Streaming patterns in Faraday waves

  title={Streaming patterns in Faraday waves},
  author={Nicolas P{\'e}rinet and Pablo Guti{\'e}rrez and H{\'e}ctor Urra and Nicol{\'a}s Mujica and Leonardo Gordillo},
  journal={Journal of Fluid Mechanics},
  pages={285 - 310}
Wave patterns in the Faraday instability have been studied for decades. Besides the rich wave dynamics observed at the interface, Faraday waves hide elusive flow patterns in the bulk – streaming patterns – which have not been studied experimentally. The streaming patterns are responsible for a net circulation in the flow, which is reminiscent of the circulation in convection cells. In this article, we analyse these streaming flows by conducting experiments in a Faraday-wave set-up using… 

Three dimensional flows beneath a thin layer of 2D turbulence induced by Faraday waves

Faraday waves occur on a fluid being subject to vertical shaking. Although it is well known that form and shape of the wave pattern depend on driving amplitude and frequency, only recent studies

Localized Faraday patterns under heterogeneous parametric excitation.

This work studies both experimentally and theoretically the effect of heterogeneous forcing on Faraday waves and shows that vibrations restricted to finite regions lead to the formation of localized subharmonic wave patterns and change the onset of the instability.

Measurements of Sub-Surface Velocity Fields in Quasi-2D Faraday Flow

Faraday waves are capillary ripples that form on the surface of a fluid being subject to vertical shaking. Although it is well known that the form and shape of the waves pattern depend on driving

Streaming controlled by meniscus shape

Surface waves called meniscus waves often appear in systems that are close to the capillary length scale. Since the meniscus shape determines the form of the meniscus waves, the resulting streaming

Effect of the Stokes boundary layer on the dynamics of particle pairs in an oscillatory flow

The alignment of a pair of spherical particles perpendicular to a horizontally oscillating flow is attributed to a non-zero residual flow, known as steady streaming. This phenomenon is the basis of

Pattern formation on time-dependent domains

In the quest to understand the dynamics of distributed systems on time-dependent spatial domains, we study experimentally the response to domain deformations by Faraday wave patterns – standing waves

Faraday waves over a permeable rough substrate.

It is observed that, in comparison with the flat plate, a mesh leads to an increase of the critical acceleration, whereas the wavelength is not significantly altered in none of the explored cases.

Mean flow produced by small-amplitude vibrations of a liquid bridge with its free surface covered with an insoluble surfactant.

It is seen that the flow patterns show a nonmonotone behavior as the Marangoni number is increased, and the strength of the mean flow at the free surface exhibits two well-defined regimes as the forcing amplitude increases, which show fairly universal power-law behaviors.

Slanted snaking of localized Faraday waves

We report on an experimental, theoretical and numerical study of slanted snaking of spatially localized parametrically excited waves on the surface of a water-surfactant mixture in a Hele-Shaw cell.

Large-scale vertical vorticity generated by two crossing surface waves

Two crossed surface waves generate vertical vorticity in a viscous fluid due to hydrodynamic nonlinearity. We find parameters of the induced flow and investigate its excitation and damping dynamics,



Nearly Inviscid Faraday Waves in Slightly Rectangular Containers(Oscillation, Chaos and Network Dynamics in Nonlinear Science)

In the weakly inviscid regime parametrically driven surface gravity-capillary waves generate oscillatory viscous boundary layers along the container walls and the free surface. Through nonlinear

Drift instability of standing Faraday waves

We consider the weakly nonlinear evolution of the Faraday waves produced in a vertically vibrated two-dimensional liquid layer, at small viscosity. It is seen that the surface wave evolves to a

Coupled Amplitude-Streaming Flow Equations for Nearly Inviscid Faraday Waves in Small Aspect Ratio Containers

A set of asymptotically exact coupled amplitude-streaming flow equations governing the evolution of weakly nonlinear nearly inviscid multimode Faraday waves and the associated streaming flow in finite geometries are derived.

Measurement of the velocity field in parametrically excited solitary waves

Abstract Parametrically excited solitary waves emerge as localized structures in high-aspect-ratio free surfaces subject to vertical vibrations. Herein, we provide the first experimental

Mass transport in water waves

  • M. Longuet-Higgins
  • Physics
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
  • 1953
It was shown by Stokes that in a water wave the particles of fluid possess, apart from their orbital motion, a steady second-order drift velocity (usually called the mass-transport velocity). Recent

Non-propagating hydrodynamic solitons in a quasi-one dimensional free surface subject to vertical vibrations

Non-propagating hydrodynamic solitons are nonlinear localized structures that appear in liquid free surfaces with high aspect ratio and are subject to a certain type of energy injection, such as

Experimental study on the clustering of floaters on the free surface of a turbulent flow

We present an experimental study of the statistical properties of millimetric spheres floating on the surface of a turbulent flow. The flow is generated in a layer of liquid metal by an

Faraday Waves

Faraday Waves is a short audio-visual work written as a companion piece for a concert-hall performance of Poeme electronique by Varese, which uses speech rhythms found in the e.e. cummings poem I Carry Your Heart With Me as the starting point for the creation of the music.