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Patterning the wettability of solid surfaces is a successful strategy to control the dropwise condensation of vapor onto partially wetting solid surfaces. We followed the condensation of water vapor onto electrowetting-functionalized…

Fluid Dynamics · Physics 2020-07-28 Harmen Hoek , Ranabir Dey , Frieder Mugele

Droplet impact on oscillating substrates is important for both natural and industrial processes. Recognizing the importance of the dynamics that arise from the interplay between droplet transport and substrate motion, in this work, we…

Fluid Dynamics · Physics 2024-06-05 Aditya Potnis , Abhishek Saha

Liquid droplets sliding along solid surfaces are a frequently observed phenomenon in nature, e.g., raindrops on a leaf, and in everyday situations, e.g., drops of water in a drinking glass. To model this situation, we use a phase field…

Computational Physics · Physics 2019-10-23 Henning Bonart , Christian Kahle , Jens-Uwe Repke

We consider a liquid drop placed on a smooth homogeneous solid substrate as it spreads from rest to its eventual equilibrium state. The problem is studied numerically in the framework of a model where the contact angle formed by the drop's…

Fluid Dynamics · Physics 2022-08-18 Carlos A. Galeano-Rios

In this paper, we investigate the dynamics of an incompressible viscous Navier-Stokes fluid evolving above a one-dimensional flat surface. The fluid is subject to a uniform gravitational field and capillary forces acting along the free…

Analysis of PDEs · Mathematics 2026-02-19 Xiaoding Yang

The encapsulation of active particles, such as bacteria or active colloids, inside a droplet gives rise to nontrivial shape dynamics and droplet motility. To understand this behavior, we derive an asymptotic solution for the fluid flow…

Soft Condensed Matter · Physics 2025-03-19 Sho Kawakami , Petia M. Vlahovska

We develop a continuous adjoint formulation and implementation for controlling the deformation of clean, neutrally buoyant droplets in Stokes flow through farfield velocity boundary conditions. The focus is on dynamics where surface tension…

Computational Physics · Physics 2024-02-23 Alexandru Fikl , Daniel J. Bodony

Intuitively, slow droplets stick to a surface and faster droplets splash or bounce. However, recent work suggests that on non-wetting surfaces, whether microdroplets stick or bounce depends only on their size and fluid properties, but not…

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

The spreading of a cap-shaped spherical droplet on a completely wettable spherical substrate is studied. The non-equilibrium thermodynamic formulation is used to derive the thermodynamic driving force of spreading including the line-tension…

Soft Condensed Matter · Physics 2017-05-24 Masao Iwamatsu

We show how dynamical equations for liquid films and drops on uneven surfaces, including contact line dynamics and evaporation/condensation effects, may be formulated as a variational dynamics, generated via Onsager's variational principle.…

Soft Condensed Matter · Physics 2026-05-15 Gyula I Tóth , David N Sibley , Agnes J Bokányi-Tóth , Dmitri Tseluiko , Andrew J Archer

We show that energy dissipation partition between a liquid and a solid controls the shape and stability of droplets sliding on viscoelastic gels. When both phases dissipate energy equally, droplet dynamics is similar to that on rigid…

Soft Condensed Matter · Physics 2024-02-20 Mathieu Oléron , Laurent Limat , Julien Dervaux , Matthieu Roché

In this article, we study the spreading of droplets of density-matched granular suspensions on the surface of a solid. Bidispersity of the particle size distribution enriches the conclusions drawn from monodisperse experiments by…

Soft Condensed Matter · Physics 2023-01-25 Alice Pelosse , Élisabeth Guazzelli , Matthieu Roché

This paper represents a theoretical and an experimental study of the spreading dynamics of a liquid droplet, generated by a needle free deposition system called the liquid needle droplet deposition technique. This technique utilizes a…

The translation and shape deformations of a passive viscous Newtonian droplet immersed in an active nematic liquid crystal under circular confinement are analyzed using a linear stability analysis. We focus on the case of a sharply aligned…

Soft Condensed Matter · Physics 2025-07-29 Tanumoy Dhar , Michael J. Shelley , David Saintillan

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,…

Soft materials are ubiquitous in technological applications that require deformability, for instance, in flexible, water-repellent coatings. However, the wetting properties of pre-strained soft materials are only beginning to be explored.…

Soft Condensed Matter · Physics 2025-04-15 Youchuang Chao , Hansol Jeon , Stefan Karpitschka

This paper considers the interaction between two droplets placed on a substrate in immediate vicinity. We show here that when the two droplets are of different fluids and especially when one of the droplet is highly volatile, a wealth of…

Fluid Dynamics · Physics 2015-06-11 Mathieu Sellier , Volker Nock , Cécile Gaubert , Claude Verdier

A liquid drop impacting a dry solid surface with sufficient kinetic energy will splash, breaking apart into numerous secondary droplets. This phenomenon shows many similarities to forced wetting, including the entrainment of air at the…

Fluid Dynamics · Physics 2018-02-14 Andrzej Latka , Arnout M. P. Boelens , Sidney R. Nagel , Juan J. de Pablo

In this article, we analyse a stabilised equal-order finite element approximation for the Stokes equations on anisotropic meshes. In particular, we allow arbitrary anisotropies in a sub-domain, for example along the boundary of the domain,…

Numerical Analysis · Mathematics 2018-10-12 Stefan Frei
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