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A hydrophilic liquid, such as water, forms hydrogen bonds with a hydrophilic substrate. The strength and locality of the hydrogen bonding interactions prohibit slip of the liquid over the substrate. The question then arises how the contact…

Fluid Dynamics · Physics 2018-07-11 Petter Johansson , Berk Hess

The spreading of a cap-shaped spherical droplet of non-Newtonian power-law liquids on a flat and a spherical rough and textured substrate is theoretically studied in the capillary-controlled spreading regime. A droplet whose scale is much…

Soft Condensed Matter · Physics 2017-11-22 Masao Iwamatsu

We theoretically investigate the apparent contact angle of droplets on liquid infused surfaces as a function of the relative size of the wetting ridge and the deposited droplet. We provide an intuitive geometrical interpretation whereby the…

Soft Condensed Matter · Physics 2021-05-12 Ciro Semprebon , Muhammad Subkhi Sadullah , Glen McHale , Halim Kusumaatmaja

In part 1, we proposed a model of dynamics of wetting for slow movements near a contact line formed at the interface of two immiscible fluids and a solid when viscous dissipation remains bounded. The contact line is not a material line and…

Classical Physics · Physics 2008-01-15 Henri Gouin

Hypothesis: Surrounding fluids affect critically drop wetting dynamics in many applications involving viscous environments. Although macroscopic effects of outer fluid viscosity on contact line motion have been documented, the extent to…

Fluid Dynamics · Physics 2025-12-15 Yingjie Fei , Qindan Zhang , Youguang Ma , Huai-Zhi Li

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

The movement of the triple contact line plays a crucial role in many applications such as ink-jet printing, liquid coating and drainage (imbibition) in porous media. To design accurate computational tools for these applications, predictive…

The relaxation dynamics of the contact angle between a viscous liquid and a smooth substrate is studied at the nanoscale. Through atomic force microscopy measurements of polystyrene nanostripes we monitor simultaneously the temporal…

Soft Condensed Matter · Physics 2015-12-03 Marco Rivetti , Thomas Salez , Michael Benzaquen , Elie Raphaël , Oliver Bäumchen

We investigate the dynamics of micron-scale drops pushed across a hydrophobic or superhydrophobic surface. The velocity profile across the drop varies from quadratic to linear with increasing height, indicating a crossover from a sliding to…

Soft Condensed Matter · Physics 2010-09-24 B. M. Mognetti , H. Kusumaatmaja , J. M. Yeomans

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

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

The spreading of a liquid over a solid material is a key process in a wide range of applications. While this phenomenon is well understood when the solid is undeformable, its "soft" counterpart is still ill-understood and no consensus has…

Soft Condensed Matter · Physics 2019-04-18 Matthieu Roché , Laurent Limat , Julien Dervaux

Contact angle hysteresis of droplets will be examined in light of static friction between liquid drop and solid surface. Unlike frictions in solid-solid interfaces, pinning forces at contact points or contact lines would be the cause of…

Fluid Dynamics · Physics 2024-12-03 Jong-In Yang , Jooyoo Hong

When a droplet gently lands on an atomically smooth substrate, it will most likely contact the underlying surface in about 0.1 s. However, theoretical estimation from fluid mechanics predicts a contact time of 10 to 100 s. What causes this…

Fluid Dynamics · Physics 2017-06-13 Hau Yung Lo , Yuan Liu , Lei Xu

Contact angle is an important parameter in characterizing the wetting properties of fluids. The most common methods for measuring the contact angle is to measure it directly from the profile curve of a sessile drop, a method with certain…

Fluid Dynamics · Physics 2019-01-30 Feredoon Behroozi , Peter Behroozi

A free-falling absorbing liquid drop hit by a nanosecond laser-pulse experiences a strong recoil-pressure kick. As a consequence, the drop propels forward and deforms into a thin sheet which eventually fragments. We study how the drop…

The early stages of drop impact onto a solid surface are considered. Detailed numerical simulations and detailed asymptotic analysis of the process reveal a self-similar structure both for the velocity field and the pressure field. The…

Fluid Dynamics · Physics 2016-05-04 Julien Philippi , Pierre-Yves Lagrée , Arnaud Antkowiak

We present a lattice Boltzmann solution of the equations of motion describing the spreading of droplets on topologically patterned substrates. We apply it to model superhydrophobic behaviour on surfaces covered by an array of micron-scale…

Soft Condensed Matter · Physics 2007-05-23 A. Dupuis , J. M. Yeomans

We investigate the dynamics of drop impacts on dry solid surfaces. By synchronising high-speed photography with fast force sensing, we simultaneously measure the temporal evolution of the shape and impact force of impacting drops over a…

Fluid Dynamics · Physics 2018-03-14 Leonardo Gordillo , Ting-Pi Sun , Xiang Cheng

Given the importance of dynamic contact angle, its numerous applications and the complexity and difficulty of use of available approaches, here we present a new simple semi-empirical models for estimation of dynamic contact angle's…

Fluid Dynamics · Physics 2019-09-18 Pooyan Heravi , Zung-Hang Wei , Farschad Torabi
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