Vortex-induced travelling waves along a cable

We investigate the vortex-induced vibrations (VIV) of a very slender cable subjected to a stationary uniform cross-flow, using a travelling wave approach. A phenomenological model of the near wake based on van der Pol oscillators is developed and tested in comparison with numerical simulations and experimental data. A selection criterion for vortex-induced waves (VIW) is established: the fluid selects the frequency, according to Strouhal's law, and the structure fixes the wavenumber, as dictated by its dispersion relation.

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