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Related papers: Capillary-driven flow induced by a stepped perturb…

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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

We report on the numerical implementation of thin film equations that describe the capillary-driven evolution of viscous films, in two-dimensional configurations. After recalling the general forms and features of these equations, we focus…

The surface of a thin liquid film with nonconstant curvature is unstable, as the Laplace pressure drives a flow mediated by viscosity. We present the results of experiments on one of the simplest variable curvature surfaces: a stepped…

Soft Condensed Matter · Physics 2015-06-11 Joshua D. McGraw , Thomas Salez , Oliver Bäumchen , Elie Raphaël , Kari Dalnoki-Veress

We report on the capillary-driven levelling of a topographical perturbation at the surface of a free-standing liquid nanofilm. The width of a stepped surface profile is found to evolve as the square root of time. The hydrodynamic model is…

A homogeneous thin polymer film with a stepped height profile levels due to the presence of Laplace pressure gradients. Here we report on studies of polymeric samples with precisely controlled, spatially inhomogeneous molecular weight…

Soft Condensed Matter · Physics 2014-01-07 Joshua D. McGraw , Thomas Salez , Oliver Bäumchen , Elie Raphaël , Kari Dalnoki-Veress

A mesoscopic or coarse-grained approach is presented to study thermo-capillary induced flows. An order parameter representation of a two-phase binary fluid is used in which the interfacial region separating the phases naturally occupies a…

patt-sol · Physics 2009-10-30 David Jasnow , Jorge Vinals

Surface tension-driven flow techniques have recently emerged as an efficient means of shedding light into the rheology of thin polymer films. Motivated by experimental and theoretical approaches in films bearing a varying surface…

Soft Condensed Matter · Physics 2017-04-26 Ioannis Tanis , Hendrik Meyer , Thomas Salez , Elie Raphaël , Anthony C. Maggs , Jörg Baschnagel

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

We report on the thinning of supported liquid films driven by thermocapillarity. The liquids are oil films, of initial thicknesses of a few tens of microns. A local and moderate heating of the glass substrate on which they are spread on…

Soft Condensed Matter · Physics 2023-01-10 M. Maza-Cuello , C. Frétigny , L. Talini

A systematic theoretical study of thermoelectric effect and temperature-gradient-driven electrokinetic flow of electrolyte solutions in charged nanocapillaries is presented. The study is based on a semianalytical model developed by…

Fluid Dynamics · Physics 2023-09-14 Wenyao Zhang , Qiuwang Wang , Min Zeng , Cunlu Zhao

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

We experimentally investigate the dynamics of capillary-driven flows at the nanoscale, using an original platform that combines nanoscale pores and microfluidic features. Our results show a coherent picture across multiple experiments…

Soft Condensed Matter · Physics 2015-10-05 Olivier Vincent , Alexandre Szenicer , Abraham D. Stroock

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

Superspreading wetting is traditionally attributed to surfactant-driven mechanisms. However, recent observations of superspreading in surfactant-free nanofluids defy standard theoretical explanations. This study considers a data-driven…

Fluid Dynamics · Physics 2026-01-06 Kai Fukami , Eita Shoji

We compare the capillary levelling of a random surface perturbation on a thin polystyrene film with a theoretical study on the two-dimensional capillary-driven thin film equation. Using atomic force microscopy, we follow the time evolution…

Soft Condensed Matter · Physics 2014-10-16 Michael Benzaquen , Paul Fowler , Laetitia Jubin , Thomas Salez , Kari Dalnoki-Veress , Elie Raphaël

A systematic theoretical study of temperature-gradient-induced electrokinetic flow and thermoelectric potential of electrolyte solutions in a micro-/nanocapillary is presented. The study is based on a semi-analytical model developed by…

Fluid Dynamics · Physics 2019-02-14 Wenyao Zhang , Qiuwang Wang , Min Zeng , Cunlu Zhao

The surface of a thin liquid film with nonconstant curvature flattens as a result of capillary forces. While this leveling is driven by local curvature gradients, the global boundary conditions greatly influence the dynamics. Here, we study…

The effects of thermal fluctuations on nanoscale flows are captured by a numerical scheme that is underpinned by fluctuating hydrodynamics. A stochastic lubrication equation (SLE) is solved on non-uniform adaptive grids to study a series of…

Fluid Dynamics · Physics 2022-02-16 Chengxi Zhao , Jingbang Liu , Duncan A. Lockerby , James E. Sprittles

We introduce a diffuse interface model describing the evolution of a mixture of two different viscous incompressible fluids of equal density. The main novelty of the present contribution consists in the fact that the effects of temperature…

Analysis of PDEs · Mathematics 2014-01-15 Michela Eleuteri , Elisabetta Rocca , Giulio Schimperna

In this paper, we develop a phase-field model for binary incompressible (quasi-incompressible) fluid with thermocapillary effects, which allows for the different properties (densities, viscosities and heat conductivities) of each component…

Fluid Dynamics · Physics 2015-06-18 Zhenlin Guo , Ping Lin
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