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We investigate the dynamics of an insoluble surfactant on the surface of a thin viscous fluid spreading inward to fill a surfactant-free region. During the initial stages of surfactant self-healing, Marangoni forces drive an axisymmetric…

When surface-active molecules are released at a liquid interface, their spreading dynamics is controlled by Marangoni flows. Though such Marangoni spreading was investigated in different limits, exact solutions remain very few. Here we…

Fluid Dynamics · Physics 2022-10-27 T. Bickel , F. Detcheverry

Guided by computation, we theoretically calculate the steady flow driven by Marangoni stress due to surfactant introduced on a fluid interface at a constant rate. Two separate extreme cases, where the surfactant dynamics is dominated by the…

Fluid Dynamics · Physics 2018-02-06 S. Mandre

We consider the spreading dynamics of some insoluble surface-active species along an aqueous interface. The model includes both diffusion, Marangoni convection and first-order reaction kinetics. An exact solution of the nonlinear transport…

Soft Condensed Matter · Physics 2021-06-08 Thomas Bickel

The Marangoni flow induced by an insoluble surfactant on a fluid-fluid interface is a fundamental problem investigated extensively due to its implications in colloid science, biology, the environment, and industrial applications. Here, we…

Fluid Dynamics · Physics 2024-11-20 Fernando Temprano-Coleto , Howard A. Stone

A linear stability analysis of a two-layer plane Couette flow of two immiscible fluid layers with different densities, viscosities and thicknesses, bounded by two infinite parallel plates moving at a constant relative velocity to each…

Adaptation and Self-Organizing Systems · Physics 2019-02-20 Alexander F. Frenkel , David Halpern , Adam J. Schweiger

Successive drops of coloured ink mixed with surfactant are deposited onto a thin film of water to create marbling patterns in the Japanese art technique of Suminagashi. To understand the physics behind this and other applications where…

Fluid Dynamics · Physics 2024-05-01 Richard Mcnair , Oliver E. Jensen , Julien R. Landel

In this paper we study the dynamics of a layer of incompressible viscous fluid bounded below by a rigid boundary and above by a free boundary, in the presence of a uniform gravitational field. We assume that a mass of surfactant is present…

Analysis of PDEs · Mathematics 2017-02-09 Ian Tice , Lei Wu

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

The spreading of surfactants on thin films is an industrially and medically important phenomenon, but the dynamics are highly nonlinear and visualization of the surfactant dynamics has been a long-standing experimental challenge. We perform…

Soft Condensed Matter · Physics 2015-05-14 David W. Fallest , Adele M. Lichtenberger , Christopher J. Fox , Karen E. Daniels

Insoluble surfactants adsorbed at liquid-liquid or gas-liquid interfaces alter interfacial tension, leading to variations in the normal stress jump and generating tangential Marangoni stresses that can dramatically affect the flow dynamics.…

Fluid Dynamics · Physics 2025-07-15 Zhong-Han Xue , Jacques Magnaudet , Jie Zhang

We study the effect of surfactant on the dynamics of a bubble bursting through an interface. We perform fully three-dimensional direct numerical simulations using a hybrid interface-tracking/level-set method accounting for…

Fluid Dynamics · Physics 2021-02-24 C. R. Constante-Amores , L. Kahouadji , A. Batchvarov , S. Shin , J. Chergui , D. Juric , O. K. Matar

Surfactant transport is central to a diverse range of natural phenomena, and for many practical applications in physics and engineering. Surprisingly, this process remains relatively poorly understood at the molecular scale. This study…

Soft Condensed Matter · Physics 2025-04-16 Muhammad Rizwanur Rahman , James P. Ewen , Li Shen , D. M. Heyes , Daniele Dini , E. R. Smith

In the present study we analytically investigate the deformation and bulk rheology of a dilute emulsion of surfactant-laden droplets suspended in a linear flow. We use an asymptotic approach to predict the effect of surfactant distribution…

Fluid Dynamics · Physics 2017-11-22 Shubhadeep Mandal , Sayan Das , Suman Chakraborty

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 investigate the dynamic fracture of a close-packed monolayer of particles, or particle raft, floating at a liquid-gas interface induced by the localised addition of surfactant. Unusually for a two-dimensional solid, our experiments show…

Soft Condensed Matter · Physics 2007-05-23 Dominic Vella , Ho-Young Kim , Pascale Aussillous , L. Mahadevan

In this work, we study the effect of insoluble surfactants on the three-dimensional rim-driven retraction dynamics of thin water sheets in air. We employ an interface-tracking/level-set method to ensure the full coupling between the…

Thin liquid films are ubiquitous across many natural and engineering systems, including films which are laden with surface active molecules, i.e. surfactants. The presence of surfactants may have a destabilising effect on the film owing to…

Statistical Mechanics · Physics 2026-05-25 Toby Kay , Serafim Kalliadasis

We study spreading of a droplet, with insoluble surfactant covering its capillary surface, on a textured substrate. In this process, the surfactant-dependent surface tension dominates the behaviors of the whole dynamics, particularly the…

Fluid Dynamics · Physics 2022-11-08 Yuan Gao , Jian-Guo Liu

We study the formation of propagating large-scale density waves of mixed polar-nematic symmetry in a colony of self-propelled agents that are bound to move along the planar surface of a thin viscous film. The agents act as an insoluble…

Fluid Dynamics · Physics 2025-09-08 Andrey Pototsky , Uwe Thiele
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