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We theoretically derive the amplitude equations for a self-propelled droplet driven by Marangoni flow. As advective flow driven by surface tension gradient is enhanced, the stationary state becomes unstable and the droplet starts to move.…

Soft Condensed Matter · Physics 2015-06-05 Natsuhiko Yoshinaga , Ken H. Nagai , Yutaka Sumino , Hiroyuki Kitahata

The Marangoni effect refers to fluid flow induced by a gradient in surface tension at a fluid-fluid interface. We determine the full three-dimensional Marangoni flow generated by a non-uniform surface tension profile at the interface of a…

Soft Condensed Matter · Physics 2016-01-12 Maximilian Schmitt , Holger Stark

Experimental observations indicate that chemically active droplets suspended in a surfactant-laden fluid can self-propel spontaneously. The onset of this motion is attributed to a symmetry-breaking Marangoni instability resulting from the…

Fluid Dynamics · Physics 2018-12-17 Matvey Morozov , Sebastien Michelin

We numerically study the behavior of self-propelled liquid droplets whose motion is triggered by a Marangoni-like flow. This latter is generated by variations of surfactant concentration which affect the droplet surface tension promoting…

Soft Condensed Matter · Physics 2017-12-20 F. Fadda , G. Gonnella , A. Lamura , A. Tiribocchi

We study theoretically internal flows in a small oblate droplet suspended on the circular frame. Marangoni convection arises due to a vertical temperature gradient across the drop and is driven by the surface tension variations at the free…

Fluid Dynamics · Physics 2023-07-26 M. A. Shishkin , K. S. Kolegov , S. A. Pikin , B. I. Ostrovskii , E. S. Pikina

We study self-propelled dynamics of a droplet due to a Marangoni effect and chemical reactions in a binary fluid with a dilute third component of chemical product which affects the interfacial energy of a droplet. The equation for the…

Pattern Formation and Solitons · Physics 2015-06-04 Shunsuke Yabunaka , Takao Ohta , Natsuhiko Yoshinaga

When a drop of a volatile liquid is deposited on a uniformly heated wettable, thermally conducting substrate, one expects to see it spread into a thin film and evaporate. Contrary to this intuition, due to thermal Marangoni contraction the…

Fluid Dynamics · Physics 2023-06-21 Pallav Kant , Mathieu Souzy , Nayoung Kim , Devaraj van der Meer , Detlef Lohse

We report the generation of directed self-propelled motion of a droplet of aniline oil with a velocity on the order of centimeters per second on an aqueous phase. It is found that, depending on the initial conditions, the droplet shows…

Fluid Dynamics · Physics 2015-06-11 Yong-Jun Chen , Yuko Nagamine , Kenichi Yoshikawa

We propose a novel framework for the spontaneous motion of a droplet coupled with internal dynamic patterns generated in a reaction-diffusion system. The spatio-temporal order of the chemical reaction gives rise to inhomogeneous surface…

Soft Condensed Matter · Physics 2015-05-20 Hiroyuki Kitahata , Natsuhiko Yoshinaga , Ken H. Nagai , Yutaka Sumino

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 observed the zig-zag motion of small Leidenfrost water droplets (radii less than 0.6 mm) on a hot, flat substrate. To understand this motion, we conducted an experiment using a glass capillary to fix a droplet at its edge and control the…

Fluid Dynamics · Physics 2023-06-16 Ken Yamamoto

We report a series of experiments carried out with a dichloromethane drop deposited on the surface of an aqueous solution containing a surfactant, cetyltrimethylammonium bromide. After an induction stage during which the drop stays…

Fluid Dynamics · Physics 2022-03-30 Dolachai Boniface , Julien Sebilleau , Jacques Magnaudet , Véronique Pimienta

A spherical droplet is given an initial rotation in the streamwise direction and is impulsively accelerated by a uniform free stream. Numerical results for the deformation and dynamics of the droplet are obtained by utilising a finite…

Fluid Dynamics · Physics 2010-10-21 Eric K. W. Poon , Shaoping Quan , Jing Lou , Andrew S. H. Ooi

We use numerical simulations and linear stability analysis to study active nematic droplets, in the regime where the passive phase is isotropic. We show that activity leads to the emergence of nematic order and of spontaneous rotation in…

Soft Condensed Matter · Physics 2024-04-23 Mehrana R. Nejad , Julia M. Yeomans

The time evolution equation of motion and shape are derived for a self-propelled droplet driven by a chemical reaction. The coupling between the chemical reaction and motion makes an inhomogeneous concentration distribution as well as a…

Soft Condensed Matter · Physics 2014-01-24 Natsuhiko Yoshinaga

Experiments indicate that microdroplets undergoing micellar solubilization in the bulk of surfactant solution may excite Marangoni flows and self-propel spontaneously. Surprisingly, self-propulsion emerges even when the critical micelle…

Fluid Dynamics · Physics 2020-06-09 Matvey Morozov

A liquid droplet, immersed into a Newtonian fluid, can be propelled solely by internal flow. In a simple model, this flow is generated by a collection of point forces, which represent externally actuated devices or model autonomous…

Fluid Dynamics · Physics 2021-03-10 Reiner Kree , Leon Rueckert , Annette Zippelius

The shape of a weightless spinning liquid droplet is governed by the balance between the surface tension and centrifugal forces. The axisymmetric shape for slow rotation becomes unstable to a non-axisymmetric distortion above a critical…

Fluid Dynamics · Physics 2008-12-13 R. J. A. Hill , L. Eaves

A fluid droplet in general deforms, if subject to active driving, such as a finite slip velocity or active tractions on its interface. We show that these deformations and their dynamics can be computed analytically in a perturbation theory…

Soft Condensed Matter · Physics 2023-04-19 Reiner Kree , Annette Zippelius

We propose a simple active hydrodynamic model for the self-propulsion of a liquid droplet suspended in micellar solutions. The self-propulsion of the droplet occurs by spontaneous breaking of isotropic symmetry and is studied using both…

Fluid Dynamics · Physics 2023-07-12 Swarnak Ray , Arun Roy
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