Flapping states of a flag in an inviscid fluid: Bistability and the transition to chaos

Silas Alben; Michael J. Shelley

doi:10.1103/PhysRevLett.100.074301

Flapping states of a flag in an inviscid fluid: Bistability and the transition to chaos

Silas Alben, Michael J. Shelley

Mathematics

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Abstract

We investigate the "flapping flag" instability through a model for an inextensible flexible sheet in an inviscid 2D flow with a free vortex sheet. We solve the fully-nonlinear dynamics numerically and find a transition from a power spectrum dominated by discrete frequencies to an apparently continuous spectrum of frequencies. We compute the linear stability domain which agrees with previous approximate models in scaling but differs by large multiplicative factors. We also find hysteresis, in agreement with previous experiments.

Original language	English (US)
Article number	074301
Journal	Physical Review Letters
Volume	100
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevLett.100.074301
State	Published - Feb 28 2008

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Physics and Astronomy(all)

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Flapping states of a flag in an inviscid fluid: Bistability and the transition to chaos

Abstract

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