Faraday waves by resonant triad interaction of surface--compression waves
@article{Kadri2017FaradayWB, title={Faraday waves by resonant triad interaction of surface--compression waves}, author={Usama Kadri}, journal={arXiv: Fluid Dynamics}, year={2017} }
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.
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References
SHOWING 1-6 OF 6 REFERENCES
On resonant triad interactions of acoustic–gravity waves
- PhysicsJournal of Fluid Mechanics
- 2015
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
- PhysicsJournal of Fluid Mechanics
- 2013
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
- PhysicsJournal of Fluid Mechanics
- 2015
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
- PhysicsJournal of Fluid Mechanics
- 2011
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
- GeologyPhilosophical 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
- Engineering, PhysicsProceedings 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…