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A global mode analysis of flapping flags

Goza, Andres and Colonius, Tim (2017) A global mode analysis of flapping flags. In: Tenth International Symposium on Turbulence and Shear Flow Phenomena (TSFP10), 6-9 July 2017, Chicago, IL. https://resolver.caltech.edu/CaltechAUTHORS:20190709-092059193

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Abstract

We perform a global stability analysis of a flapping flag in the conventional configuration, in which the flag is pinned or clamped at its leading edge, and in the inverted configuration, in which the flag is clamped at its trailing edge. Specifically, we consider fully coupled fluid-structure interaction for two-dimensional flags at low Reynolds numbers. For the conventional configuration, we show that the unstable global modes accurately predict the onset of flapping for a wide range of mass and stiffness ratios. For the inverted configuration, we identify a stable deformed equilibrium state and demonstrate that as the flag becomes less stiff, this equilibrium undergoes a supercritical Hopf bifurcation in which the least damped mode transitions to instability. Previous stability analyses of inverted flags computed the leading mode of the undeformed equilibrium state and found it to be a zero-frequency (non-flapping) mode, which does not reflect the inherent flapping behavior. We show that the leading mode of the deformed equilibrium is associated with a non-zero frequency, and therefore offers a mechanism for flapping. We emphasize that for both configurations the global modes are obtained from the fully-coupled flow-flag system, and therefore reveal both the most dominant flag shapes and the corresponding flow structures that are pivotal to flag flapping behavior.


Item Type:Conference or Workshop Item (Paper)
Related URLs:
URLURL TypeDescription
http://tsfp10.org/index.htmlRelated ItemSymposium Site
http://tsfp10.org/TSFP10_program/_program.htmlRelated ItemSymposium Program
http://tsfp10.org/TSFP10_program/s333.htmlRelated ItemConference Paper
ORCID:
AuthorORCID
Goza, Andres0000-0002-9372-7713
Colonius, Tim0000-0003-0326-3909
Additional Information:This research was partially supported by a grant from the Jet Propulsion Laboratory (Grant No. 1492185) and by a grant from the Air Force Office of Scientific Research (AFOSR FA9550-14-1-0328). The first author gratefully acknowledges funding from the National Science Foundation Graduate Research Fellowship Program (Grant No. DGE-1144469). We gratefully acknowledge Professor John Sader for helpful discussions on inverted flags.
Funders:
Funding AgencyGrant Number
JPL1492185
Air Force Office of Scientific Research (AFOSR)FA9550-14-1-0328
NSFDGE-1144469
Record Number:CaltechAUTHORS:20190709-092059193
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190709-092059193
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:96953
Collection:CaltechAUTHORS
Deposited By: Melissa Ray
Deposited On:09 Jul 2019 20:44
Last Modified:03 Oct 2019 21:26

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