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research article

Open-loop control of a separated boundary layer

Boujo, Edouard  
•
Gallaire, François  
•
Ehrenstein, Uwe
2014
Comptes Rendus Mécanique

Linear optimal gains $G_{opt}(\omega)$ are computed for the separated boundary-layer flow past a two-dimensional bump in the subcritical regime. Very large values are found, making it possible for small-amplitude noise to be strongly amplified and to destabilize the flow. Next, a variational technique is used to compute the sensitivity of $G_{opt}(\omega)$ to steady control (volume force in the flow, or blowing/suction at the wall). The bump summit is identified as the region the most sensitive to wall control. Based on these (linear) sensitivity results, a simple open-loop control strategy is designed, with steady wall suction at the bump summit. Calculations on non-linear base flows confirm that optimal gains can be significantly reduced at all frequencies using this control. Finally, sensitivity analysis is applied to the length of the recirculation region $l_c$ and reveals that the above control configuration is also the most efficient to shorten the recirculation region. This suggests that $l_c$ is a relevant macroscopic parameter to characterize wall-bounded separated flows, which could be used as a proxy for energy amplification when designing steady open-loop control.

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Type
research article
DOI
10.1016/j.crme.2014.01.014
Web of Science ID

WOS:000339644800008

Author(s)
Boujo, Edouard  
Gallaire, François  
Ehrenstein, Uwe
Date Issued

2014

Publisher

Elsevier France-Editions Scientifiques Medicales Elsevier

Published in
Comptes Rendus Mécanique
Volume

342

Issue

6-7

Start page

403

End page

409

Subjects

Separated flow

•

Flow instability

•

Flow control

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LFMI  
Available on Infoscience
June 12, 2014
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/104213
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