• Corpus ID: 118860366

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

  title={Faraday waves by resonant triad interaction of surface--compression waves},
  author={Usama Kadri},
  journal={arXiv: Fluid Dynamics},
  • U. Kadri
  • Published 3 January 2017
  • Physics
  • arXiv: Fluid Dynamics
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. 

Figures from this paper

Approximate solution of nonlinear triad interactions of acoustic-gravity waves in cylindrical coordinates


On resonant triad interactions of acoustic–gravity waves
The propagation of wave disturbances in water of uniform depth is discussed, accounting for both gravity and compressibility effects. In the linear theory, free-surface (gravity) waves are virtually
Generation of an acoustic-gravity wave by two gravity waves, and their subsequent mutual interaction
Abstract The nonlinear triad interaction of two opposing gravity waves with almost identical frequencies and one much longer acoustic-gravity wave is studied for non-resonance, as well as for exact
Faraday pilot-wave dynamics: modelling and computation
A millimetric droplet bouncing on the surface of a vibrating fluid bath can self-propel by virtue of a resonant interaction with its own wave field. This system represents the first known example of
Information stored in Faraday waves: the origin of a path memory
On a vertically vibrating fluid interface, a droplet can remain bouncing indefinitely. When approaching the Faraday instability onset, the droplet couples to the wave it generates and starts
A theory of the origin of microseisms
  • M. Longuet-Higgins
  • Geology
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
  • 1950
In the past it has been considered unlikely that ocean waves are capable of generating microseismic oscillations of the sea bed over areas of deep water, since the decrease of the pressure variations
The stability of the plane free surface of a liquid in vertical periodic motion
  • T. Benjamin, F. Ursell
  • Engineering, Physics
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1954
A vessel containing a heavy liquid vibrates vertically with constant frequency and amplitude. It has been observed that for some combinations of frequency and amplitude standing waves are formed at