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We develop a model which predicts the contact angle hysteresis introduced by smooth micropatterned defects. The defects are modeled by a smooth function and the contact angle hysteresis is explained using a tangent line solution. When the…

Fluid Dynamics · Physics 2011-11-15 Damien Debuisson , Renaud Dufour , Vincent Senez , Steve Arscott

A dynamic wetting problem is studied for a moving thin fiber inserted in fluid and with a chemically inhomogeneous surface. A reduced model is derived for contact angle hysteresis by using the Onsager principle as an approximation tool. The…

Fluid Dynamics · Physics 2020-12-02 Xianmin Xu , Xiaoping Wang

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…

Results from Monte Carlo simulations of wall-attached droplets in the three-dimensional Ising lattice gas model and in a symmetric binary Lennard-Jones fluid, confined by antisymmetric walls, are analyzed, with the aim to estimate the…

Soft Condensed Matter · Physics 2018-07-04 Subir K. Das , Sergei A. Egorov , Peter Virnau , David Winter , Kurt Binder

In an effort to study the stability of contact lines in fluids, we consider the dynamics of an incompressible viscous Stokes fluid evolving in a two-dimensional open-top vessel under the influence of gravity. This is a free boundary…

Analysis of PDEs · Mathematics 2017-10-25 Yan Guo , Ian Tice

Oscillating shape motion of a freely falling water droplet has long fascinated and inspired scientists. We propose dynamic non-linear equations for closed, two dimensional surfaces in gravity and apply it to analyze shape dynamics of freely…

Fluid Dynamics · Physics 2018-02-22 David V. Svintradze

We introduce a numerical method for investigating interfacial flows coupled with frictional solid particles. Our method combines the lattice Boltzmann method (LBM) to model the dynamics of a two-component fluid and the discrete element…

Fluid Dynamics · Physics 2025-05-16 Abhinav Naga , Xitong Zhang , Junyu Yang , Halim Kusumaatmaja

A liquid drop spreading over a thin heterogeneous precursor film (such as an inhaled droplet on the mucus-lined wall of a lung airway) will experience perturbations in shape and location as its advancing contact line encounters regions of…

Fluid Dynamics · Physics 2018-07-27 Feng Xu , Sam Coveney , Oliver E. Jensen

Explicit analytical expressions for the drag and diffusion coefficients of a spherical particle attached to the interface between two immiscible fluids are constructed for the case of a small viscosity ratio between the fluid phases. The…

Soft Condensed Matter · Physics 2016-04-20 Aaron Dörr , Steffen Hardt

We consider a liquid drop sitting on a rough solid surface at equilibrium, a volume constrained minimizer of the total interfacial energy. The large-scale shape of such a drop strongly depends on the micro-structure of the solid surface.…

Analysis of PDEs · Mathematics 2016-12-22 William M. Feldman , Inwon C. Kim

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

A key question in the interaction of droplets with lubricated and liquid-infused surfaces is what determines the apparent contact angle of droplets. Previous work has determined this using measured values of the geometry of the `skirt' --…

Soft Condensed Matter · Physics 2022-06-03 Zhaohe Dai , Dominic Vella

When a droplet is generated, the ligament connecting the drop to the nozzle thins down and eventually pinches off. Adding solid particles to the liquid phase leads to a more complex dynamic, notably by increasing the shear viscosity.…

Soft Condensed Matter · Physics 2021-05-24 Virgile Thiévenaz , Sreeram Rajesh , Alban Sauret

A simple model for solid friction is analyzed. It is based on tangential springs representing interlocked asperities of the surfaces in contact. Each spring is given a maximal strain according to a probability distribution. At their maximal…

Materials Science · Physics 2007-05-23 Z. Farkas , S. R. Dahmen , D. E. Wolf

The deposition of particles on a substrate by drying a colloidal suspension droplet is at the core of applications ranging from traditional printing on paper to printable electronics or photovoltaic devices. The self-pinning induced by the…

Fluid Dynamics · Physics 2019-08-21 Qingguang Xie , Jens Harting

We compare numerical and experimental results exploring the behaviour of liquid drops moving across a surface patterned with hydrophobic and hydrophilic stripes. A lattice Boltzmann algorithm is used to solve the hydrodynamic equations of…

Soft Condensed Matter · Physics 2008-05-27 H. Kusumaatmaja , J. Leopoldes , A. Dupuis , J. M. Yeomans

Pinning and depinning of drops on an inclined heterogeneous substrate is studied as a function of the inclination and heterogeneity amplitude. Two types of heterogeneity are considered: a hydrophobic defect that blocks the droplet in front,…

Fluid Dynamics · Physics 2013-03-25 Uwe Thiele , Edgar Knobloch

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

We analyze static point-to-set correlations in glass-forming liquids. The generic idea is to freeze the position of a set of particles in an equilibrium configuration and to perform sampling in the presence of this additional constraint.…

Statistical Mechanics · Physics 2012-01-05 Ludovic Berthier , Walter Kob

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
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