La rupture de l'axisymétrie des écoulements entraînés par la rotation d'un disque au fond d'une cuve cylindrique de rapport de forme h=1 est étudiée numériquement. Au delà d'un nombre de Reynolds critique, l'écoulement bifurque vers des solutions tridimensionnelles. Les caractéristiques spatiales et temporelles des branches atteintes sont analysées.
The symmetry-breaking in a swirling flow generated inside a cylindrical tank of aspect ratio h=1 by the rotation of one lid is studied numerically. Beyond a critical Reynolds number, the flow undergoes a bifurcation to three-dimensional solutions. The spatial and temporal behaviour on these branches are examined.
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Keywords: fluid mechanics, rotating flow, symmetry-breaking, transition, direct numerical simulation
Emerson Barbosa 1 ; Olivier Daube 1
@article{CRMECA_2002__330_11_791_0,
author = {Emerson Barbosa and Olivier Daube},
title = {Solutions multiples pour les \'ecoulements tridimensionnels en rotation},
journal = {Comptes Rendus. M\'ecanique},
pages = {791--796},
publisher = {Elsevier},
volume = {330},
number = {11},
year = {2002},
doi = {10.1016/S1631-0721(02)01534-6},
language = {fr},
}
Emerson Barbosa; Olivier Daube. Solutions multiples pour les écoulements tridimensionnels en rotation. Comptes Rendus. Mécanique, Volume 330 (2002) no. 11, pp. 791-796. doi : 10.1016/S1631-0721(02)01534-6. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)01534-6/
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