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The presence of surfactants alters the dynamics of viscous drops immersed in an ambient viscous fluid. This is specifically true at small scales, such as in applications of droplet based microfluidics, where the interface dynamics become of…

Numerical Analysis · Mathematics 2018-03-14 Chiara Sorgentone , Anna-Karin Tornberg

The diffuse-interface model for two-phase flows with soluble surfactants has garnered considerable attention due to its ability to circumvent the need for Robin boundary condition in the bulk surfactant transport equation. However, the…

Fluid Dynamics · Physics 2025-04-29 Haohao Hao , Xiangwei Li , Luyun Xu , Tian Liu , Huanshu Tan

We report on experiments that consist in deforming a collection of monodisperse droplets produced by a microfluidic chip through a flow-focusing device. We show that a proper numerical modelling of the flow is necessary to access the stress…

Soft Condensed Matter · Physics 2018-05-23 Corentin Trégouët , Thomas Salez , Cécile Monteux , Mathilde Reyssat

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

The surfactant-driven spreading of droplets is an essential process in many applications ranging from coating flow technology to enhanced oil recovery. Despite the significant advancement in describing spreading processes in…

Fluid Dynamics · Physics 2019-09-04 Panagiotis E. Theodorakis , Edward R. Smith , Erich A. Müller

We present three-dimensional numerical simulations, employing the well-established lattice Boltzmann method, and investigate similarities and differences between surfactants and nanoparticles as additives at a fluid-fluid interface. We…

Soft Condensed Matter · Physics 2012-07-26 Stefan Frijters , Florian Günther , Jens Harting

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…

Two-phase flow of two Newtonian incompressible viscous fluids with a soluble surfactant and different densities of the fluids can be modeled within the diffuse interface approach. We consider a Navier-Stokes/Cahn-Hilliard type system…

Analysis of PDEs · Mathematics 2017-10-10 Helmut Abels , Harald Garcke , Josef Weber

Two-dimensional Stokes flow with injection and suction is investigated through a second-order, perturbative mode-coupling approach. We examine the time-dependent disturbance of an initially circular interface separating two viscous fluids,…

Fluid Dynamics · Physics 2020-10-08 Gabriel Dias Carvalho , Rodolfo Brandão , José A. Miranda

In the present study, we investigate the cross-stream migration of a deformable droplet suspended in a non-isothermal Poiseuille flow in the presence of bulk-insoluble surfactants. Owing to the non-linearity present in the system of…

Fluid Dynamics · Physics 2018-10-17 Sayan Das , Suman Chakraborty

In the presence of surfactants, the interfacial tension (IFT) of microscopic droplets differs significantly from IFT of macroscopic drops for the same surfactant solutions. As a result, IFT between two immiscible liquids can strongly depend…

Soft Condensed Matter · Physics 2007-05-23 J. Tothova , M. Richterova , V. Lisy

We study the mobility of extended objects (rods) on a spherical liquid-liquid interface to show how this quantity is modified in a striking manner by both the curvature and the topology of the interface. We present theoretical calculations…

Soft Condensed Matter · Physics 2009-11-13 Mark L. Henle , R. McGorty , A. D. Dinsmore , Alex J. Levine

We study the deformation of a surfactant-covered droplet under shear flow using a phase-field model that explicitly accounts for both the surfactant concentration and its polarization, representing the average molecular orientation. We…

Soft Condensed Matter · Physics 2026-03-31 Alexandra J. Hardy , Abdallah Daddi-Moussa-Ider , Elsen Tjhung

Instabilities of fluid-fluid interfaces are ubiquitous in passive soft matter. Adding activity to the interface or either fluid can dramatically change the stability of the interface. Using experiment and theory, we investigate the…

Soft Condensed Matter · Physics 2026-02-04 Bennett C. Sessa , Federico Cao , Robert A. Pelcovits , Thomas R. Powers , Guillaume Duclos

Viscous streaming refers to the rectified, steady flows that emerge when a liquid oscillates around an immersed microfeature, typically a solid body or a bubble. The ability of such features to locally concentrate stresses produces strong…

To understand the behavior of composite fluid particles such as nucleated cells and double-emulsions in flow, we study a finite-size particle encapsulated in a deforming droplet under shear flow as a model system. In addition to its…

Fluid Dynamics · Physics 2019-06-06 Lailai Zhu , François Gallaire

We present an extension of the multiparticle collision dynamics method for flows with complex interfaces, including supramolecular near-contact interactions mimicking the effect of surfactants. The new method is demonstrated for the case of…

Soft Condensed Matter · Physics 2020-04-22 Andrea Montessori , Marco Lauricella , Adriano Tiribocchi , Fabio Bonaccorso , Sauro Succi

The encapsulation of active particles, such as bacteria or active colloids, inside a droplet gives rise to nontrivial shape dynamics and droplet motility. To understand this behavior, we derive an asymptotic solution for the fluid flow…

Soft Condensed Matter · Physics 2025-03-19 Sho Kawakami , Petia M. Vlahovska

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

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