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We present the results of a combined experimental and theoretical study of the spreading of viscous droplets over rigid substrates. First, we experimentally investigate the wetting of a roughened glass surface by a viscous droplet of…

Fluid Dynamics · Physics 2026-02-03 David Darrow , Lucas Warwaruk , John W. M. Bush

A liquid drop spreading over a thin heterogeneous precursor film (such as an inhaled droplet on the mucus-lined wall of a lung airway) will experience perturbations in shape and location as its advancing contact line encounters regions of…

Fluid Dynamics · Physics 2018-07-27 Feng Xu , Sam Coveney , Oliver E. Jensen

The spontaneous spreading of non-volatile liquid droplets on solid substrates poses a classic problem in the context of wetting phenomena. It is well known that the spreading of a macroscopic droplet is in many cases accompanied by a thin…

Soft Condensed Matter · Physics 2012-06-18 M. N. Popescu , G. Oshanin , S. Dietrich , A. -M. Cazabat

Flow in thin films is highly dependent on the boundary conditions. Here, we study the capillary levelling of thin bilayer films composed of two immiscible liquids. Specifically, a stepped polymer layer is placed atop another, flat polymer…

Soft Condensed Matter · Physics 2021-01-27 Vincent Bertin , Carmen Lee , Thomas Salez , Elie Raphael , Kari Dalnoki-Veress

When a macroscopic droplet spreads, a thin precursor film of liquid moves ahead of the advancing liquid-solid-vapor contact line. Whereas this phenomenon has been explored extensively for planar solid substrates, its presence in…

Soft Condensed Matter · Physics 2020-12-08 Luisa G. Cencha , Guido Dittrich , Patrick Huber , Claudio L. A. Berli , Raul Urteaga

Dynamics of spreading of viscous non - volatile fluid droplets on surfaces is modelled using a solid - on - solid model, which is studied with Monte Carlo simulations. Tendency for dynamical layering and surface attraction are in part…

Condensed Matter · Physics 2009-10-22 O. Venäläinen , T. Ala-Nissila , K. Kaski

We examine theoretically the spreading of a viscous liquid drop over a thin film of uniform thickness, assuming the liquid's viscosity is regulated by the concentration of a solute that is carried passively by the spreading flow. The solute…

Fluid Dynamics · Physics 2017-05-09 Feng Xu , Oliver E. Jensen

Our understanding of both structure and dynamics of adsorbed liquids heavily relies on the capillary wave Hamiltonian, but a thorough test of this model is still lacking. Here we study the capillary wave fluctuations of a liquid film with…

Soft Condensed Matter · Physics 2013-09-06 Luis G. MacDowell , Jorge Benet , Nebil A. Katcho

The rate of water flow through hydrophobic nanocapillaries is greatly enhanced as compared to that expected from macroscopic hydrodynamics. This phenomenon is usually described in terms of a relatively large slip length, which is in turn…

Mesoscale and Nanoscale Physics · Physics 2016-03-22 Mehdi Neek-Amal , F. M. Peeters , I. V. Grigorieva , A. K. Geim

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

We study the spreading of viscous drops on a solid substrate, taking into account the effects of thermal fluctuations in the fluid momentum. A nonlinear stochastic lubrication equation is derived, and studied using numerical simulations and…

Statistical Mechanics · Physics 2015-06-25 Benny Davidovitch , Esteban Moro , Howard A. Stone

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

It is known that the wavelength of the ripples on icicles in nature is of centimeter-scale. Such study on morphological instability of ice-water interface during ice growth from flowing supercooled water film with one side being a free…

Fluid Dynamics · Physics 2015-05-27 K. Ueno

The effect of viscosity on the wave resistance experienced by a 2d perturbation moving at uniform velocity over the free surface of a fluid is investigated. The analysis is based on Rayleigh's linearized theory of capillary-gravity waves.…

Soft Condensed Matter · Physics 2009-10-31 Denis Richard , Elie Raphael

This work presents a detailed study of the dispersion of capillary waves with small amplitude in viscous fluids using an analytically derived solution to the initial value problem of a small-amplitude capillary wave as well as direct…

Fluid Dynamics · Physics 2016-09-01 Fabian Denner

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 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…

Condensed Matter · Physics 2009-10-28 T. Raafat , J. P. Hulin , H. J. Herrmann

The fragmentation of liquid sheets produces a collection of droplets. The size distribution of the droplets has a considerable impact on the coating efficiency of sprays and the transport of contaminants. Although many processes commonly…

Fluid Dynamics · Physics 2020-04-29 Pascal S. Raux , Anthony Troger , Pierre Jop , Alban Sauret

In this paper we try to work out in detail the implications of a microscopic theory for capillary waves under the assumption that the density is given along lines normal to the interface. Our study provides interface Hamiltonians for…

Soft Condensed Matter · Physics 2017-11-07 Luis G. MacDowell

In this paper we re-examine the flow produced by the normal impact of a laminar liquid jet onto an infinite plane when the flow is dominated by surface tension. It is observed experimentally that after impact the liquid spreads radially…

Fluid Dynamics · Physics 2020-04-02 Rajesh Kumar Bhagat , Paul F. Linden
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