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

TL;DR

This study investigates Faraday waves in a water vessel covered with an elastic sheet, combining experiments and a Hamiltonian-based theory to analyze instability thresholds and pattern wavelengths.

Contribution

It introduces a theoretical model that accurately predicts Faraday wave behavior in elastic-covered fluids, validated by experimental data.

Findings

Good agreement between theory and experiment for threshold amplitude

The dispersion relation from the model matches experimental results

Threshold amplitude and wavelength depend on oscillation frequency

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.