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The size dependence of the equilibrium droplet contact angle is governed by line tension. In this work, we identify a contribution to line tension arising from gravitational effects and pressure-induced changes in volume-fraction-dependent…

Fluid Dynamics · Physics 2026-02-23 Franziska Aurbach , Fei Wang , Britta Nestler

The line tension of an electrolyte wetting a non-polar substrate is computed analytically and numerically. The results show that, depending on the value of the apparent contact angle, positive or negative line tension values may be…

Chemical Physics · Physics 2014-11-06 Aaron Dörr , Steffen Hardt

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

We perform a thermodynamic analysis of various contributions to the size dependence of the contact-angle cosine for both axisymmetric and cylindrical sessile droplets. This shows that a commonly used method to determine the line tension…

Soft Condensed Matter · Physics 2025-03-31 Dmitry V. Tatyanenko , Konstantin D. Apitsin

We theoretically investigate the apparent contact angle and contact angle hysteresis of a droplet placed on a liquid infused surface. We show that the apparent contact angle is not uniquely defined by material parameters, but also has a…

Soft Condensed Matter · Physics 2016-05-24 Ciro Semprebon , Glen McHale , Halim Kusumaatmaja

Using an interface displacement model we calculate the shapes of nanometer-size liquid droplets on homogeneous cylindrical surfaces. We determine effective contact angles and line tensions, the latter defined as excess free energies per…

Soft Condensed Matter · Physics 2009-10-31 C. Bauer , S. Dietrich

The surface tension of monolayers with mixtures of anionic and nonionic surfactant at the liquid/vapour interface is studied. Previous works have observed that calculations of the surface tension of simple fluids show artificial…

A novel mechanical approach is developed to explore by means of atom-scale simulation the concept of line tension at a solid-liquid-vapor contact line as well as its dependence on temperature, confinement, and solid/fluid interactions. More…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Romain Bey , Benoit Coasne , Cyril Picard

We study the flow close to an advancing contact line in the limit of small capillary number. To take into account wetting effects, both long and short-ranged contributions to the disjoining pressure are taken into account. In front of the…

Fluid Dynamics · Physics 2009-11-11 Jens Eggers

A systematically designed study has been conducted to understand and clearly demarcate the degree of contribution by the constituting elements to the surface tension of nanocolloids. The effects of elements such as surfactants, particles…

Soft Condensed Matter · Physics 2016-10-20 A R Harikrishnan , Purbarun Dhar , PK Agnihotri , Sateesh Gedupudi , Sarit K Das

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 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…

Soft Condensed Matter · Physics 2016-05-25 Masao Iwamatsu

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…

Soft Condensed Matter · Physics 2019-03-20 Benny Davidovitch , Dominic Vella

An evaporating droplet is a dynamic system in which flow is spontaneously generated to minimize the surface energy, dragging particles to the borders and ultimately resulting in the so-called "coffee-stain effect". The situation becomes…

Fluid Dynamics · Physics 2015-11-24 Alvaro Marin , Robert Liepelt , Massimiliano Rossi , Christian J. Kähler

The levelling of short-wave irregularities on a thin film of fluid is primarily due to the action of surface tension. Surface tension gradients are often created by a number of different factor including evaporation, thermal gradients or…

Dynamical Systems · Mathematics 2016-09-07 A. J. Roberts , M. E. Simpson

The interfacial tension of a liquid droplet surrounded by another liquid in the presence of microscopic ions is studied as a function of the droplet radius. An analytical expression for the interfacial tension is obtained within a linear…

Soft Condensed Matter · Physics 2011-09-14 Markus Bier , Joost de Graaf , Jos Zwanikken , Rene van Roij

We analyze the surface tension exerted at the interface between an active fluid and a solid boundary in terms of tangential forces. Focusing on active systems known to possess an equation of state for the pressure, we show that interfacial…

The equilibrium contact angle of a droplet resting on a solid substrate can reveal essential properties of the solid's surface. However, when the motion of a droplet on a surface shows significant hysteresis, it is generally accepted that…

Soft Condensed Matter · Physics 2021-07-14 Jin Young Kim , Stefanie Heyden , Dominic Gerber , Nicolas Bain , Eric R. Dufresne , Robert W. Style

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

The contact line (CL) is where solid, liquid and vapor phases meet, and Young's equation describes the macroscopic force balance of the interfacial tensions between these three phases. These interfacial tensions are related to the nanoscale…

Chemical Physics · Physics 2024-02-12 Minori Shintaku , Haruki Oga , Hiroki Kusudo , Edward R. Smith , Takeshi Omori , Yasutaka Yamaguchi
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