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The stability of an evaporating thin liquid film on a solid substrate is investigated within lubrication theory. The heat flux due to evaporation induces thermal gradients; the generated Marangoni stresses are accounted for. Assuming the…

Soft Condensed Matter · Physics 2009-11-10 Eric Sultan , Arezki Boudaoud , Martine Ben Amar

The presence of surfactants has a pronounced effect on the surface tension and, hence, on the stress balance at the phase separating interface of two-phase flows. The transport of momentum induced by the local variations of the capillary…

Analysis of PDEs · Mathematics 2012-10-31 Dieter Bothe , Matthias Köhne , Jan Prüss

We consider thin fluid films placed on thermally conductive substrates and exposed to time-dependent spatially uniform heat source. The evolution of the films is considered within the long-wave framework in the regime such that both…

Soft Condensed Matter · Physics 2016-06-16 Nanyi Dong , Lou Kondic

The study of competitive and cooperative adsorption of functionalized molecules such as polymers, rheology modifiers and surfactant molecules on colloidal particles immersed in a solvent is undertaken using coarse grained, dissipative…

Soft Condensed Matter · Physics 2014-06-13 A. Gama Goicochea

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 model the advective Marangoni spreading of insoluble surfactant at the free surface of a viscous fluid that is confined within a two-dimensional rectangular cavity. Interfacial deflections are assumed small, with contact lines pinned to…

Fluid Dynamics · Physics 2021-11-24 Richard Mcnair , Oliver E. Jensen , Julien R. Landel

The motion of a gas-liquid interface along a solid wall is influenced by the capillary forces resulting from the interface's shape and its interaction with the solid, where it forms a dynamic contact angle. Capillary models play a…

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

Exploring and controlling the physical factors that determine the topography of thin liquid dielectric films are of interest in manifold fields of research in physics, applied mathematics, and engineering and have been a key aspect of many…

Optics · Physics 2019-08-27 Shimon Rubin , Brandon Hong , Yeshaiahu Fainman

The spreading dynamics of surfactant molecules on a thin fluid layer is of both fundamental and practical interest. A mathematical model formulated by Gaver and Grotberg 1990 describing the spreading of a single layer of insoluble…

Fluid Dynamics · Physics 2013-06-21 Ellen R. Swanson , Stephen L. Strickland , Michael Shearer , Karen E. Daniels

Probing the fluid dynamics of thin films is an excellent tool to study the solid/liquid boundary condition. There is no need for external stimulation or pumping of the liquid due to the fact that the dewetting process, an internal…

Soft Condensed Matter · Physics 2009-09-11 O. Baeumchen , K. Jacobs

Using molecular dynamics simulations, we study supercritical fluids near the gas-liquid critical point under heat flow in two dimensions. We calculate the steady-state temperature and density profiles. The resultant thermal conductivity…

Statistical Mechanics · Physics 2009-11-10 Toshiyuki Hamanaka , Ryoichi Yamamoto , Akira Onuki

A liquid in Cassie-Baxter state above a structured superhydrophobic surface is ideally suited for surface driven transport due to its large free surface fraction in close contact to a solid. We investigate thermal Marangoni flow over a…

Fluid Dynamics · Physics 2010-09-08 Tobias Baier , Clarissa Steffes , Steffen Hardt

Although ubiquitous in nature and industrial processes, transport processes at the interface during evaporation and condensation are still poorly understood. Experiments have shown temperature discontinuities at the interface during…

Soft Condensed Matter · Physics 2023-08-01 Gang Chen

The interface between a pure liquid and its vapor is usually close to saturation temperature, hence strongly hindering any thermocapillary flow. In contrast, when the gas phase contains an inert gas such as air, surface-tension-driven…

Fluid Dynamics · Physics 2012-01-31 Fabien Chauvet , Sam Dehaeck , Pierre Colinet

The rate of melting of a solid and the rate of deformation of the resulting melt due to capillary forces are comparable in additive manufacturing applications. This dynamic structural change of a melting solid is extremely challenging to…

Computational Physics · Physics 2018-04-18 Michael Blank , Prapanch Nair , Thorsten Pöschel

In recent years, slippery surfaces have attracted significant interest due to their excellent liquid-repellent properties and their potential in diverse commercial applications. Such surfaces are prepared by coating functionalized solid…

Soft Condensed Matter · Physics 2026-05-25 Shivam Gupta , Bidisha Bhatt , Zhaohe Dai , Krishnacharya Khare

In this paper we review simulation and experimental studies of thermal capillary wave fluctuations as an ideal means for probing the underlying disjoining pressure and surface tensions, and more generally, fine details of the Interfacial…

Soft Condensed Matter · Physics 2014-06-26 Luis G. MacDowell , Jorge Benet , Nebil A. Katcho , Jose G. Palanco

Surfactants reside at the interface of two-phase flows and significantly influence the flow dynamics. Numerical simulations are essential for a comprehensive understanding of such surfactant-laden flows and require a method that can…

Fluid Dynamics · Physics 2026-05-20 Shu Yamashita , Shintaro Matsushita , Tetsuya Suekane

We study the time evolution of a thin liquid film coating the outer surface of a sphere in the presence of gravity, surface tension and thermal gradients. We derive the fourth-order nonlinear partial differential equation that models the…

Soft Condensed Matter · Physics 2017-08-02 Di Kang , Ali Nadim , Marina Chugunova