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We study the effects of stochastic thermal fluctuations on the instability of the free surface of a flat liquid film upon a solid substrate. These fluctuations are represented as a standard Brownian motion that can be added to the…

Fluid Dynamics · Physics 2016-01-20 Javier A. Diez , Alejandro G. González , Roberto Fernández

A thin film on a horizontal solid substrate and coated with a soluble surfactant is considered. The governing degenerate parabolic equations for the film height and the surfactant concentrations on the surface and in the bulk are derived…

Analysis of PDEs · Mathematics 2010-02-10 Joachim Escher , Matthieu Hillairet , Philippe Laurençot , Christoph Walker

Practical applications of nanocrystalline metallic thin films are often limited by instabilities. In addition to grain growth, the thin film itself can become unstable and collapse into islands through solid-state dewetting. Selective…

Materials Science · Physics 2020-02-04 Jennifer D. Schuler , Guild Copeland , Khalid Hattar , Timothy J. Rupert , Samuel A. Briggs

Paints and coatings often feature interfacial defects due to disturbances during the deposition process which, if they persist until solidification, worsen the product quality. In this article, we investigate the stability of a thin liquid…

Fluid Dynamics · Physics 2023-07-26 David Barreiro-Villaverde , Anne Gosset , Marcos Lema , Miguel Alfonso Mendez

In the vicinity of their glass transition, dense colloidal suspensions acquire elastic properties over experimental timescales. We investigate the possibility of a visco-elastic flow instability in curved geometry for such materials. To…

Soft Condensed Matter · Physics 2015-08-21 Alexandre Nicolas , Matthias Fuchs

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

We unravel the linear stability properties of an otherwise stagnant ultrathin non-wetting liquid film of thickness $h_o$ coating a spherical substrate of radius $R$. The configuration is known to be unstable due to the competition of the…

Fluid Dynamics · Physics 2023-11-27 D. Moreno-Boza , A. Sevilla

We report an experimental study on the dynamics of a thin film of polymer solution coating a vertical fiber. The liquid film has first a constant thickness and then undergoes the Rayleigh-Plateau instability which leads to the formation of…

Fluid Dynamics · Physics 2013-05-21 François Boulogne , Ludovic Pauchard , Frédérique Giorgiutti-Dauphiné

We study the influence of side walls on the stability of falling liquid films. We combine a temporal biglobal stability analysis based on the linearized Navier-Stokes equations with experiments measuring the spatial growth rate of…

Fluid Dynamics · Physics 2023-06-21 Hammam Mohamed , Jorn Sesterhenn , Luca Biancofiore

The linear dispersion relation for longwave surface perturbations, as derived by Levine et al. Phys. Rev. B 75, 205312 (2007) is extended to include a smooth surface energy anisotropy function with a variable anisotropy strength (from weak…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Mikhail Khenner , Wondimu T. Tekalign , Margo S. Levine

When a droplet impacts a liquid film, a vortex ring form and govern momentum and species transport. We experimentally investigate vortex ring formation, propagation and instability during droplet impact onto liquid films, with particular…

Thin liquid films on surfaces are part of our everyday life, they serve e.g. as coatings or lubricants. The stability of a thin layer is governed by interfacial forces, described by the effective interface potential, and has been subject of…

Soft Condensed Matter · Physics 2015-06-04 Oliver Bäumchen , Renate Fetzer , Mischa Klos , Matthias Lessel , Ludovic Marquant , Hendrik Hähl , Karin Jacobs

We consider the evaporation of a thin liquid layer which consists of a binary mixture of volatile liquids. The mixture is on top of a heated substrate and in contact with the gas phase that consists of the same vapour as the binary mixture.…

Fluid Dynamics · Physics 2020-11-04 R. K. Nazareth , G. Karapetsas , K. Sefiane , O. Matar , P. Valluri

A transient surface instability is reported in thin nematic films of 5CB and 8CB, occurring near the nematic-isotropic phase transition. Although this instability leads to patterns reminiscent of spinodal dewetting, we show that it is…

Soft Condensed Matter · Physics 2007-05-23 Stefan Schlagowski , Karin Jacobs , Stephan Herminghaus

We analyze the stability of sessile filaments (ridges) of nonvolatile liquids versus pearling in the case of externally driven flow along a chemical stripe within the framework of the thin film approximation. The ridges can be stable with…

Soft Condensed Matter · Physics 2009-11-13 S. Mechkov , M. Rauscher , S. Dietrich

We study the effects of vertical sinusoidal vibrations on a liquid droplet with a low surface tension (ethanol) deposited on a solid substrate. In a precise range of amplitudes and frequencies, the drop exhibits a dramatic worm-like shape…

Soft Condensed Matter · Physics 2016-11-24 Arnaud Hemmerle , Guillaume Froehlicher , Vance Bergeron , Thierry Charitat , Jean Farago

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

Thin film dynamics and associated instability mechanisms have triggered a wide range of scientific innovations, as attributed to their abilities of creating fascinating patterns over small scales. Here, we demonstrate a new thin film…

Fluid Dynamics · Physics 2014-12-04 Debapriya Chakraborty , Suman Chakraborty

This work presents a study of the interfacial dynamics of thin viscoelastic films subjected to the gravitational force and substrate interactions induced by the disjoining pressure, in two spatial dimensions. The governing equation is…

Fluid Dynamics · Physics 2022-04-12 Valeria Barra , Shahriar Afkhami , Lou Kondic

We compare the dispersion relations for spinodally dewetting thin liquid films for increasing magnitude of interfacial slip length in the lubrication limit. While the shape of the dispersion relation, in particular the position of the…

Soft Condensed Matter · Physics 2008-07-17 Markus Rauscher , Ralf Blossey , Andreas Münch , Barbara Wagner