Hydroelastic wake on a thin elastic sheet floating on water

Jean-Christophe Ono-Dit-Biot , Miguel Trejo , Elsie Loukiantcheko , Max Lauch , Elie Raphael (1) , Kari Dalnoki-Veress (2) , Thomas Salez (3)

1 LPMC - Laboratoire de Physique de la Matière Condensée
2 Department of Physics and Astronomy [Hamilton, ON]
3 LOMA - Laboratoire Ondes et Matière d'Aquitaine

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.

Domaines: Dynamique des Fluides [physics.flu-dyn]; Mécanique des solides [physics.class-ph]; Mécanique des matériaux [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Science des matériaux [cond-mat.mtrl-sci]; Matière Molle [cond-mat.soft]

Jean-Christophe Ono-Dit-Biot, Miguel Trejo, Elsie Loukiantcheko, Max Lauch, Elie Raphael, et al.. Hydroelastic wake on a thin elastic sheet floating on water. Physical Review Fluids, 2019, 4 (1), ⟨10.1103/PhysRevFluids.4.014808⟩. ⟨hal-02146132⟩