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The breakup of a fluid jet into droplets has long fascinated natural scientists, with early research dating back to the 19th century. Infinitesimal perturbations to a jet grow because of surface tension, which eventually leads to breakup of…

Fluid Dynamics · Physics 2022-09-07 Takuji Ishikawa , Thanh-Nghi Dang , Eric Lauga

Earlier works found out spontaneous directional motion of liquid droplets on hydrophilic conical surfaces, however, not hydrophobic case. Here we show that droplets on any surface may take place spontaneous directional motion without…

Chemical Physics · Physics 2011-01-21 Cunjing Lv , Chao Chen , Yajun Yin , Fan-gang Tseng , Quanshui Zheng

We derive macroscopic dynamics for self-propelled particles in a fluid. The starting point is a coupled Vicsek-Stokes system. The Vicsek model describes self-propelled agents interacting through alignment. It provides a phenomenological…

Fluid Dynamics · Physics 2017-06-20 Pierre Degond , Sara Merino-Aceituno , Fabien Vergnet , Hui Yu

Active drops emit/absorb chemical solutes, whose concentration gradients cause interfacial flows driving their own transport and the propulsion of the droplet. Such non-linear coupling enables active drops to achieve directed…

Fluid Dynamics · Physics 2022-12-01 Nikhil Desai , Sebastien Michelin

We introduce and investigate the wellposedness of a model describing the self-propelled motion of a small abstract swimmer in the 3-D incompressible fluid governed by the nonstationary Stokes equation, typically associated with the low…

Analysis of PDEs · Mathematics 2012-05-08 A. Y. Khapalov

We study the phenomenon of the "walking droplet", by means of numerical fluid dynamics simulations using the Smoothed Particle Hydrodynamics numerical method. This phenomenon occurs when a millimetric drop is released on the surface of an…

Fluid Dynamics · Physics 2017-08-17 Diego Molteni , Enrico Vitanza , Onofrio Rosario Battaglia

Walking droplets are millimetric fluid drops that propel themselves across a vibrated liquid bath through interaction with their self-generated waves. They constitute classical active wave-particle entities and exhibit a range of…

Chaotic Dynamics · Physics 2026-02-06 Titir Mukherjee , Rahil N Valani , Soumitro Banerjee

In recent decades novel solid substrates have been designed which change their wettability in response to light or an electrostatic field. Here, we investigate a droplet on substrates with oscillating uniform wettability by varying minimium…

Fluid Dynamics · Physics 2021-10-28 Josua Grawitter , Holger Stark

The manipulation and control of microparticles through non-intrusive methods is pivotal in biomedical applications such as cell sorting and cell focusing. Although several experimental and numerical studies have been dedicated to single…

Fluid Dynamics · Physics 2023-12-20 Giancarlo Esposito , Gaetano D'Avino , Massimiliano Maria Villone

Here we characterize the motility of athermal swimming droplets within the framework of active rotational diffusion. Just like active colloids, their trajectories can be modeled with a constant velocity $V$ and a slow angular diffusion, but…

Soft Condensed Matter · Physics 2020-05-20 Adrien Izzet , Pepijn Moerman , Jan Groenewold , Jérôme Bibette , Jasna Brujić

Translational and rotational swimming at small Reynolds number of a planar assembly of identical spheres immersed in an incompressible viscous fluid is studied on the basis of a set of equations of motion for the individual spheres. The…

Fluid Dynamics · Physics 2017-10-25 B. U. Felderhof

We study theoretically vesicle locomotion due to haptotaxis. Haptotaxis is referred to motion induced by an adhesion gradient on a substrate. The problem is solved within a local approximation where a Rayleigh-type dissipation is adopted.…

Soft Condensed Matter · Physics 2016-08-31 Isabelle Cantat , Chaouqi Misbah , Yukio Saito

A droplet bouncing on the surface of a vibrating liquid bath can move horizontally guided by the wave it produces on impacting the bath. The wave itself is modified by the environment, and thus the interactions of the moving droplet with…

Fluid Dynamics · Physics 2019-07-19 Rahil N. Valani , Anja C. Slim

Kinetic frictional forces resisting droplet motion often appear to be separate to surface wettability and adhesive forces. Here we show that such friction arises from a simple combination of the contact angle hysteresis and adhesive force.…

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

A flexible membrane deforming its shape in time can self-propel in a viscous fluid. Alternatively, if the membrane is anchored, its deformation will lead to fluid transport. Past work in this area focused on situations where the deformation…

Soft Condensed Matter · Physics 2013-02-12 Arthur A. Evans , Eric Lauga

Most classical work on the hydrodynamics of low-Reynolds-number swimming addresses deterministic locomotion in quiescent environments. Thermal fluctuations in fluids are known to lead to a Brownian loss of the swimming direction. As most…

Fluid Dynamics · Physics 2014-06-18 Mario Sandoval , Navaneeth K. M. , Ganesh Subramanian , Eric Lauga

Deformed droplets are ubiquitous in various industrial applications, such as inkjet printing, lab-on-a-chip devices, and spray cooling, and can fundamentally affect the involved applications both favorably and unfavorably. Here, we employ…

This review treats asymmetric colloidal particles moving through their host fluid under the action of some form of propulsion. The propulsion can come from an external body force or from external shear flow. It may also come from…

Fluid Dynamics · Physics 2020-09-14 Thomas A. Witten , Haim Diamant

In the last years self-motile droplets attracted the attention of scientists from different fields ranging from applied biology to theoretical physics, because of their promising technological applications and important biological…

Soft Condensed Matter · Physics 2023-03-31 L. N. Carenza , G. Gonnella , G. Negro