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We report on an experimental investigation of the propagation of gravity-capillary waves in a narrow channel with a pinned contact line. By using Fourier Transform Profilometry (FTP) we measure the static curved meniscus as well as the…

Fluid Dynamics · Physics 2022-01-13 Eduardo Monsalve , Agnès Maurel , Vincent Pagneux , Philippe Petitjeans

We present the microscopic equation of growing interface with quenched noise for the Tang and Leschhorn model [L. H. Tang and H. Leschhorn, Phys. Rev. A {\bf 45}, R8309 (1992)]. The evolution equation for the height, the mean height, and…

Statistical Mechanics · Physics 2009-10-31 L. A. Braunstein , R. C. Buceta , A. Diaz-Sanchez

In this work, we extend the model of contact angles that we have previously developed for sessile drops on a wetted surface to the case of a meniscus in a capillary. The underlying physics of our model describe the intermolecular forces…

Fluid Dynamics · Physics 2023-12-20 Leonid Pekker , David Pekker , James Myrick

Recent experiments have revealed that the meniscus formed near a surface-piercing barrier can significantly alter the propagation and scattering of capillary-gravity surface waves, beyond what classic flat-surface models predict. In…

Fluid Dynamics · Physics 2025-04-17 Guoqin Liu , Zhengwu Wang , Likun Zhang

The propagation and roughening of a liquid-gas interface moving through a disordered medium under the influence of capillary forces is considered. The system is described by a phase-field model with conserved dynamics and spatial disorder…

Statistical Mechanics · Physics 2009-10-31 M. Dube , M. Rost , K. Elder , M. Alava , S. Majaniemi , T. Ala-Nissila

The propagation of water waves is altered when interacting with curved surfaces. Here, we consider the problem of capillary waves interacting with a 3D meniscus. We show that when capillary waves scatter off an object surrounded by a…

Fluid Dynamics · Physics 2026-01-08 Cade Sbrocco , Yukun Sun , Chris Roh

We investigate the behaviour of accelerating contact lines in an unsteady quasi-capillary channel flow. The configuration consists of a liquid column that moves along a vertical 2D channel, open to the atmosphere and driven by a controlled…

Fluid Dynamics · Physics 2022-05-11 Manuel Ratz , Domenico Fiorini , Alessia Simonini , Christian Cierpka , Miguel A. Mendez

We account for the presence of surface charges towards describing variations in the dynamic contact angle of an advancing liquid-gas meniscus. Starting from the thin-film based formalism, we present closed-form analytical expressions…

Fluid Dynamics · Physics 2015-09-11 Palash V. Acharya , Kaustav Chaudhury , Suman Chakraborty

In this note, we revisit the problem of the pressure-driven transport of a meniscus through a narrow cylindrical capillary or pore. This generic process finds many applications in science and technology. As it is known that Direct Numerical…

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…

Soft Condensed Matter · Physics 2010-07-27 Alvaro Dominguez , Martin Oettel , S. Dietrich

We study the phase equilibria of a fluid confined in an open capillary slit formed when a wall of finite length $H$ is brought a distance $L$ away from a second macroscopic surface. This system shows rich phase equilibria arising from the…

Soft Condensed Matter · Physics 2021-09-10 Alexandr Malijevský , Andrew O. Parry

We present the microscopic equation of growing interface with quenched noise for the Tang and Leschhorn model [{\em Phys. Rev.} {\bf A 45}, R8309 (1992)]. The evolution equations for the mean heigth and the roughness are reached in a simple…

Statistical Mechanics · Physics 2015-06-25 L. A. Braunstein , R. C. Buceta , A. Diaz-Sanchez

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…

Soft Condensed Matter · Physics 2025-05-27 Florian Raßhofer , Simon Bauer , Alexander Ziepke , Ivan Maryshev , Erwin Frey

The liquid shape between two vertical parallel plates in a gravity field due to capillary forces is studied. When the physical system achieves its mechanical equilibrium, the capillary surface has mean curvature proportional to its height…

Differential Geometry · Mathematics 2015-06-26 Rafael López

We report experiments on the full space and time resolved statistics of capillary wave turbulence at the air-water interface. The three-dimensional shape of the free interface is measured as a function of time by using the optical method of…

Fluid Dynamics · Physics 2013-03-18 Michael Berhanu , Eric Falcon

We present theoretical and numerical results that demonstrate the sensitivity of the shape of a static meniscus in a rectangular channel to localised geometric perturbations in the form of narrow ridges and grooves imposed on the channel…

Fluid Dynamics · Physics 2022-02-16 Eleanor C. Johnstone , Andrew L. Hazel , Oliver E. Jensen

The evolution of an initially prepared distribution of micron sized colloidal particles, trapped at a fluid interface and under the action of their mutual capillary attraction, is analyzed by using Brownian dynamics simulations. At a…

Soft Condensed Matter · Physics 2011-11-29 J. Bleibel , A. Dominguez , M. Oettel , S. Dietrich

Capillary-driven transport offers a simple, self-sustained alternative to externally pumped microfluidic systems, yet achieving precise control of such flows remains challenging. We experimentally and theoretically investigate capillary…

Fluid Dynamics · Physics 2026-03-03 Harsha Desu , Niladri S. Satpathi , Lokesh Malik , Ashis K. Sen

In this paper we consider a multiscale phase-field model for capillarity-driven flows in porous media. The presented model constitutes a reduction of the conventional Navier-Stokes-Cahn-Hilliard phase-field model, valid in situations where…

There is mounting evidence indicating that relaxation dynamics in liquids approaching their glass transition not only becomes increasingly cooperative (1,2) but the relaxing regions also become more compact in shape(3-7). While the surface…

Statistical Mechanics · Physics 2018-02-21 Divya Ganapathi , Hima K Nagamanasa , A. K. Sood , Rajesh Ganapathy
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