no. 3
On the motion of a small body immersed in a two-dimensional incompressible perfect fluid
[Sur le mouvement d'un petit corps solide immergé dans un fluide parfait incompressible en deux dimensions]
Bulletin de la Société Mathématique de France, Tome 142 (2014) no. 3, pp. 489-536

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.

Dans cet article nous prouvons que le mouvement d'un petit corps solide immergé dans un fluide parfait incompressible en deux dimensions converge, quand le corps se rétrécit en un point, avec sa masse et sa circulation fixées, vers une variante du système « Euler+point vortex » où le vortex, placé au point où le solide a rétréci, est accéléré par un terme de force de portance similaire à la force de Kutta-Joukowski de la théorie irrotationnelle.

Publié le :
DOI : 10.24033/bsmf.2672
Classification : 76B99, 70E99
Keywords: Fluid-solid interactions, incompressible perfect fluid, vortex-wave system, Kutta-Joukowski force.
Mots-clés : Interactions fluide-solide, fluide parfait incompressible, système « Euler+point vortex », force de Kutta-Joukowski. 
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     author = {Glass, Olivier and Lacave, Christophe and Sueur, Franck},
     title = {On the motion of a small body immersed in a two-dimensional incompressible perfect fluid},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {489--536},
     year = {2014},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {142},
     number = {3},
     doi = {10.24033/bsmf.2672},
     mrnumber = {3295721},
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     url = {https://www.numdam.org/articles/10.24033/bsmf.2672/}
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Glass, Olivier; Lacave, Christophe; Sueur, Franck. On the motion of a small body immersed in a two-dimensional incompressible perfect fluid. Bulletin de la Société Mathématique de France, Tome 142 (2014) no. 3, pp. 489-536. doi: 10.24033/bsmf.2672

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