no. 8
Équations aux dérivées partielles, Mécanique des fluides
Equilibrium configuration of a rectangular obstacle immersed in a channel flow
Bonheure, Denis1 ; Galdi, Giovanni P.2  ; Gazzola, Filippo3
1 Département de Mathématique – Université Libre de Bruxelles, Belgium
2 Department of Mechanical Engineering – University of Pittsburgh, USA
3 Dipartimento di Matematica – Politecnico di Milano, Italy
Comptes Rendus. Mathématique, Tome 358 (2020) no. 8, pp. 887-896.

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.

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DOI : 10.5802/crmath.95
Classification : 35Q30, 35A02, 46E35, 31A15
Bonheure, Denis 1 ; Galdi, Giovanni P. 2 ; Gazzola, Filippo 3

1 Département de Mathématique – Université Libre de Bruxelles, Belgium
2 Department of Mechanical Engineering – University of Pittsburgh, USA
3 Dipartimento di Matematica – Politecnico di Milano, Italy 
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Bonheure, Denis; Galdi, Giovanni P.; Gazzola, Filippo. Equilibrium configuration of a rectangular obstacle immersed in a channel flow. Comptes Rendus. Mathématique, Tome 358 (2020) no. 8, pp. 887-896. doi : 10.5802/crmath.95. http://www.numdam.org/articles/10.5802/crmath.95/

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