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We study experimentally the onset of Faraday waves near the endwalls of rectangular vessel containing two stably-stratified fluid layers, subject to horizontal oscillations. These subharmonic waves (SWs) are excited, because the horizontal…

Fluid Dynamics · Physics 2025-01-01 Linfeng Piao , Anne Juel

Internal gravity waves contribute to fluid mixing and energy transport, not only in oceans but also in the atmosphere and in astrophysical bodies. We provide here the first experimental measurement of the growth rate of a resonant triad…

Fluid Dynamics · Physics 2015-06-04 Sylvain Joubaud , James Munroe , Philippe Odier , Thierry Dauxois

This paper presents our investigation into the modification of a finite-width internal gravity wave beam arising from triadic resonance instability. We present both experimental and weakly non-linear modelling to examine this instability…

Fluid Dynamics · Physics 2022-12-21 K. M. Grayson , Stuart B. Dalziel , Andrew G. W. Lawrie

We present a systematic nonlinear theory of pattern selection for parametric surface waves (Faraday waves), not restricted to fluids of low viscosity. A standing wave amplitude equation is derived from the Navier-Stokes equations that is of…

patt-sol · Physics 2009-10-30 Peilong Chen , Jorge Vinals

We present an explicit analysis of wave-resonant instability of swirling flows inside fast rotating cylindrical containers. The linear dynamics are decomposed into the interaction between the horizontal inner centrifugal edge waves, the…

Fluid Dynamics · Physics 2017-03-10 Ron Yellin-Bergovoy , Eyal Heifetz , Orkan M. Umurhan

Ferrofluids exhibit two canonical interfacial instabilities, a static Rosensweig (normal-field) instability that produces a lattice of peaks and a dynamical Faraday instability that produces parametrically excited standing waves. Here we…

Soft Condensed Matter · Physics 2025-12-24 Taige Wang , Kaiyuan Gu , Anzhou Wang , Zhentang Wang

A direct numerical simulation of Faraday waves is carried out in a minimal hexagonal domain. Over long times, we observe the alternation of patterns we call quasi-hexagons and beaded stripes. The symmetries and spatial Fourier spectra of…

Pattern Formation and Solitons · Physics 2015-03-20 Nicolas Perinet , Damir Juric , Laurette S. Tuckerman

Plane inertial waves are generated using a wavemaker, made of oscillating stacked plates, in a rotating water tank. Using particle image velocimetry, we observe that, after a transient, the primary plane wave is subject to a subharmonic…

Fluid Dynamics · Physics 2012-05-22 Guilhem Bordes , Frédéric Moisy , Thierry Dauxois , Pierre-Philippe Cortet

A previously unreported regime of type III intermittency is observed in a vertically vibrated milliliter-sized liquid drop submerged in a more viscous and less dense immiscible fluid layer supported by a hydrophobic solid plate. As the…

Fluid Dynamics · Physics 2021-02-03 Andrey Pototsky , Ivan S. Maksymov , Sergey A. Suslov , Justin Leontini

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 amplitude and frequency, only recent studies…

Fluid Dynamics · Physics 2020-08-19 Raffaele Colombi , Michael Schlüter , Alexandra von Kameke

We report on the experimental study of axisymmetric gravity-capillary standing waves generated by a vertically vibrating ring partially immersed into a fluid. Different regimes of standing waves are highlighted at the basin center depending…

Fluid Dynamics · Physics 2023-01-11 Jules Fillette , Stéphan Fauve , Eric Falcon

We present measurements on parametrically driven surface waves (Faraday waves) performed in the vicinity of a bi-critical point in parameter space, where modes with harmonic and subharmonic time dependence interact. The primary patterns are…

Pattern Formation and Solitons · Physics 2007-05-23 Christian Wagner , Hanns Walter Mueller , Klaus Knorr

We report a laboratory investigation of weak turbulence of water surface waves in the gravity-capillary crossover. By using time-space resolved profilometry and a bicoherence analysis, we observe that the nonlinear processes involve 3-wave…

Chaotic Dynamics · Physics 2015-06-24 Quentin Aubourg , Nicolas Mordant

We investigate the generation of standing waves in the model provided by the inhomogeneous telegraph equation under different forcing conditions. We show that sustained standing waves arise only for a specific forcing that is spatially…

Classical Physics · Physics 2026-04-21 José Francisco Pérez-Barragán

Nonlinear waves are studied in a mixture of liquid and gas bubbles. Influence of viscosity and heat transfer is taken into consideration on propagation of the pressure waves. Nonlinear evolution equations of the second and the third order…

Pattern Formation and Solitons · Physics 2011-12-23 Nikolay A. Kudryashov , Dmitry I. Sinelshchikov

At first, a review of our knowledge on the distribution of galaxies at large-scale, leading to a foam-like large-scale structure of the Universe, is presented in the Introduction. Then, it is shown how, according to the present theory for…

General Physics · Physics 2007-05-23 Evangelos Chaliasos

A linear stability analysis of the free surface of a horizontally unbounded ferrofluid layer of arbitrary depth subjected to vertical vibrations and a horizontal magnetic field is performed. A nonmonotonic dependence of the stability…

Pattern Formation and Solitons · Physics 2009-11-07 V. V. Mekhonoshin , Adrian Lange

We study the propagation of monochromatic surface waves on a turbulent flow. The flow is generated in a layer of liquid metal by an electromagnetic forcing. This forcing creates a quasi two-dimensional (2D) turbulence with strong vertical…

Fluid Dynamics · Physics 2015-11-19 Pablo Gutiérrez , Sébastien Aumaitre

The dynamics of coherent nonlinear wave groups is shown to be drastically different from the classical scenario of weakly nonlinear wave interactions. The coherent groups generate non-resonant (bound) waves which can be synchronized with…

Fluid Dynamics · Physics 2018-01-17 A. Slunyaev

We study the propagation of gravitational waves in a collisionless plasma with an external magnetic field parallel to the direction of propagation. Due to resonant interaction with the plasma particles the gravitational wave experiences…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Martin Servin , Gert Brodin , Mattias Marklund
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