Faraday Waves in a Low-Viscosity Fluid Covered with a Floating Elastic Sheet

Abstract

The standing surface waves in a rectangular vertically oscillating vessel filled with water (Faraday waves) in the presence of a floating elastic sheet are studied experimentally and theoretically. The threshold amplitude of the instability and the wavelength of the patterns are measured as a function of the frequency. A theoretical model based on Hamiltonian method is used to describe the system. Using the experimental attenuation coefficients, we see a very good agreement between the theory and the experiment for threshold amplitude. Also, the dispersion relation obtained from the theory is consistent with experiments.