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We study the motion of a two-dimensional droplet on an inclined surface, under the action of gravity, using a diffuse interface model which allows for arbitrary equilibrium contact angles. The kinematics of motion is analysed by decomposing…

Soft Condensed Matter · Physics 2015-03-19 Sumesh P. Thampi , Ronojoy Adhikari , Rama Govindarajan

Capillary phenomena are involved in many industrial processes, especially those dealing with composite manufacturing. However, their modelling is still challenging. Therefore, a finite element setting is proposed to better investigate this…

Fluid Dynamics · Physics 2017-11-28 Julien Bruchon , Yujie Liu , Nicolas Moulin

The spreading of a cap-shaped spherical droplet of non-Newtonian power-law liquids on a completely wettable spherical substrate is theoretically studied. Both convex spherical substrates and concave spherical cavities with smooth or rough…

Soft Condensed Matter · Physics 2018-12-18 Masao Iwamatsu

We present systematic wetting experiments and numerical simulations of gravity driven liquid drops sliding on a plane substrate decorated with a linear chemical step. Surprisingly, the optimal direction to observe crossing is not the one…

A finite element model was developed to compute the fluid flow inside a sessile evaporating droplet on hydrophilic substrate in ambient conditions. The evaporation is assumed as quasi-steady and the flow is considered as axisymmetric with a…

Fluid Dynamics · Physics 2020-09-08 Manish Kumar , Rajneesh Bhardwaj

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

We study the dynamics of a droplet moving on an inclined rough surface in the absence of inertial and viscous stress effects. In this case, the dynamics of the droplet is a purely geometric motion in terms of the wetting domain and the…

Numerical Analysis · Mathematics 2022-11-08 Yuan Gao , Jian-Guo Liu

The equilibrium properties of polymer droplets on a soft deformable surface are investigated by molecular dynamics simulations of a bead-spring model. The surface consists of a polymer brush with irreversibly end-tethered linear homopolymer…

Soft Condensed Matter · Physics 2015-05-28 Fabien Léonforte , Marcus Müller

We demonstrate spontaneous bidirectional motion of droplets on liquid infused surfaces in the presence of a topographical gradient, in which the droplets can move either toward the denser or the sparser solid fraction area. Our analytical…

Pinning of liquid droplets on solid substrates is ubiquitous and plays an essential role in many applications, especially in various areas, such as microfluidics and biology. Although pinning can often reduce the efficiency of various…

Fluid Dynamics · Physics 2023-11-28 Panagiotis E. Theodorakis , Alidad Amirfazli , Bin Hu , Zhizhao Che

The spontaneous migration of droplets on conical fibers is studied experimentally by depositing silicone oil droplets onto conical glass fibers. Their motion is recorded using optical microscopy and analysed to extract the relevant…

Soft Condensed Matter · Physics 2020-09-01 Clementine Fournier , Carmen Lee , Rafael Schulman , Elie Raphael , Kari Dalnoki-Veress

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

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

We present a thermodynamically consistent model for chemically driven running drops on a solid substrate with reversible substrate adsorption of a wettability-changing chemical species. We consider drops confined to a vertical gap, thereby…

Soft Condensed Matter · Physics 2026-04-09 Justus Niehoff , Florian Voss , Uwe Thiele

In an effort to study the stability of contact lines in fluids, we consider the dynamics of a drop of incompressible viscous Stokes fluid evolving above a one-dimensional flat surface under the influence of gravity. This is a free boundary…

Analysis of PDEs · Mathematics 2019-07-15 Ian Tice , Lei Wu

We studied the step dynamics during crystal sublimation and growth in the limit of fast surface diffusion and slow kinetics of atom attachment-detachment at the steps. For this limit we formulate a model free of the quasi-static…

Chemical Physics · Physics 2009-11-13 Bogdan Ranguelov , Stoyan Stoyanov

Particles confined in droplets are called compound particles. They are encountered in various biological and soft matter systems. Hydrodynamics can play a decisive role in determining the configuration and stability of these multiphase…

Soft Condensed Matter · Physics 2019-08-23 Sravana Chaithanya , Sumesh P Thampi

The surface tension of partially wetting droplets deforms soft substrates. These deformations are usually localized to a narrow region near the contact line, forming a so-called `elastocapillary ridge.' When a droplet slides along a…

Soft Condensed Matter · Physics 2024-10-30 Nan Xue , Lawrence A. Wilen , Robert W. Style , Eric R. Dufresne

The classical wetting models, such as the Wenzel and Cassie-Baxter have been extensively used to quantify the wettability of laser-textured surfaces. However, these models do not provide any description of the corresponding droplet…

Fluid Dynamics · Physics 2022-04-05 Ilemona S. Omeje , Tatiana E. Itina

We investigate the dynamics of nanoscale droplets in the vicinity of chemical steps which separate parts of a substrate with different wettabilities. Due to long-ranged dispersion forces, nanodroplets positioned on one side of the step…

Soft Condensed Matter · Physics 2009-09-29 A. Moosavi , M. Rauscher , S. Dietrich