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Making liquid droplets move spontaneously on solid surfaces is a key challenge in lab-on-chip and heat exchanger technologies. The best-known mechanism, a wettability gradient, does not generally move droplets rapidly enough and cannot…

Soft Condensed Matter · Physics 2015-03-13 Cunjing Lv , Chao Chen , Yin-Chuan Chuang , Fan-Gang Tseng , Yajun Yin , Francois Grey , Quanshui Zheng

We consider the dynamics of thin two-dimensional viscous droplets on chemically heterogeneous surfaces moving under the combined effects of slip, mass transfer and capillarity. The resulting long-wave evolution equation for the droplet…

Fluid Dynamics · Physics 2021-12-20 Danny Groves , Nikos Savva

Here, we study the coalescence of two droplets that are moving in the same direction on a soft surface; the motion of the droplets is caused by a gradient in the surface stiffness. As reference, stationary coalescence of the same droplets…

Soft Condensed Matter · Physics 2026-05-19 Divyansh Tripathi , Vimal Kishore , Panagiotis E. Theodorakis , Swarn Lata Singh

We study fully three-dimensional droplets that slide down an incline by employing a thin-film equation that accounts for capillarity, wettability, and a lateral driving force in small-gradient (or long-wave) approximation. In particular, we…

Fluid Dynamics · Physics 2016-12-15 Sebastian Engelnkemper , Markus Wilczek , Svetlana V. Gurevich , Uwe Thiele

A liquid drop moves on a solid surface if it is subjected to a gradient of wettability or temperature. However, the pinning defects on the surface manifested in terms of a wetting hysteresis, or first-order nonlinear friction, limit the…

Soft Condensed Matter · Physics 2015-08-07 Manoj K. Chaudhury , Aditi Chakrabarti , Susan Daniel

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 demonstrate \textit{bendotaxis}, a novel mechanism for droplet self-transport at small scales. A combination of bending and capillarity in a thin channel causes a pressure gradient that, in turn, results in the spontaneous movement of a…

Soft Condensed Matter · Physics 2019-03-12 Alexander T. Bradley , Finn Box , Ian J. Hewitt , Dominic Vella

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

Guided motion of emulsions is studied via combined experimental and theoretical investigations. The focus of the work is on basic issues related to driving forces generated via a step-wise (abrupt) change in wetting properties of the…

Soft Condensed Matter · Physics 2015-05-14 Fathollah Varnik , Pagra Truman , Bin Wu , Petra Uhlmann , Dierk Raabe , Manfred Stamm

Motion of chemically driven droplets is analyzed by applying a solvability condition of perturbed hydrodynamic equations affected by the adsorbate concentration. Conditions for traveling bifurcation analogous to a similar transition in…

Fluid Dynamics · Physics 2009-11-11 L. M. Pismen

The motion of topological defects is an important feature of the dynamics of all liquid crystals, and is especially conspicuous in active liquid crystals. Understanding defect motion is a challenging theoretical problem, because the…

Soft Condensed Matter · Physics 2019-01-24 Xingzhou Tang , Jonathan V. Selinger

Liquid infused surfaces with partially wetting lubricants have recently been exploited for numerous intriguing applications, such as for droplet manipulation, droplet collection and spontaneous motion. When partially wetting lubricants are…

Soft Condensed Matter · Physics 2020-07-27 Muhammad Subkhi Sadullah , Jack R. Panter , Halim Kusumaatmaja

How to make small liquid droplets move spontaneously and directionally on solid surfaces is a challenge in lab-on-chip technologies, DNA analysis, and heat exchangers. The best-known mechanism, a wettability gradient, does not move droplets…

Fluid Dynamics · Physics 2015-03-13 Cunjing Lv , Chao Chen , Yin-Chuan Chuang , Fan-Gang Tseng , Yajun Yin , Francois Grey , Quanshui Zheng

Motivated by strategies for targeted microfluidic transport of droplets, we investigate how sessile droplets can be steered toward a preferred direction using travelling waves in substrate wettability or deformations of the substrate. To…

Fluid Dynamics · Physics 2024-08-14 Josua Grawitter , Holger Stark

Behavior of the mixture of particles and dimers moving with different jump rates at reconstructed surfaces is described. Collective diffusion coefficient is calculated by the variational approach. Anisotropy of the collective particle…

Statistical Mechanics · Physics 2014-05-12 Marcin Mińkowski , Magdalena A. Załuska Kotur

In this study, the thermocapillary actuation behavior of an odd viscous droplet on a uniformly heated surface is numerically investigated using a phase-field-based lattice Boltzmann method. The numerical results reveal that unlike a…

Fluid Dynamics · Physics 2025-10-17 Shan Jiang , He Yan , Chenxia Xie , Lei Wang

Using Molecular Dynamics simulations of a coarse-grained polymer liquid we investigate the transport of droplets on asymmetrically structured (saw-tooth shaped), vibrating substrates. Due to a continuous supply of power by substrate…

Soft Condensed Matter · Physics 2013-12-18 Nikita Tretyakov , Marcus Müller

Recently, there has been much interest in using lubricated flat and nano-/micro-structured surfaces to achieve extreme liquid-repellency: any foreign droplet immiscible with the underlying lubricant layer was shown to slide off at a small…

Fluid Dynamics · Physics 2017-07-26 Dan Daniel , Jaakko V. I. Timonen , Ruoping Li , Seneca J. Velling , Joanna Aizenberg

We study theoretically the self-propulsion dynamics of a small droplet on general curved surfaces by a variational approach. A new reduced model is derived based on careful computations for the capillary energy and the viscous dissipation…

Fluid Dynamics · Physics 2021-08-25 Yujuan Chen , Xianmin Xu

The impact of droplets on an inclined falling liquid film is studied experimentally using high-speed imaging. The falling film is created on a flat substrate with controllable thicknesses and flow rates. Droplets with different sizes and…

Fluid Dynamics · Physics 2015-09-09 Zhizhao Che , Amandine Deygas , Omar K. Matar