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

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 functi...

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Bibliographic Details
Published in:arXiv.org 2023-07
Main Authors: Sardari, Vahideh, Bahmani, Leila, Maleki, Maniya
Format: Article
Language:English
Subjects:
Amplitudes
Attenuation coefficients
Elastic sheets
Surface waves
Online Access:Get full text
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Summary: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.
ISSN:2331-8422