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An analytical model is proposed for the Young-Laplace equation of two-dimensional (2D) drops under gravity. Inspired by the pioneering work of Landau & Lifshitz (1987), we derive analytical expressions of the profile of drops on flat…

流体动力学 · 物理学 2018-10-31 Cunjing Lv

We consider the equilibrium of liquid droplets sitting on thin elastic sheets that are subject to a boundary tension and/or are clamped at their edge. We use scaling arguments, together with a detailed analysis based on the…

软凝聚态物质 · 物理学 2019-03-20 Benny Davidovitch , Dominic Vella

We study the wetting of a thin elastic filament floating on a fluid surface by a droplet of another, immiscible fluid. This quasi-2D experimental system is the lower-dimensional counterpart of the wetting and wrapping of a droplet by an…

软凝聚态物质 · 物理学 2023-12-11 S Ganga Prasath , Joel Marthelot , Narayanan Menon , Rama Govindarajan

A partially-wetting liquid can deform the underlying elastic substrate upon which it rests. This situation requires the development of theoretical models to describe the wetting forces imparted by the drop onto the solid substrate,…

软凝聚态物质 · 物理学 2014-05-02 Joshua B. Bostwick , Michael Shearer , Karen E. Daniels

The Young-Dupr\'e equation is a cornerstone of the equilibrium theory of capillary and wetting phenomena. In the biological world, interfacial phenomena are ubiquitous, from the spreading of bacterial colonies to tissue growth and flocking…

软凝聚态物质 · 物理学 2026-04-16 Yongfeng Zhao , Ruben Zakine , Adrian Daerr , Yariv Kafri , Julien Tailleur , Frédéric van Wijland

Young's law fails on soft solid and liquid substrates where there are substantial deformations near the contact line. On liquid substrates, this is captured by Neumann's classic analysis, which provides a geometrical construction for…

软凝聚态物质 · 物理学 2015-03-13 Robert W. Style , Eric R. Dufresne

In this paper, we systematically investigate the wetting behavior of a liquid ring in a cylindrical capillary tube. We obtain analytical solutions of the axisymmetric Young-Laplace equation for arbitrary contact angles. We find that, for…

流体动力学 · 物理学 2019-09-27 Cunjing Lv , Steffen Hardt

We study the interaction of an elastic beam with a liquid drop in the case where bending and extensional effects are both present. We use a variational approach to derive equilibrium equations and constitutive relation for the beam. This…

软凝聚态物质 · 物理学 2014-04-08 Sébastien Neukirch , Arnaud Antkowiak , Jean-Jacques Marigo

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

The size-dependent contact angle and the drying and wetting morphological transition are studied with respect to the volume change for a spherical cap-shaped droplet placed on a spherical substrate. The line-tension effect is included using…

软凝聚态物质 · 物理学 2016-11-03 Masao Iwamatsu

An example of capillary phenomena commonly seen and often studied is a droplet of water hanging in air from a horizontal surface. A thin capillary surface interface between the liquid and gas develops tangential surface tension, which…

流体动力学 · 物理学 2019-04-09 Dale G. Karr

The effects of line tension on the morphology of a sessile droplet placed on top of a convex spherical substrate are studied. The morphology of the droplet is determined from the global minimum of the Helmholtz free energy. The contact…

软凝聚态物质 · 物理学 2016-05-25 Masao Iwamatsu

Conventional wetting theories on rough surfaces with Wenzel, Cassie-Baxter, and Penetrate modes suggest the possibility of tuning the contact angle by adjusting the surface texture. Despite decades of intensive study, there are still many…

流体动力学 · 物理学 2018-05-08 Donggyu Kim , Nicola M. Pugno , Seunghwa Ryu

We discuss the effect of an external electric field on the wetting of a solid surface by liquid. To this end, we use a model of the two-level-atom fluid for which the changes in interatomic interactions due to the presence of the field can…

软凝聚态物质 · 物理学 2017-02-20 Vasyl Myhal , Oleg Derzhko

Raindrops falling on window panes spread upon contact, whereas hail can cause dents or scratches on the same glass window upon contact. While the former phenomenon resembles classical wetting, the latter is dictated by contact and adhesion…

软凝聚态物质 · 物理学 2023-08-03 A-Reum Kim , Surjyasish Mitra , Sudip Shyam , Boxin Zhao , Sushanta K. Mitra

We calculate the normal capillary retention force that anchors a drop to a solid surface in the direction perpendicular to the surface, and study the relationship between such force and the Young-Dupre work of adhesion. We also calculate…

软凝聚态物质 · 物理学 2022-06-08 Rafael de la Madrid , Huy Luong , Jacob Zumwalt

The effects of line tension on the morphology of a lens-shaped droplet and bubble placed on the inner wall of a spherical cavity are studied. The contact angle between the lens-shaped droplet and the concave spherical substrate is expressed…

软凝聚态物质 · 物理学 2016-05-04 Masao Iwamatsu

In this work, we extend the model of contact angles that we have previously developed for sessile drops on a wetted surface to the case of a meniscus in a capillary. The underlying physics of our model describe the intermolecular forces…

流体动力学 · 物理学 2023-12-20 Leonid Pekker , David Pekker , James Myrick

The elastocapillary instability of a flexible plate plunged in a liquid bath is analysed theoretically. We show that the plate can bend due to two separate destabilizing mechanisms, when the liquid is partially wetting the solid. For…

流体动力学 · 物理学 2015-05-30 Bruno Andreotti , Antonin Marchand , Siddhartha Das , Jacco H. Snoeijer

The surface tension of compliant materials such as gels provides resistance to deformation in addition to and sometimes surpassing that due to elasticity. This article studies how surface tension changes the contact mechanics of a small…

软凝聚态物质 · 物理学 2015-02-19 Chung-Yuen Hui , Tianshu Liu , Thomas Salez , Elie Raphael , Anand Jagota
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