Journal
JOURNAL OF FLUID MECHANICS
Volume 691, Issue -, Pages 583-593Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2011.494
Keywords
bifurcation; flow-structure interactions
Categories
Funding
- French ANR [ANR-06-JCJC-0087]
- European Commission [PIOE-GA-2009-252542]
- Agence Nationale de la Recherche (ANR) [ANR-06-JCJC-0087] Funding Source: Agence Nationale de la Recherche (ANR)
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The flapping flag instability occurs when a flexible cantilevered plate is immersed in a uniform airflow. To this day, the nonlinear aspects of this aeroelastic instability are largely unknown. In particular, experiments in the literature all report a large hysteresis loop, while the bifurcation in numerical simulations is either supercritical or subcritical with a small hysteresis loop. In this paper, the discrepancy is addressed. First, weakly nonlinear stability analyses are conducted in the slender-body and two-dimensional limits, and, second, new experiments are performed with flat and curved plates. The discrepancy is attributed to inevitable planeity defects of the plates in the experiments.
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