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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

Experiments over the last 50 years have suggested a tentative correlation between the surface (shear) viscosity and the stability of a foam or emulsion. We examine this link theoretically using small-amplitude capillary waves in the…

Fluid Dynamics · Physics 2018-07-04 Li Shen , Fabian Denner , Neal Morgan , Berend van Wachem , Daniele Dini

We present a comprehensive study of the dispersion of capillary waves with finite amplitude, based on direct numerical simulations. The presented results show an increase of viscous attenuation and, consequently, a smaller frequency of…

Fluid Dynamics · Physics 2017-01-27 Fabian Denner , Gounséti Paré , Stéphane Zaleski

A continuum-space bead-spring model is used to study the phase behavior of binary blends of homopolymers and the structure of the interface between the two immiscible phases. The structure of the interface is investigated as a function of…

Soft Condensed Matter · Physics 2009-10-30 Martin-D. Lacasse , Gary S. Grest , Alex J. Levine

The relaxation dynamics of thermal capillary waves for nanoscale liquid films on anisotropic-slip substrates are investigated, using both molecular dynamics (MD) simulations and a Langevin model. The anisotropy of slip on substrates is…

Fluid Dynamics · Physics 2021-09-17 Yixin Zhang , Duncan A. Lockerby , James E. Sprittles

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 free surface induces enhanced dynamics in glass formers. We study the dynamical enhancement of glassy films with a distinguishable-particle lattice model of glass free of elastic effects. We demonstrate that the thickness of the surface…

Soft Condensed Matter · Physics 2025-06-17 Qiang Zhai , Hai-Yao Deng , Xin-Yuan Gao , Leo S. I. Lam , Sen Yang , Ke Yan , Chi-Hang Lam

The capillary levelling of cylindrical holes in viscous polystyrene films was studied using atomic force microscopy as well as quantitative analytical scaling arguments based on thin film theory and self-similarity. The relaxation of the…

Soft Condensed Matter · Physics 2014-04-01 Matilda Backholm , Michael Benzaquen , Thomas Salez , Elie Raphaël , Kari Dalnoki-Veress

We present a computational investigation of thin viscoelastic films and drops on a solid substrate subject to the van der Waals interaction force, in two spatial dimensions. The governing equations are obtained within a long-wave…

Fluid Dynamics · Physics 2016-10-11 Valeria Barra , Shahriar Afkhami , Lou Kondic

A theoretical study is presented of surface waves at a monomolecular surfactant film between an isotropic liquid and a nematic liquid crystal for the case when the surfactant film is in the isotropic two-dimensional fluid phase and induces…

Soft Condensed Matter · Physics 2008-04-15 S. V. Lishchuk

We briefly review recent advances in the hydrodynamic modeling of the dynamics of droplets on adaptive substrates, in particular, solids that are covered by polymer brushes. Thereby, the focus are long-wave and full-curvature variants of…

Fluid Dynamics · Physics 2024-08-05 Simon Hartmann , Jan Diekmann , Daniel Greve , Uwe Thiele

Droplet impact on thin liquid films is commonly studied on quiescent surfaces, although practical systems often involve residual capillary waves generated by preceding droplets. This study examines how such traveling waves modify impact…

Fluid Dynamics · Physics 2026-05-11 Hatim Ennayar , Frederik Roy Patria , Jeanette Hussong

Capillary ripples on thin viscous films are important features of coating and lubrication flows. Here we present experiments based on Digital Holographic Microscopy, measuring the morphology of capillary ripples ahead of a viscous drop…

Fluid Dynamics · Physics 2020-10-07 Maziyar Jalaal , Carola Seyfert , Jacco Snoeijer

Recent experiments of thin films flowing down a vertical fiber with varying nozzle diameters present a wealth of new dynamics that illustrate the need for more advanced theory. We present a detailed analysis using a full lubrication model…

Fluid Dynamics · Physics 2019-01-03 H. Ji , C. Falcon , A. Sadeghpour , Z. Zeng , Y. S. Ju , A. L. Bertozzi

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

We present experiments to study the relaxation of a nano-scale cylindrical perturbation at one of the two interfaces of a thin viscous free-standing polymeric film. Driven by capillarity, the film flows and evolves towards equilibrium by…

Soft Condensed Matter · Physics 2020-05-13 Vincent Bertin , John Niven , Howard A. Stone , Thomas Salez , Elie Raphael , Kari Dalnoki-Veress

The stability of liquid films coating the walls of a parallel-plate channel and sheared by a pressure-driven gas flow along the channel centre is studied. The films are susceptible to a long-wavelength instability, whose dynamic behaviour…

Fluid Dynamics · Physics 2016-04-21 Miklós Vécsei , Mathias Dietzel , Steffen Hardt

The effects of thermal coupling between two thin liquid layers, separated by a gas layer, are discussed. The liquid layers undergo long-wavelength instabilities driven by gravitational and thermocapillary stresses. To study the dynamics,…

Pattern Formation and Solitons · Physics 2014-07-14 Miklós Vécsei , Mathias Dietzel , Steffen Hardt

We model cyclic voltammetry experiments on supported lipid films where a non-trivial dependence of the capacitance on the applied voltage is observed. Previously, based on a mean-field treatment of the Flory-Huggins type, under the…

Soft Condensed Matter · Physics 2010-07-28 Andrey V. Brukhno , Anna Akinshina , Zachary Coldrick , Andrew Nelson , Stefan Auer

The dynamics of a thin elastic sheet lubricated by a narrow layer of liquid is relevant to various situations and length scales. In the continuity of our previous work on viscous wakes, we study theoretically the effects of an external…

Fluid Dynamics · Physics 2017-10-11 Maxence Arutkin , René Ledesma-Alonso , Thomas Salez , Elie Raphaël