Viscous Damping Forces on Oscillating Cylinders

J.J.H. Brouwers, T.E.M. Meyssen

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    Abstract

    Theoretical descriptions have been derived for the fluid force on a sinusoidally vibrating cylinder. The descriptions were obtained by applying perturbation expansion techniques to the Navier-Stokes equations based on small amplitude-to-radius ratio = e/a and large vibratory Reynolds number R = a2 ¿/¿, where ¿ is frequency of vibration and ¿ is kinematic viscosity. By developing solutions for higher-order terms in the perturbation expansion involving , information was obtained on the behaviour of the hydrodynamic force as increases. Results derived, supplemented with experimental evidence, indicate that the hydrodynamic damping force changes rather abruptly from viscous damping as described by Stokes, to much larger quadratic fluid drag at = 0(1).
    Original languageEnglish
    Pages (from-to)118-123
    JournalApplied Ocean Research
    Volume7
    Issue number3
    DOIs
    Publication statusPublished - 1985

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