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The presence of surfactants has a pronounced effect on the surface tension and, hence, on the stress balance at the phase separating interface of two-phase flows. The transport of momentum induced by the local variations of the capillary…

Analysis of PDEs · Mathematics 2012-10-31 Dieter Bothe , Matthias Köhne , Jan Prüss

Thermocapillary migration of a planar non-deformable droplet in flow fields with two uniform temperature gradients at moderate and large Marangoni numbers is studied numerically by using the front-tracking method. It is observed that the…

Fluid Dynamics · Physics 2011-12-14 Zuo-Bing Wu , Wen-Rui Hu

Using numerical simulations, we investigate the effects of Marangoni stresses induced by surfactants on the effective slip length of liquid-infused surfaces (LIS) with transverse grooves. The surfactants are assumed soluble in the external…

Fluid Dynamics · Physics 2022-11-09 Johan Sundin , Shervin Bagheri

In the present paper the behavior of a single artificial microswimmer is addressed, namely an active droplet moving by Marangoni flow. The non-uniform surface tension distribution underlying the propulsion mechanism of the droplet, is…

Computational Physics · Physics 2017-09-13 Laura Stricker

The motion of a surfactant-laden viscous droplet in the presence of background non-isothermal Poiseuille flow is studied analytically and numerically. Specifically, the effect of interfacial Marangoni stress due to non-uniform distribution…

Fluid Dynamics · Physics 2017-02-01 Sayan Das , Shubhadeep Mandal , S K Som , Suman Chakraborty

Flows in low Prandtl number liquid pools are relevant for various technical applications, and have so far only been investigated for the case of pure fluids, i.e. with a constant, negative surface tension temperature coefficient…

Fluid Dynamics · Physics 2016-06-21 Anton Kidess , Saša Kenjereš , Chris R. Kleijn

The sedimentation of a surfactant-laden deformable viscous drop acted upon by an electric field is considered theoretically. The convection of surfactants in conjunction with the the combined effect electrohydrodynamic flow and…

Fluid Dynamics · Physics 2019-05-09 Antarip Poddar , Shubhadeep Mandal , Aditya Bandopadhyay , Suman Chakrabort

The spreading of surfactants on thin films is an industrially and medically important phenomenon, but the dynamics are highly nonlinear and visualization of the surfactant dynamics has been a long-standing experimental challenge. We perform…

Soft Condensed Matter · Physics 2015-05-14 David W. Fallest , Adele M. Lichtenberger , Christopher J. Fox , Karen E. Daniels

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…

In this paper, thermocapillary migration of a planar droplet at moderate and large Marangoni numbers is investigated analytically and numerically. By using the dimension-analysis method, the thermal diffusion time scale is determined as the…

Fluid Dynamics · Physics 2017-05-30 Zuo-Bing Wu

We investigate the influence of insoluble surfactants on the spatio-temporal evolution of breaking waves, focusing on both regular and spilling regimes. Three-dimensional direct numerical simulations are conducted using an…

Fluid Dynamics · Physics 2026-05-22 B. Wang , J. Chergui , S. Shin , D. Juric , C. R Constante-Amores

We study two-dimensional, stationary square and hexagonal patterns in the thermocapillary deformational thin-film model for the fluid height $h$\begin{equation*} \partial_t h+\nabla\cdot\left(h^3\left(\nabla\Delta h-g\nabla…

Analysis of PDEs · Mathematics 2025-06-25 Stefano Böhmer , Bastian Hilder , Jonas Jansen

The evaporation from a micropillar evaporator is a problem governed by various interfacial phenomena such as the capillarity-induced liquid flow, thin-film evaporation intensifying near the contact lines, and thermocapillarity-induced…

Fluid Dynamics · Physics 2022-03-24 Goksel Yuncu , Yigit Akkus , Zafer Dursunkaya

We present a comprehensive study of the dispersion of capillary waves with finite amplitude, based on direct numerical simulations. The presented results show an increase of viscous attenuation and, consequently, a smaller frequency of…

Fluid Dynamics · Physics 2017-01-27 Fabian Denner , Gounséti Paré , Stéphane Zaleski

Marangoni instabilities in binary mixtures are different from those in pure liquids. In contrast to a large amount of experimental work on Marangoni convection in pure liquids, such experiments in binary mixtures are not available in the…

Fluid Dynamics · Physics 2009-11-13 Jie Zhang , Robert P. Behringer , Alexander Oron

Evaporating droplets are known to show complex motion that has conventionally been explained by the Marangoni effect (flow induced by the gradient of surface tension). Here, we show that the droplet motion can be induced even in the absence…

Soft Condensed Matter · Physics 2017-07-28 Xingkun Man , Masao Doi

We model the advective Marangoni spreading of insoluble surfactant at the free surface of a viscous fluid that is confined within a two-dimensional rectangular cavity. Interfacial deflections are assumed small, with contact lines pinned to…

Fluid Dynamics · Physics 2021-11-24 Richard Mcnair , Oliver E. Jensen , Julien R. Landel

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

We present a theory for the self-propulsion of symmetric, half spherical Marangoni boats (soap or camphor boats) at low Reynolds numbers. Propulsion is generated by release (diffusive emission or dissolution) of water-soluble surfactant…

Fluid Dynamics · Physics 2021-04-29 Hendrik Ender , Jan Kierfeld

In the minutes immediately preceeding the rupture of a soap bubble, distinctive and repeatable patterns can be observed. These quasi-stable transient structures are associated with the instabilities of the complex Marangoni flows on the…

Fluid Dynamics · Physics 2019-05-20 Li Shen , Fabian Denner , Neal Morgan , Berend van Wachem , Daniele Dini