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We report experimental measurements of density waves in granular materials flowing down in a capillary tube. The density wave regime occurs at intermediate flow rates between a low density free fall regime and a high compactness slower…

凝聚态物理 · 物理学 2009-10-28 T. Raafat , J. P. Hulin , H. J. Herrmann

We construct small-amplitude solitary traveling gravity-capillary water waves with a finite number of point vortices along a vertical line, on finite depth. This is done using a local bifurcation argument. The properties of the resulting…

偏微分方程分析 · 数学 2016-12-12 Kristoffer Varholm

In this paper we consider the steady water wave problem for waves that possess a merely $L_r-$integrable vorticity, with $r\in(1,\infty)$ being arbitrary. We first establish the equivalence of the three formulations--the velocity…

偏微分方程分析 · 数学 2013-11-28 Calin Iulian Martin , Bogdan-Vasile Matioc

We present and analyze a theoretical model for the dynamics and interactions of "capillary surfers," which are millimetric objects that self-propel while floating at the interface of a vibrating fluid bath. In our companion paper [1], we…

流体动力学 · 物理学 2024-11-25 Anand U. Oza , Giuseppe Pucci , Ian Ho , Daniel M. Harris

We investigate the dynamics of colloids at a fluid interface driven by attractive capillary interactions. At submillimeter length scales, the capillary attraction is formally analogous to two-dimensional gravity. In particular it is a…

软凝聚态物质 · 物理学 2010-07-27 Alvaro Dominguez , Martin Oettel , S. Dietrich

We show that capillary waves can exist at the the boundary between miscible co-flowing fluids. We unveil that the interplay between transient interfacial stresses and confinement drives the progressive transition from the well-known…

One of the most noticeable collective motion of non-cohesive granular matter is clustering under certain conditions. In particular, when a quasi-two-dimensional monolayer of mono-disperse non-cohesive particles is vertically vibrated, a…

软凝聚态物质 · 物理学 2015-06-11 Li-Hua Luu , Gustavo Castillo , Nicolás Mujica , Rodrigo Soto

We investigate steady symmetric gravity water waves on finite depth. For non-positive vorticity it is shown that the particles display a mean forward drift, and for a class of waves we prove that the size of this drift is strictly…

数学物理 · 物理学 2007-12-05 Mats Ehrnstrom

The motion of a gas-liquid interface along a solid wall is influenced by the capillary forces resulting from the interface's shape and its interaction with the solid, where it forms a dynamic contact angle. Capillary models play a…

Grain flows through pipes are frequently found in various settings, such as in pharmaceutical, chemical, petroleum, mining and food industries. In the case of size-constrained gravitational flows, density waves consisting of alternating…

软凝聚态物质 · 物理学 2018-02-13 Carlos Azael Alvarez Zambrano , Erick de Moraes Franklin

In a recent paper, Hur & Wheeler [J. Differential Equations, 338:572-590, 2022] proved the existence of periodic steady water waves over an infinitely deep, two-dimensional and constant vorticity flow under the influence of gravity. These…

偏微分方程分析 · 数学 2025-07-02 Francisco Gonçalves

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…

凝聚态物理 · 物理学 2007-05-23 F. Daviaud , J. M. Vince

The interaction of 'walking droplets' and capillary waves in a weakly subcritical Faraday wave experiment has been studied as a hydrodynamic analog to Bohmian quantum mechanics (see "Hydrodynamic Quantum Analogs", J. Bush and A. Oza, Rep.…

流体动力学 · 物理学 2025-12-02 Emily Dunn , Bavand Keshavarz , Earl Dowell

Evidence for capillary waves at a liquid/vapor interface are presented from extensive molecular dynamics simulations of a system containing up to 1.24 million Lennard-Jones particles. Careful measurements show that the total interfacial…

统计力学 · 物理学 2009-10-31 Scott W. Sides , Gary S. Grest , Martin-D. Lacasse

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…

偏微分方程分析 · 数学 2026-02-10 Changzhen Sun , Erik Wahlén

The dynamics of phase-separated interfaces shape the behavior of both passive and active condensates. While surface tension in equilibrium systems minimizes interface length, non-equilibrium fluxes can destabilize flat or constantly curved…

软凝聚态物质 · 物理学 2025-05-27 Florian Raßhofer , Simon Bauer , Alexander Ziepke , Ivan Maryshev , Erwin Frey

We derive analytical formulas for the wake and wave drag of a disturbance moving arbitrarily at the air-water interface. We show that, provided a constant velocity is reached in finite time, the unsteady surface displacement converges to…

流体动力学 · 物理学 2024-04-05 Lucas Gierczak , Assil Fadle , Maxence Arutkin , Elie Raphaël , Michael Benzaquen

The discovery of topological phases of matter, initially driven by theoretical advances in quantum condensed matter physics, has been recently extended to classical wave systems, reaching out to a wealth of novel potential applications in…

介观与纳米尺度物理 · 物理学 2023-06-30 Nicolas Laforge , Vincent Laude , Franck Chollet , Abdelkrim Khelif , Muamer Kadic , Yuning Guo , Romain Fleury

When a liquid droplet impacts a vibrated micro-structured surface with asymmetric topology, the liquids perform a horizontal motion during its bouncing. The moving effect is observed when the liquid is in contact with a low surface energy…

流体动力学 · 物理学 2020-09-10 Dinh-Tuan Phan , Hao Yu , Tuan Tran

We discuss the scaling laws for the flow generated in a viscous fluid by a wave propagating along a solid boundary. This has applications to the displacement of tiny objects on solids, under the effect of progressive surface waves and for…

流体动力学 · 物理学 2013-05-21 Yves Pomeau