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From microfluidics to fog-harvesting applications, tiny droplets are transported along various solid substrates including hairs, threads, grooves, and other light structures. Driven by gravity, a droplet sliding along a vertical fiber is a…

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…

Fluid Dynamics · Physics 2020-09-10 Dinh-Tuan Phan , Hao Yu , Tuan Tran

The Plateau's problem seeks to determine a surface of minimal area which spans a given boundary. It is widely studied for its varied mathematical formulations, applications and relevance to physical models such as soap films. We revisit the…

Classical Analysis and ODEs · Mathematics 2024-10-17 Kennedy Obinna Idu

In a set of experiments, Couder et. al. demonstrate that an oscillating fluid bed may propagate a bouncing droplet through the guidance of the surface waves. We present a dynamical systems model, in the form of an iterative map, for a…

Chaotic Dynamics · Physics 2015-06-04 David Shirokoff

Lubrication equations for a surfactant-driven flow of a thin layer of fluid are considered with a singular surfactant-dependent surface tension. It is shown that there exists a bounded traveling wave solution which connects a fully…

Analysis of PDEs · Mathematics 2014-01-15 Joachim Escher , Matthieu Hillairet , Philippe Laurencot , Christoph Walker

We analyze a solenoidal motion in a vertically vibrated freely suspended thin smectic film. We demonstrate analytically that transverse oscillations of the film generate two-dimensional vortices in the plane of the film owing to…

Fluid Dynamics · Physics 2016-06-22 V. M. Parfenyev , S. S. Vergeles , V. V. Lebedev

We study average flow properties in porous media using a two-dimensional network simulator. It models the dynamics of two-phase immiscible bulk flow where film flow can be neglected. The boundary conditions are biperiodic which provide a…

Soft Condensed Matter · Physics 2007-05-23 Henning Arendt Knudsen , Alex Hansen

We experimentally study the flow past a rigid plate with an attached closed filament acting as a deformable afterbody in the soap film. The complex fluid-structure interactions due to its deformable shape and corresponding dynamics are…

Fluid Dynamics · Physics 2020-07-22 Song Gao , Song Pan , Huaicheng Wang , Xinliang Tian

In this paper we provide the first examples of non-flat soap films proven to span tetrahedra. These are members of a continuous two parameter family of soap films with tetrahedral boundaries. Of particular interest is a two parameter…

Differential Geometry · Mathematics 2008-09-03 Robert Huff

Of concern is the study of a system of three equations describing the motion of a viscous complete wetting two-phase thin film endowed with a layer of insoluble surfactant on the surface of the upper fluid under the effects of capillary…

Analysis of PDEs · Mathematics 2016-08-30 Gabriele Bruell

Pattern formation of a thin layer of vertically agitated wet granular matter is investigated experimentally. Due to the strong cohesion arising from the capillary bridges formed between adjacent particles, agitated wet granular matter…

Soft Condensed Matter · Physics 2013-01-24 Kai Huang Lorenz Butzhammer , Ingo Rehberg

The aim of this study is to derive accurate models for quantities characterizing the dynamics of droplets of non-vanishing viscosity in capillaries. In particular, we propose models for the uniform-film thickness separating the droplet from…

Fluid Dynamics · Physics 2018-07-03 Gioele Balestra , Lailai Zhu , François Gallaire

We present the results of an experimental investigation into buoyant rigid spheres rising through highly concentrated collections of hydrated hydrogel particles. The volume fraction of particles is such that the mechanical properties of the…

Soft Condensed Matter · Physics 2026-01-13 Tom Mullin , Tommaso Pettinari , Joshua A. Dijksman

Droplets bouncing on a vibrated liquid bath open ways to methods of manipulating droplets, creating double emulsion and performing pilot wave model experiments. In this work, we focus on the role of the droplet deformations in the vertical…

Fluid Dynamics · Physics 2015-06-12 Denis Terwagne , François Ludewig , Nicolas Vandewalle , Stéphane Dorbolo

In this paper we review simulation and experimental studies of thermal capillary wave fluctuations as an ideal means for probing the underlying disjoining pressure and surface tensions, and more generally, fine details of the Interfacial…

Soft Condensed Matter · Physics 2014-06-26 Luis G. MacDowell , Jorge Benet , Nebil A. Katcho , Jose G. Palanco

The tribology of a bubble rubbing on a solid surface is studied via interferometry. A unique experimental setup is designed for monitoring the thickness profiles of a wetting film, intercalated between the bubble and hydrophilic glass…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 S. I. Karakashev , K. W. Stoeckelhuber , R. Tsekov , C. M. Phan , G. Heinrich

We probe the flow of two dimensional foams, consisting of a monolayer of bubbles sandwiched between a liquid bath and glass plate, as a function of driving rate, packing fraction and degree of disorder. First, we find that bidisperse,…

Soft Condensed Matter · Physics 2015-05-13 Gijs Katgert , Andrzej Latka , Matthias E. Möbius , Martin van Hecke

It was recently observed that sand flowing down a vertical tube sometimes forms a traveling density pattern in which a number of regions with high density are separated from each other by regions of low density. In this work, we consider…

Condensed Matter · Physics 2016-08-14 Jysoo Lee , Michael Leibig

We investigate experimentally the effect of wind on the dynamics of a viscous liquid film flowing down a thread. The liquid film is well-known to destabilize into an axisymmetric bead-like pattern in stagnant air. When the flowing film is…

Fluid Dynamics · Physics 2022-12-22 Annette Cazaubiel , Andreas Carlson

This review article examines the complex dynamics of thin-film flows of granular suspensions spreading over rigid solid substrates with free air interfaces. Such systems feature an involved coupling of the free-surface dynamics with the…

Soft Condensed Matter · Physics 2025-10-14 Alice Pelosse , Elisabeth Guazzelli , Matthieu Roché