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From unsteady to quasi-steady dynamics in the streamwise-oscillating cylinder wake

Shamai, Maysam and Dawson, Scott T. M. and Mezić, Igor and McKeon, Beverley J. (2020) From unsteady to quasi-steady dynamics in the streamwise-oscillating cylinder wake. . (Unpublished)

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The flow around a cylinder oscillating in the streamwise direction with a frequency, f_f, much lower than the shedding frequency, f_s, has been relatively less studied than the case when these frequencies have the same order of magnitude, or the transverse oscillation configuration. In this study, Particle Image Velocimetry and Koopman Mode Decomposition are used to investigate the streamwise-oscillating cylinder wake for forcing frequencies f_f/f_s ∼ 0.04−0.2 and mean Reynolds number, R_e₀ = 900. The amplitude of oscillation is such that the instantaneous Reynolds number remains above the critical value for vortex shedding at all times. Characterization of the wake reveals a range of phenomena associated with the interaction of the two frequencies, including modulation of both the amplitude and frequency of the wake structure by the forcing. Koopman analysis reveals a frequency spreading of Koopman modes. A scaling parameter and associated transformation are developed to relate the unsteady, or forced, dynamics of a system to that of a quasi-steady, or unforced, system. For the streamwise-oscillating cylinder, it is shown that this transformation leads to a Koopman Mode Decomposition similar to that of the unforced system.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
McKeon, Beverley J.0000-0003-4220-1583
Additional Information:This work was supported by U.S. Army Research Office grant # W911NF-17-1-0306. The authors would also like to thank Alexandra Techet, Shai Revzen, and Morgan Hooper for insightful discussions and input.
Funding AgencyGrant Number
Army Research Office (ARO)W911NF-17-1-0306
Record Number:CaltechAUTHORS:20200811-092143234
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:104905
Deposited By: Tony Diaz
Deposited On:11 Aug 2020 16:41
Last Modified:11 Aug 2020 16:41

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