English

Hydroelastic wake on a thin elastic sheet floating on water

Fluid Dynamics 2019-01-30 v1 Soft Condensed Matter

Abstract

We investigate the hydroelastic wake 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 stretching. The bending modulus and the tension in the sheet are independently measured. Excellent agreement is found between the experimental data and the theoretical expression.

Keywords

Cite

@article{arxiv.1806.07472,
  title  = {Hydroelastic wake on a thin elastic sheet floating on water},
  author = {Jean-Christophe Ono-dit-Biot and Miguel Trejo and Elsie Loukiantcheko and Max Lauch and Elie Raphaël and Kari Dalnoki-Veress and Thomas Salez},
  journal= {arXiv preprint arXiv:1806.07472},
  year   = {2019}
}
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