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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

In recent years, slippery surfaces have attracted significant interest due to their excellent liquid-repellent properties and their potential in diverse commercial applications. Such surfaces are prepared by coating functionalized solid…

Soft Condensed Matter · Physics 2026-05-25 Shivam Gupta , Bidisha Bhatt , Zhaohe Dai , Krishnacharya Khare

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

Droplets on rough surfaces can exhibit various stationary states that are crucial for designing hydrophobic materials and enabling directional liquid transport. Here we introduce a phase-field saddle dynamics method to construct the…

Soft Condensed Matter · Physics 2024-10-08 Yuze Zhang , Xuelong Gu , Yushun Wang , Xianmin Xu , Lei Zhang

Most passive droplet transport strategies rely on spatial variations of material properties to drive droplet motion, leading to gradient-based mechanisms with intrinsic length scales that limit the droplet velocity or the transport…

Fluid Dynamics · Physics 2025-12-01 Sthavishtha R. Bhopalam , Jesus Bueno , Hector Gomez

Droplet motion on surfaces influences phenomena as diverse as microfluidic liquid handling, printing technology and micro-organism migration. Typically, droplet motion is achieved by inducing energy gradients on a substrate or flow on the…

Soft Condensed Matter · Physics 2020-10-02 Robert Malinowski , Ivan P. Parkin , Giorgio Volpe

Droplet motion over a surface with wettability gradient has been simulated using molecular dynamics (MD) simulation to highlight the underlying physics. GROMACS and Visual Molecular Dynamics (VMD) were used for simulation and intermittent…

Fluid Dynamics · Physics 2015-04-13 Monojit Chakraborty , Anamika Chowdhury , Richa Bhusan , Sunando DasGupta

Applications such as digital microfluidics and bio-diagnostics rely on droplet locomotion. A prominent example of such motion is durotaxis, a phenomenon that requires a stiffness gradient along a surface for the transport of liquids, cells,…

Fluid Dynamics · Physics 2026-04-21 Panagiotis E. Theodorakis , Andrey Milchev

The complicated dynamics of the contact line of a moving droplet on a solid substrate often hamper the efficient modeling of microfluidic systems. In particular, the selection of the effective boundary conditions, specifying the contact…

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

Liquid drops on soft solids generate strong deformations below the contact line, resulting from a balance of capillary and elastic forces. The movement of these drops may cause strong, potentially singular dissipation in the soft solid.…

Fluid Dynamics · Physics 2016-03-25 S. Karpitschka , S. Das , M. van Gorcum , H. Perrin , B. Andreotti , J. H. Snoeijer

Controlling the shape and position of moving and pinned droplets on a solid surface is an important feature often found in microfluidic applications. However, automating them, e.g., for high-throughput applications, does rarely involve…

Fluid Dynamics · Physics 2020-07-09 Henning Bonart , Christian Kahle , Jens-Uwe Repke

In the recent years, there has been a growing interest in droplet-based (digital) microfluidics for which, reliable means of droplet manipulation are required. In this study we demonstrate thermal actuation of droplets on liquid platforms,…

Fluid Dynamics · Physics 2010-10-19 Ehsan Yakhshi-Tafti , Hyoung J. Cho , Ranganathan Kumar

Flow transport in confined spaces is ubiquitous in technological processes, ranging from separation and purification of pharmaceutical ingredients by microporous membranes and drug delivery in biomedical treatment to chemical and biomass…

Soft Condensed Matter · Physics 2021-01-01 Xuehua Zhang , Jae Bem You , Gilmar F. Arends , Jiasheng Qian , Yibo Chen , Detlef Lohse , John M. Shaw

We report an experimental investigation of the spontaneous motion of liquid droplets on soft gels with a crosslinking gradient. By systematically adjusting the spatial difference in crosslinking density, we observed that millimeter-sized…

Soft Condensed Matter · Physics 2025-01-29 Weiwei Zhao , Wenjie Qian , Chang Xu , Qin Xu

Droplets coalescing on flat surfaces tend to end up with the smaller droplet migrating into the larger one. We report a counter-intuitive droplet coalescence pattern on a superhydrophilic cylindrical wire, where the larger droplet is pulled…

A range of technologies require the directed motion of nanoscale droplets on solid substrates. A way of realizing this effect is durotaxis, whereby a stiffness gradient of a substrate can induce directional motion without requiring an…

Soft Condensed Matter · Physics 2018-05-23 P. E. Theodorakis , S. A. Egorov , A. Milchev

We consider steady gravity-driven flow of a thin layer of viscous fluid over a curved substrate. The substrate has topographical variations (`bumps') on a large scale compared to the layer thickness. Using lubrication theory, we find the…

Chaotic Dynamics · Physics 2007-05-23 Jean-Luc Thiffeault , Khalid Kamhawi

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

Patterning solid surfaces with varying wettability is important to manage droplets in microfluidics, heat transfer and printing. Solid surface roughness poses fundamental limitations including contact-line pinning and solid friction. Here,…