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Hydroelastic wake on a thin elastic sheet floating on water

Jean-Christophe Ono-dit-Biot1, Miguel Trejo2, Elsie Loukiantcheko1, Max Lauch1, Elie Raphaël2, Kari Dalnoki-Veress1,2, and Thomas Salez3,4,*

  • 1Department of Physics and Astronomy, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada L8S 4M1
  • 2UMR CNRS Gulliver 7083, ESPCI Paris, PSL Research University, 75005 Paris, France
  • 3Univ. Bordeaux, CNRS, LOMA, UMR 5798, F-33405 Talence, France
  • 4Global Station for Soft Matter, Global Institution for Collaborative Research and Education, Hokkaido University, Sapporo, Hokkaido 060-0808, Japan

  • *thomas.salez@u-bordeaux.fr
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Phys. Rev. Fluids 4, 014808 – Published 24 January, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.014808

Abstract

We investigate the hydroelastic waves created by a perturbation moving at constant speed along a thin elastic sheet floating at the surface of deep water. Using a high-resolution cross-correlation imaging technique, we characterize the waves as a function of the perturbation speed, for different sheet thicknesses. The general theoretical expression for the dispersion relation of hydroelastic waves includes three components: gravity, bending, and tension. The bending modulus and the tension in the sheet are independently measured. The experiments represent a direct test of the theory where all components, bending, stretching, and gravity, cannot be neglected. Excellent agreement is found between the experimental data and the theoretical expression.

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Phys. Rev. Fluids 4, 014808– Published 24 January, 2019
  • Received 19 June 2018
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