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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…

Superhydrophobic surfaces (SHSs) have the potential to reduce drag at solid boundaries. However, multiple independent studies have recently shown that small amounts of surfactant, naturally present in the environment, can induce Marangoni…

We study the stability of the bubble rising in the presence of a soluble surfactant numerically and experimentally. For the surfactant concentration considered, the Marangoni stress almost immobilizes the interface. However, the non-zero…

We study the time evolution of a thin liquid film coating the outer surface of a sphere in the presence of gravity, surface tension and thermal gradients. We derive the fourth-order nonlinear partial differential equation that models the…

Soft Condensed Matter · Physics 2017-08-02 Di Kang , Ali Nadim , Marina Chugunova

Parametric oscillations of an interface separating two fluid phases create nonlinear surface waves, called Faraday waves, which organise into simple patterns, like squares and hexagons, as well as complex structures, such as double…

The motion of a viscous droplet in unbounded Poiseuille flow under the combined influence of bulk-insoluble surfactant and linearly varying temperature field aligned in the direction of imposed flow is studied analytically. Neglecting fluid…

Fluid Dynamics · Physics 2018-02-14 Sayan Das , Shubhadeep Mandal , S. K. Som , Suman Chakraborty

Using a regularized delta function to distribute surfactant interfacial concentration can simplify the computation of the surface gradient operator $\nabla_s$, enabling the phase-field model to effectively simulate Marangoni flows involving…

Fluid Dynamics · Physics 2024-10-01 Haohao Hao , Xiangwei Li , Tian Liu , Huanshu Tan

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…

Fluid Dynamics · Physics 2017-12-06 Li Shen , Fabian Denner , Neal Morgan , Berend van Wachem , Daniele Dini

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

Hydrodynamic coarsening of bicontinuous domains is a central process in liquid-liquid phase separation, yet how soluble surfactants regulate this process remains poorly understood. Using a validated two-order-parameter phase-field model…

Fluid Dynamics · Physics 2026-04-14 Tian Liu , Haohao Hao , Jiaxi Liu , Yongjie Zhou , Feiyu An , Huanshu Tan

We investigate a novel Marangoni-induced instability that arises exclusively in diffuse fluid interfaces, absent in classical sharp-interface models. Using a validated phase-field Navier-Stokes-Allen-Cahn framework, we linearize the…

Fluid Dynamics · Physics 2026-01-14 Xiangwei Li , Dongdong Wan , Haohao Hao , Christian Diddens , Mengqi Zhang , Huanshu Tan

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…

Materials adsorbed to the surface of a fluid -- for instance, crude oil, biogenic slicks, or industrial/medical surfactants -- will move in response to surface waves. Due to the difficulty of non-invasive measurement of the spatial…

Fluid Dynamics · Physics 2023-07-19 Stephen L Strickland , Michael Shearer , Karen E Daniels

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…

Fluid Dynamics · Physics 2016-12-28 Uwe Thiele , Andrew J. Archer , Len M. Pismen

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

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

Surfactants are often used to stabilise two-dimensional (2D) materials in environmentally friendly solvents such as water. Aqueous-surfactant solutions prevent agglomeration of nanosheets through steric and electrostatic repulsion,…

Materials Science · Physics 2021-11-05 Diego Tomohisa Pérez-Álvarez , Philip Davies , Jason Stafford

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,…

Pattern Formation and Solitons · Physics 2018-04-05 Hiroyuki Kitahata , Natsuhiko Yoshinaga

We experimentally study steady Marangoni-driven surfactant transport on the interface of a deep water layer. Using hydrodynamic measurements, and without using any knowledge of the surfactant physico-chemical properties, we show that sodium…

Fluid Dynamics · Physics 2018-02-06 S. Mandre , V. S. Akella , D. K. Singh , R. S. Singh , M. M. Bandi

We investigate the thermocapillary flow in a thin liquid film which is subjected to local heating, in the presence of insoluble surfactants. While surfactant molecules are first advected from warmer to cooler regions, the resulting…

Fluid Dynamics · Physics 2025-03-04 Darsh Kumar , Pradipta Kumar Panigrahi , Thomas Bickel