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The three-phase contact line of a droplet on a smooth surface can be characterized by the Young-Dupr\'e equation. It relates the interfacial energies with the macroscopic contact angle $\theta_e$. On the mesoscale, wettability is modeled by…

Fluid Dynamics · Physics 2018-07-24 Uwe Thiele , Jacco H. Snoeijer , Sarah Trinschek , Karin John

The contact line of a liquid drop on a solid exerts a nanometrically sharp surface traction. This provides an unprecedented tool to study highly localised and dynamic surface deformations of soft polymer networks. One of the outstanding…

Soft Condensed Matter · Physics 2018-11-21 Mathijs van Gorcum , Bruno Andreotti , Jacco H. Snoeijer , Stefan Karpitschka

In 1805, Young was the first who introduced an expression for contact angle in static, but today, the motion of the contact-line formed at the intersection of two immiscible fluids and a solid is still subject to dispute. By means of the…

Classical Physics · Physics 2008-01-22 Henri Gouin

The deformation of a soft substrate by a straight contact line is calculated, and the result applied to a static rivulet between two parallel contact lines. The substrate is supposed to be incompressible (Stokes like description of…

Soft Condensed Matter · Physics 2019-11-05 Laurent Limat

We present fully analytical solutions for the deformation of a stretched soft substrate due to the static wetting of a large liquid droplet, and compare our solutions to recently published experiments (Xu et al, Soft Matter 2018). Following…

Soft Condensed Matter · Physics 2021-03-17 Stefanie Heyden , Nicolas Bain , Qin Xu , Robert W Style , Eric R Dufresne

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…

Soft Condensed Matter · Physics 2023-12-11 S Ganga Prasath , Joel Marthelot , Narayanan Menon , Rama Govindarajan

By solving the Young Laplace equation of capillary hydrostatics one can accurately determine equilibrium shapes of droplets on relatively smooth solid surfaces. The solution, however of the Young Laplace equation becomes tricky when a…

Soft Condensed Matter · Physics 2013-06-05 Nikolaos T. Chamakos , Michail E. Kavousanakis , Athanasios G. Papathanasiou

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…

Liquid droplets hanging from solid surfaces are commonplace, but their physics is complex. Examples include dew or raindrops hanging onto wires or droplets accumulating onto a cover placed over warm food or windshields. In these scenarios,…

Soft Condensed Matter · Physics 2023-07-25 Muhammad Subkhi Sadullah , Yinfeng Xu , Sankara Arunachalam , Himanshu Mishra

We perform the analysis of predictions of a classical density functional theory for associating fluids with different association strength concerned with wetting of solid surfaces. The four associating sites water-like models with…

Soft Condensed Matter · Physics 2024-04-01 A. Kozina , M. Aguilar , O. Pizio , S. Sokołowski

We study a variational problem modeling equilibrium configurations of charged liquid droplets resting on a surface under a convexity constraint. In the two-dimensional case with Coulomb interactions, we establish the validity of Young's law…

Analysis of PDEs · Mathematics 2026-03-26 Michael Goldman , Matteo Novaga , Adriano Prade

Wettability of a substrates is characterized by a contact angle. Applicability of the simple formula developed by Derjaguin, which relates to the contact angle and disjoining pressure to nano-scale liquid droplets is reconsidered within the…

Soft Condensed Matter · Physics 2013-01-01 Masao Iwamatsu

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…

Soft Condensed Matter · Physics 2023-08-03 A-Reum Kim , Surjyasish Mitra , Sudip Shyam , Boxin Zhao , Sushanta K. Mitra

The dynamic of contact formation between soft materials immersed in a fluid is accompanied by fluid drainage and elastic deformation. As a result, controlling the coupling between lubrication pressure and elasticity provides strategies to…

Soft Condensed Matter · Physics 2018-10-01 Yumo Wang , Joelle Frechette

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…

Soft Condensed Matter · Physics 2016-05-04 Masao Iwamatsu

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…

Soft Condensed Matter · Physics 2016-11-03 Masao Iwamatsu

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…

Soft Condensed Matter · Physics 2020-02-19 Asher P. Mouat , Clay E. Wood , Justin E. Pye , Justin C. Burton

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

Liquid droplets usually wet smooth and homogeneous substrates isotropically. Recent research works have revealed that droplets sit, slide and spread anisotropically on uniaxially stretched soft substrates, showing an enhanced wettability…

Soft Condensed Matter · Physics 2022-12-02 Yixuan Du , Elmar Bonaccurso , Jianwei Guo , Kai Uhlig , Longquan Chen , Binyu Zhao , Günter K. Auernhammer

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…

Soft Condensed Matter · Physics 2017-02-20 Vasyl Myhal , Oleg Derzhko