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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

Surfactants that are deposited at aqueous liquid films have the ability to generate surface tension gradients at the air-water interface, and thereby induce Marangoni flow. Combined with the production and depletion of surfactants at…

Fluid Dynamics · Physics 2024-07-17 Julio Careaga , Peter A. Korevaar , Vanja Nikolić , Laura Scarabosio

Surfactant-laden thin liquid films overlaid on solid substrates are encountered in a variety of industrial and biological settings. As these films reach submicron thickness, they tend to become unstable owing to the influence of long-range…

Fluid Dynamics · Physics 2024-01-05 Atul S Vivek , Ranabir Dey , Harish N Dixit

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

Droplet impact on surfactant-laden thin liquid films is investigated experimentally with emphasis on vortex ring dynamics. Bottom- and side-view imaging reveal that increasing surfactant concentration progressively stabilize vortex rings,…

Fluid Dynamics · Physics 2026-02-17 Hatim Ennayar , Hyoungsoo Kim , Jeanette Hussong

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…

The stability of a thin liquid film bounded by two free surfaces is examined in the presence of insoluble surface active agents. The surface active agents not only cause gradients in surface tension, but could also render surface viscosity…

In this paper, the instability of layered two-phase flows caused by the presence of a soluble surfactant (or a surface active solute) is studied. The fluids have different viscosities, but are density matched to focus on Marangoni effects.…

Fluid Dynamics · Physics 2016-03-29 Jason R. Picardo , Radhakrishna T. G. , S. Pushpavanam

A thin film on a horizontal solid substrate and coated with a soluble surfactant is considered. The governing degenerate parabolic equations for the film height and the surfactant concentrations on the surface and in the bulk are derived…

Analysis of PDEs · Mathematics 2010-02-10 Joachim Escher , Matthieu Hillairet , Philippe Laurençot , Christoph Walker

The behavior of thin liquid films is known to be strongly affected by the presence of surfactants at the interfaces. The detailed mechanism by which the latter enhance film stability is still a matter of debate, in particular concerning the…

Soft Condensed Matter · Physics 2019-07-24 Lorène Champougny , Benoit Scheid , Frédéric Restagno , Jan Vermant , Emmanuelle Rio

Superhydrophobic surfaces (SHSs) have the potential to achieve large drag reduction for internal and external flow applications. However, experiments have shown inconsistent results, with many studies reporting significantly reduced…

Soft Condensed Matter · Physics 2017-08-09 François J. Peaudecerf , Julien R. Landel , Raymond E. Goldstein , Paolo Luzzatto-Fegiz

We consider the motion of a two-layer thin film that consists of two immiscible viscous fluids and is endowed with an anti-surfactant solute. The presence of such solute particles induces variations of the surface tension and interfacial…

Analysis of PDEs · Mathematics 2026-05-21 Rahul Barthwal , Christian Rohde

To assess how the presence of surfactant in lung airways alters the flow of mucus that leads to plug formation and airway closure, we investigate the effect of insoluble surfactant on the instability of a viscoplastic liquid coating the…

We study the effect of insoluble surfactants on the impact of surfactant-free droplets on surfactant-laden thin liquid films via a fully three-dimensional direct numerical simulations approach that employs a hybrid…

We present a comprehensive framework for gravity-driven, surfactant-laden thin films flowing over slippery substrates, elucidating how wall slip modifies the coupled hydrodynamics and interfacial transport. A long-wave model is formulated…

Fluid Dynamics · Physics 2026-05-19 Sanghasri Mukhopadhyay , Séverine Millet , Bastien Di Pierro , Asim Mukhopadhyay

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 paper we consider a layer of incompressible viscous fluid lying above a flat periodic surface in a uniform gravitational field. The upper boundary of the fluid is free and evolves in time. We assume that a mass of surfactants…

Analysis of PDEs · Mathematics 2016-06-10 Chanwoo Kim , Ian Tice

We study the effect of surfactants on the dynamics of a drop-interface coalescence using full three-dimensional direct numerical simulations. We employ a hybrid interface-tracking/level-set method, which takes into account Marangoni…

Fluid Dynamics · Physics 2021-09-08 C. R. Constante-Amores , A. Batchvarov , L. Kahouadji , S. Shin , J. Chergui , D. Juric , O. K. Matar

Spreading of liquid thin film driven by surfactant due to the Marangoni effect is described using a coupled system of second-order partial differential equations. Lie group of transformation are used to obtain the symmetries of the given…

Computational Physics · Physics 2020-09-04 Devanshu Shekhar , Satyananda Panda

Flow of a thin viscous film down a flat inclined plane becomes unstable to long wave interfacial fluctuations when the Reynolds number based on the mean film thickness becomes larger than a critical value (this value decreases as the angle…

Fluid Dynamics · Physics 2016-01-20 Alice B. Thompson , Dmitri Tseluiko , Demetrios T. Papageorgiou
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