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An evaporating droplet is a dynamic system in which flow is spontaneously generated to minimize the surface energy, dragging particles to the borders and ultimately resulting in the so-called "coffee-stain effect". The situation becomes…

Fluid Dynamics · Physics 2015-11-24 Alvaro Marin , Robert Liepelt , Massimiliano Rossi , Christian J. Kähler

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…

Although medium chain length insoluble amphiphiles are well known to form gaseous and liquid expanded phases on an air/water interface, the situation for the soluble case is less clear. We perform molecular dynamics simulations of model…

Soft Condensed Matter · Physics 2007-05-23 M. S. Tomassone , A. Couzis , C. Maldarelli , J. R. Banavar , J. Koplik

We investigated the effect of surfactants on an interface between two kinds of liquid by molecular dynamics simulation. We adopted the simple bead-spring model with two atoms as the surfactants. We controlled the interfacial tension of the…

Statistical Mechanics · Physics 2024-10-14 Shunta Kikuchi , Hiroshi Watanabe

In this work, we propose and test the validity of a modified Phase Field Method (PFM), which was specifically developed for large scale simulations of turbulent flows with large and deformable surfactant-laden droplets. The time evolution…

Computational Physics · Physics 2018-11-14 Giovanni Soligo , Alessio Roccon , Alfredo Soldati

We investigate the influence of surfactants on stabilizing the formation of interfaces in non-local anisotropic two-phase fluid at equilibrium. The analysis focuses on singularly perturbed non-local van der Waals-Cahn-Hillard-type energies,…

Analysis of PDEs · Mathematics 2025-07-18 Marco Cicalese , Tim Heilmann

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

An existing phase-field model of two immiscible fluids with a single soluble surfactant present is discussed in detail. We analyze the well-posedness of the model and provide strong evidence that it is mathematically ill-posed for a large…

Numerical Analysis · Mathematics 2013-03-20 Stefan Engblom , Minh Do-Quang , Gustav Amberg , Anna-Karin Tornberg

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

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

We study the effect of insoluble surfactants on the wave dynamics of vertically-falling liquid films. We use three-dimensional numerical simulations and employ a hybrid interface-tracking/level-set method, taking into account Marangoni…

We investigate the nature of vapor bubble nucleation near a nanoscale-curved convex liquid-solid interface using two models; an equilibrium Gibbs model for homogenous formation, and a nonequilibrium dynamic van der Waals/diffuse interface…

Fluid Dynamics · Physics 2018-03-28 Jarrod Schiffbauer , Tengfei Luo

We investigate the modes of deformation of an initially spherical bubble immersed in a homogeneous and isotropic turbulent background flow. We perform direct numerical simulations of the two-phase incompressible Navier-Stokes equations,…

Fluid Dynamics · Physics 2021-07-07 Stéphane Perrard , Aliénor Rivière , Wouter Mostert , Luc Deike

Bubbles released from a needle show shape deformations that depend on the surfactant concentration of the surrounding liquid. We develop a model that predicts the surfactant concentration based on experimental early-stage observations of…

Fluid Dynamics · Physics 2026-04-27 Lim Chi Tung James , Ivo R. Peters , Swathi Krishna

Superhydrophobic surfaces (SHSs) can reduce the friction drag in turbulent flows. In the laminar regime, it has been shown that trace amounts of surfactant can negate this drag reduction, at times rendering these surfaces no better than…

Surfactant self-assembly at solid-liquid interfaces governs interfacial stability, transport, and reactivity across many technologies, yet resolving interfacial surfactant phases and their transition kinetics in situ remains challenging.…

Interfacial tension gradients drive flow along liquid-liquid interfaces in a process known as the Marangoni effect. Such gradients can be caused by surfactants, which has been extensively studied in the literature. Less is known of its…

Fluid Dynamics · Physics 2021-06-25 Petter Johansson , Guillaume Galliéro , Dominique Legendre

In this work, we propose a novel transport model for soluble surfactants in two-phase flows. In a two-phase flow, the soluble surfactants can adsorb/desorb from/into the bulk of any of the phases to the interface and can modify the…

Fluid Dynamics · Physics 2025-10-14 Suhas S. Jain

We propose a new unfitted finite element method for simulation of two-phase flows in presence of insoluble surfactant. The key features of the method are 1) discrete conservation of surfactant mass; 2) the possibility of having meshes that…

Numerical Analysis · Mathematics 2022-11-30 Thomas Frachon , Sara Zahedi

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