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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

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

Liquid drops start spreading directly after brought into contact with a partial wetting substrate. Although this phenomenon involves a three-phase contact line, the spreading motion is very fast. We study the initial spreading dynamics of…

Fluid Dynamics · Physics 2012-11-19 Koen G. Winkels , Joost H. Weijs , Antonin Eddi , Jacco H. Snoeijer

When a liquid drop falls on a solid substrate, the air layer in between them delays the occurrence of liquid--solid contact. For impacts on smooth substrates, the air film can even prevent wetting, allowing the drop to bounce off with…

Fluid Dynamics · Physics 2023-03-22 Vatsal Sanjay , Srinath Lakshman , Pierre Chantelot , Jacco H. Snoeijer , Detlef Lohse

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

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 consider the dynamics of thin two-dimensional viscous droplets on chemically heterogeneous surfaces moving under the combined effects of slip, mass transfer and capillarity. The resulting long-wave evolution equation for the droplet…

Fluid Dynamics · Physics 2021-12-20 Danny Groves , Nikos Savva

We discuss a thin film evolution equation for a wetting evaporating liquid on a smooth solid substrate. The model is valid for slowly evaporating small sessile droplets when thermal effects are insignificant, while wettability and…

Soft Condensed Matter · Physics 2012-04-11 Desislava Todorova , Uwe Thiele , Len M. Pismen

We consider a thin droplet that spreads over a flat, horizontal and chemically heterogeneous surface. The droplet is subjected to changes in its volume though a prescribed, arbitrary spatiotemporal function, which varies slowly and vanishes…

Fluid Dynamics · Physics 2021-12-21 Nikos Savva , Danny Groves

We present a study of the spreading of liquid droplets on a solid substrate at very small scales. We focus on the regime where effective wetting energy (binding potential) and surface tension effects significantly influence steady and…

Fluid Dynamics · Physics 2017-02-15 Hanyu Yin , David N. Sibley , Uwe Thiele , Andrew J. Archer

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

In this article, we study the spreading of droplets of density-matched granular suspensions on the surface of a solid. Bidispersity of the particle size distribution enriches the conclusions drawn from monodisperse experiments by…

Soft Condensed Matter · Physics 2023-01-25 Alice Pelosse , Élisabeth Guazzelli , Matthieu Roché

In most spray coating and deposition applications, the target surface may be initially dry but with continuous drop impact a thin layer of liquid film is formed on which further impingement occurs. An experimental study of the process of…

Fluid Dynamics · Physics 2023-10-05 Sucharitha Rajendran , MA Jog , RM Manglik

The dynamics of thin volatile droplets comprising of binary mixtures deposited on a heated substrate are investigated. Using lubrication theory, we develop a novel one-sided model to predict the spreading and retraction of an evaporating…

Fluid Dynamics · Physics 2020-09-23 A. G. L. Williams. G. Karapetsas , D. Mamalis , K. Sefiane , O. K. Matar , P. Valluri

We study the spreading of droplets in a near-critical phase-separated liquid mixture, using a combination of experiments, lubrication theory and finite-element numerical simulations. The classical Tanner's law describing the spreading of…

If a droplet is placed on a substrate with a conical shape it spontaneously starts to spread in the direction of a growing fibre radius. We describe this capillary spreading dynamics by developing a lubrication approximation on a cone and…

Fluid Dynamics · Physics 2020-05-13 Tak Shing Chan , Fan Yang , Andreas Carlson

Liquid drops start spreading directly after coming into contact with a solid sub- strate. Although this phenomenon involves a three-phase contact line, the spread- ing motion can be very fast. We experimentally study the initial spreading…

Fluid Dynamics · Physics 2015-06-11 Antonin Eddi , Koen G. Winkels , Jacco H. Snoeijer

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

In this work we study the spreading dynamics of tiny liquid droplets on solid surfaces in the case where the ends of the molecules feel different interactions with respect to the surface. We consider a simple model of dimers and short…

Condensed Matter · Physics 2009-10-28 M. Haataja , J. A. Nieminen , T. Ala-Nissila

The influence of controlled vibrations on the granular rheology is investigated in a specifically designed experiment. We study experimentally a thin granular film spreading under the action of horizontal vibrations. A nonlinear diffusion…

Soft Condensed Matter · Physics 2009-11-13 Ivan Sanchez , Franck Raynaud , Jose Lanuza , Bruno Andreotti , Eric Clement , Igor S. Aranson
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