Faraday waves by resonant triad interaction of surface--compression waves

TL;DR

This paper presents a new theoretical framework for understanding Faraday wave formation through nonlinear resonant triad interactions, considering gravity effects and liquid compressibility.

Contribution

It introduces an alternative description of Faraday wave generation using resonant triad interactions involving surface and compression waves.

Findings

Resonant triad interactions can explain Faraday wave phenomena.

Gravity and compressibility effects are incorporated into the model.

The analysis includes a triad with a compression mode and surface waves.

Abstract

The propagation of wave disturbances over a vertically oscillating liquid may form standing waves, known as Faraday waves. Here we present an alternative description of the generation and evolution of Faraday waves by nonlinear resonant triad interactions, accounting for gravity surface effects and the slight compressibility of the liquid. To this end, we analyse a triad comprising an infinitely long-crested compression mode and two oppositely propagating subharmonic surface waves.