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    Nonlinear spacing and frequency effects of an oscillating cylinder in the wake of a stationary cylinder

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    Yang_nonlinear_spacing_2010.pdf (2.730Mb)
    Issue Date
    2010
    Author
    Yang, Xiaofan
    Zheng, Zhongquan Charlie
    Publisher
    American Institute of Physics
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
    Metadata
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    Abstract
    Nonlinear responses to a transversely oscillating cylinder in the wake of a stationary upstream cylinder are studied theoretically by using an immersed-boundary method at Re=100. Response states are investigated in the three flow regimes for a tandem-cylinder system: the “vortex suppression” regime, the critical spacing regime, and the “vortex formation” regime. When the downstream cylinder is forced to oscillate at a fixed frequency and amplitude, the response state of flow around the two cylinders varies with different spacing between the two cylinders, while in the same flow regime, the response state can change with the oscillating frequency and amplitude of the downstream cylinder. Based on velocity phase portraits, each of the nonlinear response states can be categorized into one of the three states in the order of increasing chaotic levels: lock-in, transitional, or quasiperiodic. These states can also be correlated with velocity spectral behaviors. The discussions are conducted using near-wake velocity phase portraits, spectral analyses, and related vorticity fields. A general trend in the bifurcation diagrams of frequency spacing shows the smaller the spacing, frequency, or amplitude, the less chaotic the response state of the system and more likely the downstream and upstream wakes are in the same response state. The system is not locked-in in any case when the spacing between the cylinders is larger than the critical spacing. The near-wake velocity spectral behaviors correspond to the nonlinear response states, with narrow-banded peaks shown at the oscillation frequency and its harmonics in the lock-in cases. High frequency harmonic peaks, caused by interactions between the upstream wake and the downstream oscillating cylinder, are reduced in the near-wake velocity spectra of the upstream cylinder when the spacing increases.
    Description
    This is the published version. Copyright 2010 American Institute of Physics
    URI
    http://hdl.handle.net/1808/18982
    DOI
    https://doi.org/10.1063/1.3372169
    Collections
    • Aerospace Engineering Scholarly Works [44]
    Citation
    Yang, Xiaofan, and Zhongquan Charlie Zheng. "Nonlinear Spacing and Frequency Effects of an Oscillating Cylinder in the Wake of a Stationary Cylinder." Physics of Fluids Phys. Fluids 22.4 (2010): 043601. http://dx.doi.org/10.1063/1.3372169

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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