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Bénard-von Kármán instability: transient and forced regimes
Abstract
The wake of a circular cylinder is investigated near the oscillation threshold by means of a laser probe. Above the threshold the transient regime is studied and described by a Stuart-Landau law (already found to be relevant in explaining free-oscillating regimes). Below the critical point, impulse and resonant regimes are examined, so the coefficients of the Stuart-Landau equation are determined. Moreover, in the supercritical regime, the behaviour of the (externally forced) oscillating system is described, varying parameters such as threshold deviation, forcing frequency and amplitude. The different zones of entrainment and desynchronization are given for simple or harmonic frequency.
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Citations
Cited by
Pattern formation outside of equilibrium
Cross, M. C., & Hohenberg, P. C. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.851 · Cited by 7,859
Three-dimensional Floquet stability analysis of the wake of a circular cylinder
Barkley, D., & Henderson, R. D. (1996) · Journal of Fluid Mechanics · doi:10.1017/s0022112096002777 · Cited by 896
GLOBAL INSTABILITIES IN SPATIALLY DEVELOPING FLOWS: Non-Normality and Nonlinearity
Chomaz, J.-M. (2005) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fluid.37.061903.175810 · Cited by 733
Structural sensitivity of the first instability of the cylinder wake
GIANNETTI, F., & LUCHINI, P. (2007) · Journal of Fluid Mechanics · doi:10.1017/s0022112007005654 · Cited by 572
Perspectives on bluff body aerodynamics
Roshko, A. (1993) · Journal of Wind Engineering and Industrial Aerodynamics · doi:10.1016/0167-6105(93)90007-b · Cited by 494
Metadata
- Authors
- Provansal, M., Mathis, C., & Boyer, L.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1987-09
- Volume
- 182
- Pages
- 1-22
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2116932688
- Cited by
- 574
- References
- 0
- FWCI
- 7.00
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Bénard-von Kármán instability: transient and forced regimes. https://app.cochat.ai/papers/10.1017/s0022112087002222
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- Provansal, M., Mathis, C., & Boyer, L. (1987). Bénard-von Kármán instability: transient and forced regimes. Journal of Fluid Mechanics. https://doi.org/10.1017/s0022112087002222
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