société mathématique de France
Volume
142
Number
3
Publisher
Société mathématique de France
Pages
489-536
Metadata
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Author(s)
Glass, Olivier
Lacave, Christophe cc
Sueur, Franck
Abstract (EN)
In this paper we prove that the motion of a solid body in a two dimensional incompressible perfect fluid converges, when the body shrinks to a point with fixed mass and circulation, to a variant of the vortex-wave system where the vortex, placed in the point occupied by the shrunk body, is accelerated by a lift force similar to the Kutta-Joukowski force of the irrotational theory.
Subjects / Keywords
Intéraction fluide structure; fluides parfaits incompressibles