Phase-locking of laminar wake to periodic vibrations of a circular cylinder
Khodkar, M. A.
Klamo, Joseph T.
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Phase synchronization between the vortex shedding behind a two-dimensional circular cylinder and its vibrations is investigated using the phase-reduction analysis. Leveraging this approach enables the development of a one-dimensional, linear model with respect to the limit-cycle attractor of the laminar wake, which accurately describes the phase dynamics of the high-dimensional, nonlinear fluid flow and its response to rotational, transverse, and longitudinal vibrations of the cylinder. This phase-based model is derived by assessing the phase response and sensitivity of the wake dynamics to impulse perturbations of the cylinder, which can be performed in simulations and experiments. The resulting model in turn yields the theoretical conditions required for phase-locking between the cylinder vibrations and the wake. We furthermore show that this synchronization mechanism can be employed to stabilize the wake and subsequently reduce drag. We also uncover the circumstances under which the concurrent occurrence of different vibrational motions can be used to promote or impede synchronization. These findings provide valuable insights for the study of vortex-induced body oscillations, the enhancement of aerodynamic performance of flyers, and the mitigation of structural vibrations by synchronizing or desynchronizing the oscillatory motions of a body to the periodic wake.
17 USC 105 interim-entered record; under review.The article of record as published may be found at https://doi.org/10.1103/PhysRevFluids.6.034401
RightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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