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We examine the interaction between floating cylindrical objects and surface waves in the gravity regime. Since the impact of resonance phenomena associated with floating bodies, particularly at laboratory scales, remains underexplored, we…

We report on the scattering of a plane wave from a vertically oscillating plate in the low frequency approximation by means of Floquet theory. In the case of a static plate, the scattering coefficients are evaluated via mode matching method…

Classical Physics · Physics 2024-12-02 Magdalini Koukouraki , Philippe Petitjeans , Agnès Maurel , Vincent Pagneux

We report the observation of capillary wave turbulence on the surface of a fluid layer in a low-gravity environment. In such conditions, the fluid covers all the internal surface of the spherical container which is submitted to random…

Other Condensed Matter · Physics 2009-05-06 Claudio Falcon , Eric Falcon , Umberto Bortolozzo , Stéphan Fauve

We consider a spherical variant of the Faraday problem, in which a spherical drop is subjected to a time-periodic body force, as well as surface tension. We use a full three-dimensional parallel front-tracking code to calculate the…

Fluid Dynamics · Physics 2019-05-14 Ali-higo Ebo-Adou , Laurette S. Tuckerman , Seungwon Shin , Jalel Chergui , Damir Juric

We report experimental observations of traveling waves in a pure fluid with a free surface situated in a long container submitted to a horizontal temperature gradient perpendicular to its large extension. Above a critical value of the…

Condensed Matter · Physics 2007-05-23 F. Daviaud , J. M. Vince

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

We measure the velocities of the mean flows which are driven by curved rolls in a pattern formation system. Curved rolls in Faraday waves are generated in experimental cells consisting of channels with varying widths. The mean flow…

Pattern Formation and Solitons · Physics 2007-05-23 Peilong Chen

Capillary waves excited by the vertical oscillations of a thin elongated plate below an air-water interface are analyzed using time-resolved measurements of the surface topography. A parametric instability is observed above a well defined…

Pattern Formation and Solitons · Physics 2015-06-03 F. Moisy , G. -J. Michon , M. Rabaud , E. Sultan

This is a study of two-dimensional steady periodic travelling waves on the surface of an infinitely deep irrotational ocean, when the top streamline is in contact with a membrane which has a nonlinear response to stretching and bending, and…

Analysis of PDEs · Mathematics 2008-05-06 Pietro Baldi , John F. Toland

We perform experiments to study the inverse cascade regime of gravity wave turbulence on the surface of a fluid. Surface waves are forced at an intermediate scale corresponding to the gravity-capillary wavelength. In response to this…

Fluid Dynamics · Physics 2011-10-27 Luc Deike , Claude Laroche , Eric Falcon

The coupled motion is investigated for a mechanical system consisting of water and a body freely floating in it. Water occupies either a half-space or a layer of constant depth into which an infinitely long surface-piercing cylinder is…

Analysis of PDEs · Mathematics 2020-12-01 Nikolay Kuznetsov

Hydrodynamic instability of a gravity-driven flow down an inclined plane is investigated in the presence of a floating elastic plate which rests on the top surface of the flow. Linear instability of the system with respect to infinitesimal…

Fluid Dynamics · Physics 2020-03-17 Siluvai Antony Selvan , Sukhendu Ghosh , Harekrushna Behera , Michael H. Meylan

The coupled motion is investigated for a mechanical system consisting of water and a body freely floating in it. Water occupies either a half-space or a layer of constant depth into which an infinitely long surface-piercing cylinder is…

Mathematical Physics · Physics 2015-03-10 Nikolay Kuznetsov

Theoretical and experimental results for in-plane vibrations of a uniform rectangular plate with free boundary conditions are obtained. The experimental setup uses electromagnetic-acoustic transducers and a vector network analyzer. The…

Other Condensed Matter · Physics 2016-02-22 A. Arreola-Lucas , J. A. Franco-Villafañe , G. Báez , R. A. Méndez-Sánchez

The turbulence of capillary waves on the surface of a ferrofluid with a high permeability in a horizontal magnetic field is considered in the framework of a one-dimensional weakly nonlinear model. In the limit of a strong magnetic field,…

Fluid Dynamics · Physics 2020-02-21 Evgeny A. Kochurin

We present a theoretical study of nonlinear pattern formation in parametric surface waves for fluids of low viscosity, and in the limit of large aspect ratio. The analysis is based on a quasi-potential approximation to the equations…

patt-sol · Physics 2025-02-25 Wenbin Zhang , Jorge Vinals

We study modulational stability and instability in the Whitham equation, combining the dispersion relation of water waves and a nonlinearity of the shallow water equations, and modified to permit the effects of surface tension and constant…

Analysis of PDEs · Mathematics 2015-08-28 Vera Mikyoung Hur , Mathew A. Johnson

We study free surface water waves in a 2-D symmetric triangular channel with sides that have a 45o slope. We develop models for small amplitude nonlinear waves, extending earlier studies that have considered the linearized problem. We see…

Fluid Dynamics · Physics 2022-08-31 P. Panayotaros , R. M. Vargas-Magaña

The motion of an interface separating two fluids under the effect of electric fields is a subject that has picked the attention of researchers from different areas. While there is an abundance of studies investigating the free surface wave…

Fluid Dynamics · Physics 2023-03-29 Marcelo V. Flamarion , Tao Gao , Roberto Ribeiro-Jr

Flow of a thin viscous film down a flat inclined plane becomes unstable to long wave interfacial fluctuations when the Reynolds number based on the mean film thickness becomes larger than a critical value (this value decreases as the angle…

Fluid Dynamics · Physics 2016-01-20 Alice B. Thompson , Dmitri Tseluiko , Demetrios T. Papageorgiou