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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…

流体动力学 · 物理学 2022-10-27 T. Bickel , F. Detcheverry

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…

流体动力学 · 物理学 2021-11-24 Richard Mcnair , Oliver E. Jensen , Julien R. Landel

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…

软凝聚态物质 · 物理学 2015-05-14 David W. Fallest , Adele M. Lichtenberger , Christopher J. Fox , Karen E. Daniels

A multispecies diffuse interface model is formulated in a fluctuating hydrodynamics framework for the purpose of simulating surfactant interfaces at the nanoscale. The model generalizes previous work to ternary mixtures, employing a…

流体动力学 · 物理学 2025-08-26 John B. Bell , Andrew Nonaka , Alejandro L. Garcia

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…

流体动力学 · 物理学 2018-02-06 S. Mandre

We develop a computational model to simulate the immediate post-impact spreading behaviour of surfactant-laden drops that impact a flat and solid surface. The model is built on the InterFoam solver (OpenFOAM software), which uses the…

We derive a general integrodifferential equation for the transient behaviour of small-amplitude capillary waves on the planar surface of a viscous fluid in the presence of the Marangoni effect. The equation is solved for an insoluble…

流体动力学 · 物理学 2017-12-06 Li Shen , Fabian Denner , Neal Morgan , Berend van Wachem , Daniele Dini

Surfactant distribution heterogeneities at a fluid/fluid interface trigger the Marangoni effect, i.e. a bulk flow due to a surface tension gradient. The influence of surfactant solubility in the bulk on these flows remains incompletely…

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…

Photoresponsive surfactants provide a unique microfluidic driving mechanism. Since their molecular shapes change under illumination and thereby affect surface tension of fluid interfaces, Marangoni flow along the interface occurs. To…

软凝聚态物质 · 物理学 2018-11-08 Josua Grawitter , Holger Stark

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…

偏微分方程分析 · 数学 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…

流体动力学 · 物理学 2013-06-21 Ellen R. Swanson , Stephen L. Strickland , Michael Shearer , Karen E. Daniels

In this paper we study the well-posedness and long-time dynamics of a diffuse-interface model for the mixture of two viscous incompressible Newtonian fluids with thermo-induced Marangoni effects. The governing system consists of modified…

偏微分方程分析 · 数学 2013-02-26 Hao Wu , Xiang Xu

Surface-active molecules supplied from a particle fixed at the water surface create a spatial gradient of the molecule concentration, resulting in Marangoni convection. Convective flow transports the molecules far from the particle,…

斑图形成与孤子 · 物理学 2018-04-05 Hiroyuki Kitahata , Natsuhiko Yoshinaga

We investigate the influence of insoluble surfactants on the spatio-temporal evolution of breaking waves, focusing on both regular and spilling regimes. Three-dimensional direct numerical simulations are conducted using an…

流体动力学 · 物理学 2026-05-22 B. Wang , J. Chergui , S. Shin , D. Juric , C. R Constante-Amores

In this paper we propose equations of motion for the dynamics of liquid films of surfactant suspensions that consist of a general gradient dynamics framework based on an underlying energy functional. This extends the gradient dynamics…

流体动力学 · 物理学 2016-12-28 Uwe Thiele , Andrew J. Archer , Len M. Pismen

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…

流体动力学 · 物理学 2021-02-24 C. R. Constante-Amores , L. Kahouadji , A. Batchvarov , S. Shin , J. Chergui , D. Juric , O. K. Matar

Mass transfer of gaseous components from rising bubbles to the ambient liquid depends not only on the chemical potential difference of the transfer component but also on the interfacial free energy and composition. The latter is strongly…

流体动力学 · 物理学 2026-01-28 Dieter Bothe , Akio Tomiyama

We study the effect of insoluble surfactants on the spatio-temporal evolution of turbulent jets. We use three-dimensional numerical simulations and employ an interface-tracking/level-set method that accounts for surfactant-induced Marangoni…

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…

流体动力学 · 物理学 2024-05-01 Richard Mcnair , Oliver E. Jensen , Julien R. Landel
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