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We develop a time-dependent conformal method to study the effect of viscosity on steep surface waves. When the effect of surface tension is included, numerical solutions are found that contain highly oscillatory parasitic capillary ripples.…

Fluid Dynamics · Physics 2025-01-14 Josh Shelton , Paul Milewski , Philippe H. Trinh

The study of capillary wave scattering by a circular region with different interfacial properties from the rest of an otherwise homogeneous interface is motivated by experiments on wave attenuation at a monolayer covered air-water interface…

Condensed Matter · Physics 2016-08-31 T. Chou , S. K. Lucas , H. A. Stone

We examine the applicability of the weak wave turbulence theory in explaining experimental scaling results obtained for the diffusion and relative diffusion of particles moving on turbulent surface waves. For capillary waves our theoretical…

Chaotic Dynamics · Physics 2007-09-23 Victor M. Eguiluz , Mogens T. Levinsen , Preben Alstrom

We report the observation of wave turbulence on the surface of a ferrofluid mechanically forced and submitted to a static normal magnetic field. We show that magnetic surface waves arise only above a critical field. The power spectrum of…

Classical Physics · Physics 2008-12-29 François Boyer , Eric Falcon

The dynamics of solitary gravity-capillary water waves propagating on the surface of a three-dimensional fluid domain is studied numerically. In order to accurately compute complex time dependent solutions, we simplify the full potential…

Fluid Dynamics · Physics 2015-06-05 Zhan Wang , Paul A Milewski

We present experimental results for water wave turbulence excited by piston-like programmed wavemakers in a water flume with horisontal dimensions 6x12x1.5 meters. Our main finding is that for a wide range of excitation amplitudes the…

Chaotic Dynamics · Physics 2009-11-11 Petr Denissenko , Sergei Lukaschuk , Sergey Nazarenko

We derive transport equations for the propagation of water wave action in the presence of a static, spatially random surface drift. Using the Wigner distribution $\W(\x,\k,t)$ to represent the envelope of the wave amplitude at position $\x$…

Fluid Dynamics · Physics 2007-05-23 Guillaume Bal , Tom Chou

We investigate experimentally the early stage of the generation of waves by a turbulent wind at the surface of a viscous liquid. The spatio-temporal structure of the surface deformation is analyzed by the optical method Free Surface…

Fluid Dynamics · Physics 2020-12-09 Anna Paquier , Frederic Moisy , Marc Rabaud

In this paper, we study solitary waves propagating along the surface of an infinitely deep body of water in two or three dimensions. The waves are acted upon by gravity and capillary effects are allowed --- but not required --- on the…

Analysis of PDEs · Mathematics 2021-07-30 Robin Ming Chen , Samuel Walsh , Miles H. Wheeler

This work investigates the capillary rise dynamics of highly wetting liquids in a divergent U-tube in the microgravity conditions provided by 78th European Space Agency (ESA) parabolic flight. This configuration produces a capillary-driven…

Fluid Dynamics · Physics 2024-04-26 Domenico Fiorini , Alessia Simonini , Johan Steelant , David Seveno , Miguel A. Mendez

We study the dynamics of an oscillating, free-floating robot that generates radially expanding gravity capillary waves at a fluid surface. In open water, the device does not self-propel; near a rigid boundary, it can be attracted or…

Fluid Dynamics · Physics 2024-02-22 Steven W. Tarr , Joseph S. Brunner , Daniel Soto , Daniel I. Goldman

Capillary ripples on thin viscous films are important features of coating and lubrication flows. Here we present experiments based on Digital Holographic Microscopy, measuring the morphology of capillary ripples ahead of a viscous drop…

Fluid Dynamics · Physics 2020-10-07 Maziyar Jalaal , Carola Seyfert , Jacco Snoeijer

In this paper, we numerically study the wave turbulence of surface gravity waves in the framework of Euler equations of the free surface. The purpose is to understand the variation of the scaling of the spectra with wavenumber $k$ and…

Fluid Dynamics · Physics 2023-06-22 Zhou Zhang , Yulin Pan

When wind blows over the surface of a viscous liquid, a clear transition from irregular small-amplitude streamwise-oriented wrinkles to well-defined nearly two-dimensional regular waves is observed at a critical wind velocity. We examine…

Considered in this paper is a bi-directional model for the propagation of interfacial capillary-gravity waves in a two-layer system of fluids with rigid lid condition for the upper layer and lower layer with a much larger or infinite depth.…

Analysis of PDEs · Mathematics 2020-04-28 A. Durán

In a turbulent boundary layer over a smooth flat plate with zero pressure gradient, the intermediate structure between the viscous sublayer and the free stream consists of two layers: one adjacent to the viscous sublayer and one adjacent to…

Numerical Analysis · Mathematics 2025-10-20 G. I. Barenblatt , A. J. Chorin , V. M. Prostokishin

We experimentally study linear and nonlinear waves on the surface of a fluid covered by an elastic sheet where both tension and flexural waves take place. An optical method is used to obtain the full space-time wave field, and the…

Fluid Dynamics · Physics 2014-02-10 Luc Deike , Jean-Claude Bacri , Eric Falcon

The search for solutions to the theory of weakly non-linear internal gravity wave turbulence is an active research topic. It is notably stimulated by the fact that this regime could drive fine-scale ocean dynamics for which the…

Fluid Dynamics · Physics 2025-09-01 Nicolas Lanchon , Samuel Boury , Pierre-Philippe Cortet

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

In this experimental study, we investigate the interaction of gravity-capillary solitary waves generated by two surface pressure sources moving side by side at constant speed. The nonlinear response of a water surface to a single source…

Fluid Dynamics · Physics 2017-02-13 Naeem Masnadi , James H. Duncan
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