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Using the FLUIDICS (Fluid Dynamics in Space) experiment in the International Space Station, turbulence of capillary waves at the air-water interface is experimentally investigated in weightlessness. Capillary waves are excited in a…

Fluid Dynamics · Physics 2020-06-14 Michael Berhanu , Eric Falcon , Guillaume Michel , Christophe Gissinger , Stéphan Fauve

A stochastic second-order wave model is applied to assess the statistical properties of wave orbital velocity in random sea states below the water surface. Directional spreading effects as well as the dependency of the water depth are…

In this paper we construct periodic capillarity-gravity water waves with a piecewise constant vorticity distribution. They describe water waves traveling on superposed linearly sheared currents that have different vorticities. This is…

Analysis of PDEs · Mathematics 2013-02-25 Calin Iulian Martin , Bogdan--Vasile Matioc

Capillary droplets form due to surface tension when two immiscible fluids are mixed. We describe the motion of gravity-driven capillary droplets flowing through narrow constrictions and obstacle arrays in both simulations and experiments.…

In this paper, we investigate the spectral stability of periodic traveling waves in the two dimensional gravity-capillary water wave problem. We derive a stability criterion based on an index function, whose sign determines the spectral…

Analysis of PDEs · Mathematics 2026-02-10 Changzhen Sun , Erik Wahlén

A walking droplet possesses fascinating properties due to its peculiar wave/particle interaction. The self-propelling motion of such a droplet is driven by the Faraday instability triggered around the droplet at each impact. We studied in…

Fluid Dynamics · Physics 2019-04-12 Nicolas Vandewalle , Boris Filoux , Maxime Hubert

The last decade has seen a significant increase in the number of studies devoted to wave turbulence. Many deal with water waves, as modeling of ocean waves has historically motivated the development of weak turbulence theory, which adresses…

Fluid Dynamics · Physics 2021-07-09 Eric Falcon , Nicolas Mordant

We report that the power driving gravity and capillary wave turbulence in a statistically stationary regime displays fluctuations much stronger than its mean value. We show that its probability density function (PDF) has a most probable…

Fluid Dynamics · Physics 2009-11-13 Eric Falcon , Sebastien Aumaitre , Claudio Falcon , Claude Laroche , Stephan Fauve

The viability of the Whitham equation as a nonlocal model for capillary-gravity waves at the surface of an inviscid incompressible fluid is under study. A nonlocal Hamiltonian system of model equations is derived using the Hamiltonian…

Fluid Dynamics · Physics 2020-02-25 Evgueni Dinvay , Daulet Moldabayev , Denys Dutykh , Henrik Kalisch

Molecular dynamics simulations are used to study the capillary adhesion from a nonvolatile liquid meniscus between a spherical tip and a flat substrate. The atomic structure of the tip, the tip radius, the contact angles of the liquid on…

Soft Condensed Matter · Physics 2014-06-10 Shengfeng Cheng , Mark O. Robbins

Capillary waves are a classical free-surface phenomenon in fluid mechanics, yet their behavior in chiral fluids remains largely unexplored. We show that odd viscosity breaks the reciprocity of capillary waves. Using linear theory together…

Fluid Dynamics · Physics 2026-03-17 Holly du Plessis , Pedro Cosme , Hugo França , Maziyar Jalaal

Capillary waves are perhaps the simplest example to consider for an introduction to wave turbulence. Since the first paper by Zakharov and Filonenko (1967), capillary wave turbulence has been the subject of many studies but a didactic…

Fluid Dynamics · Physics 2021-06-09 Sebastien Galtier

The rheology of suspensions showing discontinuous shear thickening (DST) is well documented in conventional rheometer with rotating tools, but their study in capillary flow is still lacking. We present results obtained in a homemade…

Materials Science · Physics 2021-11-29 Georges Bossis , Yan Grasselli , Olga Volkova

Over a sufficiently long period of time, or from an appropriate distance, the motion of many swimmers can appear smooth, with their trajectories appearing almost ballistic in nature and slowly varying in character. These long-time…

Soft Condensed Matter · Physics 2022-02-08 Benjamin J. Walker , Kenta Ishimoto , Eamonn A. Gaffney , Clément Moreau , Mohit P. Dalwadi

Using air to displace a viscous fluid contained in Hele-Shaw cell can create a fingering pattern at the interface between the fluids, if the capillary number exceeds a critical value. This Saffman-Taylor instability is revisited for the…

Fluid Dynamics · Physics 2016-08-03 Ilyesse Bihi , Michael Baudoin , Jason E. Butler , Christine Faille , Farzam Zoueshtiagh

Cilia and flagella are hair-like appendages that protrude from the surface of a variety of eukaryotic cells and deform in a wavelike fashion to transport fluids and propel cells. Motivated by the ubiquity of non-Newtonian fluids in biology,…

Fluid Dynamics · Physics 2014-03-19 J. Rodrigo Vélez-Cordero , Eric Lauga

This work describes a mechanical approach for manipulating the capillary length and spreading of liquid coatings on flexible substrates with high gravity. Experimental verification in the literature has focused on cases under standard…

We experimentally study gravity-capillary wave turbulence on the interface between two immiscible fluids of close density with free upper surface. We locally measure the wave height at the interface between both fluids by means of a highly…

Fluid Dynamics · Physics 2017-03-08 Bruno Issenmann , Claude Laroche , Eric Falcon

We discuss the influence of two-dimensional hexatic order on capillary waves and undulation modes in spherical and cylindrical geometries. In planar geometries, extended bond-orientational order has only a minor effect on the fluctuations…

Soft Condensed Matter · Physics 2009-11-07 Peter Lenz , David R. Nelson

Physical experiments show that a capillary water jet is exponentially unstable under long wave perturbations, while remaining stable under short wave perturbations. Measurements indicate that the exponential growth rate in the long wave…

Analysis of PDEs · Mathematics 2026-03-13 Chengyang Shao , Haocheng Yang