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It is common to relate the dynamic contact angle $\theta_d$ to the relative speed between the substrate and the contact line; theory suggests $\theta_d^3 \propto U$. In fact, available physical models show that the dynamic angle involves…

流体动力学 · 物理学 2007-05-23 Jens Eggers , Howard A. Stone

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…

The understanding of the spreading of liquids on solid surfaces is an important challenge for contemporary physics. Today, the motion of the contact line formed at the intersection of two immiscible fluids and a solid is still subject to…

经典物理 · 物理学 2009-11-13 Henri Gouin

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…

流体动力学 · 物理学 2022-08-18 Carlos A. Galeano-Rios

The spreading of liquid drops on soft substrates is extremely slow, owing to strong viscoelastic dissipation inside the solid. A detailed understanding of the spreading dynamics has remained elusive, partly owing to the difficulty in…

软凝聚态物质 · 物理学 2019-07-19 M. van Gorcum , S. Karpitschka , B. Andreotti , J. H. Snoeijer

We construct a novel model for the steady-state contact angles of liquid droplets at the wetted substrate. The non-removable, thin liquid film covering the substrate is governed by the intermolecular forces between molecules of liquid and…

流体动力学 · 物理学 2022-10-19 Leonid Pekker , David Pekker , Nikolai Petviashvili

The profiles of a spreading wetting film are computed taking into account intermolecular forces and introducing a kinetic slip condition at a molecular cut-off distance. This eliminates the stress singularity, so that both "true" and…

流体动力学 · 物理学 2007-05-23 Len M. Pismen , Boris Y. Rubinstein

The change in contact angles due to the injection of low salinity water or any other wettability altering agent in an oil-rich porous medium is modeled by a network model of disordered pores transporting two immiscible fluids. We introduce…

流体动力学 · 物理学 2015-07-23 Vegard Flovik , Santanu Sinha , Alex Hansen

The intricate interaction between the deformability of a substrate and the dynamic spreading of a liquid drop on the same, under the application of an electrical voltage, has remained far from being well understood. Here, we demonstrate…

流体动力学 · 物理学 2016-04-27 Ranabir Dey , Ashish Daga , Sunando DasGupta , Suman Chakraborty

We study the dynamics of contact angle of a droplet of binary solution evaporating on a super wetting surface. Recent experiments show that although equilibrium contact angle of such droplet is zero, the contract angle can show complex time…

软凝聚态物质 · 物理学 2021-07-27 Mengmeng Wu , Masao Doi , Xingkun Man

The prevailing models for advancing dynamic contact angle are under intensive debates, and the fitting performances are far from satisfying in practice. The present study proposes a model based on the recent understanding of the multi-scale…

软凝聚态物质 · 物理学 2019-02-05 Hao Wang , Lei Chen

We prove the invariance of the contact angle in liquid-solid wetting phenomena : an electrified droplet is spreading on a solid surface. The drop is minimizing its energy. We express the differential of this energy with respect to the shape…

经典分析与常微分方程 · 数学 2007-07-19 C. Scheid , P. Witomski

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…

偏微分方程分析 · 数学 2019-07-15 Ian Tice , Lei Wu

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…

经典物理 · 物理学 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…

流体动力学 · 物理学 2025-12-15 Yingjie Fei , Qindan Zhang , Youguang Ma , Huai-Zhi Li

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…

软凝聚态物质 · 物理学 2023-01-25 Alice Pelosse , Élisabeth Guazzelli , Matthieu Roché

The spreading of a pure, volatile liquid on a wettable substrate has been studied in extensive detail. Here we show that the addition of a miscible, non-volatile liquid can strongly alter the contact line dynamics and the final liquid…

软凝聚态物质 · 物理学 2020-02-19 Asher P. Mouat , Clay E. Wood , Justin E. Pye , Justin C. Burton

The contact angle between a gas-liquid interface and a solid surface is a function of the dynamic conditions of the contact line. Classic steady correlations link the contact angle to the contact line velocity. However, it is not clear…

流体动力学 · 物理学 2022-11-09 Domenico Fiorini , Miguel Alfonso Mendez , Alessia Simonini , Johan Steelant , David Seveno

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…

流体动力学 · 物理学 2019-01-30 Feredoon Behroozi , Peter Behroozi

The contact angle of a fluid droplet on an heterogeneous surface is analysed using the statistical dynamics of the spreading contact line. The statistical properties of the final droplet radius and contact angle are obtained through…

软凝聚态物质 · 物理学 2015-06-05 Mikko J. Alava , Martin Dube
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