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Related papers: Exact solutions for viscous Marangoni spreading

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We study the features of a radial Stokes flow due to a submerged jet directed toward a liquid-air interface. The presence of surface-active impurities confers to the interface an in-plane elasticity that resists the incident flow. Both…

Soft Condensed Matter · Physics 2019-12-20 T. Bickel , J. -C. Loudet , G. Koleski , B. Pouligny

Reactive transport in permeable porous media is relevant for a variety of applications, but poses a significant challenge due to the range of length and time scales. Multiscale methods that aim to link microstructure with the macroscopic…

Numerical Analysis · Mathematics 2023-12-27 Mina Karimi , Kaushik Bhattacharya

Phase field models for two-phase flow with a surfactant soluble in possibly both fluids are derived from balance equations and an energy inequality so that thermodynamic consistency is guaranteed. Via a formal asymptotic analysis, they are…

Fluid Dynamics · Physics 2013-03-12 Harald Garcke , Kei Fong Lam , Björn Stinner

Surface coatings and patterning technologies are essential for various physicochemical applications. In this Letter, we describe key parameters to achieve uniform particle coatings from binary solutions: First, multiple sequential Marangoni…

Fluid Dynamics · Physics 2016-08-08 Hyoungsoo Kim , François Boulogne , Eujin Um , Ian Jacobi , Ernie Button , Howard A. Stone

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

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

Thermocapillary convection is particularly effective for the control of thin liquid film topography or for the actuation of microparticles at the liquid-air interface. Experiments with water are challenging, however, as its interface is…

Soft Condensed Matter · Physics 2024-11-25 Thomas Bickel

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

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…

Fluid Dynamics · Physics 2025-08-26 John B. Bell , Andrew Nonaka , Alejandro L. Garcia

We investigate the diffusiophoresis of a non-polarizable droplet laden with soluble ionic surfactant, for which the surface charge arises from adsorption of surfactant at the fluid-fluid interface. Unlike previous studies that assume either…

Fluid Dynamics · Physics 2026-02-09 Subrata Majhi , Somnath Bhattacharyya

With the advent of new media art, artists have harnessed fluid dynamics to create captivating visual narratives. A striking technique known as dendritic painting employs mixtures of ink and isopropanol atop paint, yielding intricate…

Fluid Dynamics · Physics 2023-12-12 San To Chan , Eliot Fried

Complex fluids such as emulsions, colloidal gels, polymer or surfactant solutions are all characterized by the existence of a "microstructure" which may couple to an external flow on timescales that are easily probed in experiments. Such a…

Soft Condensed Matter · Physics 2015-02-11 Christophe Perge , Marc-Antoine Fardin , Sebastien Manneville

Understanding the dynamics of liquid films that make up bubbles is of practical and fundamental importance. Practically, this understanding is crucial for tuning bubble stability, while fundamentally, thin films are an excellent platform to…

Fluid Dynamics · Physics 2020-04-22 Vineeth Chandran Suja , Alex Hadidi , Aadithya Kannan , Gerald G Fuller

This paper proposes a diffuse-interface model for simulating gas-liquid-solid multiphase flows involving solid-liquid phase change, solute transport, and the Marangoni effect. In this model, a phase-field method is employed to capture the…

Fluid Dynamics · Physics 2025-11-13 Jiangxu Huang , Zhenhua Chai , Xi Liu , Changsheng Huang

We study the spreading of viscous drops on a solid substrate, taking into account the effects of thermal fluctuations in the fluid momentum. A nonlinear stochastic lubrication equation is derived, and studied using numerical simulations and…

Statistical Mechanics · Physics 2015-06-25 Benny Davidovitch , Esteban Moro , Howard A. Stone

Spontaneous rotation of a droplet induced by the Marangoni flow is analyzed in a two-dimensional system. The droplet with the small particle which supplies a surfactant at the interface is considered. We calculated flow field around the…

Certain trisiloxane surfactants have the remarkable property of being able to superspread: Small volumes of water rapidly wet large areas of hydrophobic surfaces. The molecular properties of the surfactants which govern this technologically…

We adapt and extend a formulation for soluble surfactant transport in multiphase flows recently presented by Muradoglu & Tryggvason (JCP 274 (2014) 737-757) to the context of the Level Contour Reconstruction Method (Shin et al. IJNMF 60…

Computational Engineering, Finance, and Science · Computer Science 2018-03-14 Seungwon Shin , Jalel Chergui , Damir Juric , Lyes Kahouadji , Omar K. Matar , Richard V. Craster

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…

Using techniques of the theory of semigroups of linear operators we study the question of approximating solutions to equations governing diffusion in thin layers separated by a semi-permeable membrane. We show that as thickness of the…

Analysis of PDEs · Mathematics 2019-08-08 Adam Bobrowski
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