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Equilibrium configuration of a rectangular obstacle immersed in a channel flow

par Bonheure, Denis ;Galdi, Giovanni Paolo;Gazzola, Filippo
Référence Comptes rendus. Mathématique, 358, 8, page (887-896)
Publication Publié, 2020-05-01

Article révisé par les pairs

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Résumé :

Fluid flows around an obstacle generate vortices which, in turn, generate lift forces on the obstacle. Therefore, even in a perfectly symmetric framework equilibrium positions may be asymmetric. We show that this is not the case for a Poiseuille flow in an unbounded 2D channel, at least for small Reynolds number and flow rate. We consider both the cases of vertically moving obstacles and obstacles rotating around a fixed pin.