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The molecular structure of moving contact lines (MCLs) and the emergence of a corresponding macroscopic dissipation have made the MCL a paradigm of fluid dynamics. Through novel averaging techniques that remove capillary waves smearing we…

Soft Condensed Matter · Physics 2022-11-02 Amal K. Giri , Paolo Malgaretti , Dirk Peschka , Marcello Sega

We demonstrate that Multi-Body Dissipative Particle Dynamics (MDPD) can be used as an efficient computational tool for the investigation of nanoscale capillary impregnation of confined geometries. As an essential prerequisite, a novel model…

Soft Condensed Matter · Physics 2007-05-23 C. Cupelli , B. Henrich , M. Moseler , M. Santer

If a droplet is placed on a substrate with a conical shape it spontaneously starts to spread in the direction of a growing fibre radius. We describe this capillary spreading dynamics by developing a lubrication approximation on a cone and…

Fluid Dynamics · Physics 2020-05-13 Tak Shing Chan , Fan Yang , Andreas Carlson

Two cylinders rotating next to each other generate a large hydrodynamic force if the intermediate space is filled with a viscous fluid. Herein, we explore the case where the cylinders are separated by two layers of viscous immiscible…

Soft Condensed Matter · Physics 2024-03-29 Aditya Jha , Yacine Amarouchene , Thomas Salez

The moving contact-line problem is of both theoretical and practical interest. The dynamic contact angle changes with the capillary number defined by the contact-line speed, and the correlation also depends on the equilibrium contact angle…

Fluid Dynamics · Physics 2022-06-29 Jun Li

The interface of a soft hydrogel is easily deformed when it is in contact with particles, droplets or cells. Here we compute the intricate shapes of hydrogel menisci due to the indentation of point particles. The analysis is based on a free…

Soft Condensed Matter · Physics 2018-08-01 Anupam Pandey , Charlotte L. Nawijn , Jacco H. Snoeijer

Meniscus oscillations at interfaces between liquids, solids, and air significantly impact fluid dynamics and control. While idealized models exist, experimental data on capillary-gravity wave scattering involving meniscus effects remain…

Fluid Dynamics · Physics 2026-01-21 Zhengwu Wang , Guoqin Liu , Likun Zhang

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…

Fluid Dynamics · Physics 2018-10-31 Cunjing Lv

Aqueous capillary liquid bridges are ubiquitous in nature and in technological processes. Here, we comparatively investigate capillary bridges formed between three distinct types of surfaces: (i) hydrophilic glass, (ii) hydrophobic…

Soft Condensed Matter · Physics 2026-01-05 Sarah Jane Goodband , Ke Sun , Kislon Voïtchovsky , Halim Kusumaatmaja

The merging of immiscible drops differs significantly from the merging of miscible drops due to the formation of a liquid-liquid interface between drops. The immiscibility requires the formation of a four-phase contact point, where the…

Fluid Dynamics · Physics 2022-01-26 Peyman Rostami , Günter K. Auernhammer

In microgravity, a partially filled cylindrical tank is generally bounded by a curved equilibrium meniscus rather than by an almost flat free surface. This modifies both the bulk liquid inertia and the capillary restoring force, so…

Fluid Dynamics · Physics 2026-05-04 Gianni Cassoni

The displacement of a more viscous fluid by a less viscous immiscible fluid in confined geometries is a fundamental problem in multiphase flows. Recent experiments have shown that such fluid-fluid displacement in micro-capillary tubes can…

Fluid Dynamics · Physics 2025-12-01 Sthavishtha R. Bhopalam , Ruben Juanes , Hector Gomez

The established macroscopic equations of motion for two phase immiscible displacement in porous media are known to be physically incomplete because they do not contain the surface tension and surface areas governing capillary phenomena.…

Materials Science · Physics 2009-10-31 R. Hilfer

We consider the location and order of capillary condensation transitions occurring in deep grooves of width $L$ and depth $D$. For walls that are completely wet by liquid (contact angle $\theta=0$) the transition is continuous and its…

Statistical Mechanics · Physics 2018-04-18 A. Malijevský , A. Parry

Self-encapsulated droplets floating at an oil--air interface undergo striking shape changes during evaporation, including flattening and localized loss of membrane tension leading to crumpling and wrinkling. Here we combine experiments,…

Soft Condensed Matter · Physics 2026-05-11 D. Andrini , D. Riccobelli , L. Gazzera , S. Molteni , P. Metrangolo , P. Ciarletta

In this paper, an anisotropic volume-preserving mean curvature type flow for star-shaped anisotropic $\omega_0$-capillary hypersurfaces in the half-space is studied, and the long-time existence and smooth convergence to a capillary Wulff…

Differential Geometry · Mathematics 2025-01-22 Shanwei Ding , Jinyu Gao , Guanghan Li

The dynamics of a rigid particle above a fluid-fluid interface in shear flow is studied here numerically and analytically as a function of the downward force applied on the particle. It is found here that the particle goes below the…

Soft Condensed Matter · Physics 2025-08-04 Alexander Farutin

We have employed the Density Functional Theory formalism to investigate the nematic-isotropic capillary transitions of a nematogen confined by walls that favor antagonist orientations to the liquid crystal molecules (hybrid cell). We…

Statistical Mechanics · Physics 2009-11-10 I. Rodriguez-Ponce , J. M. Romero-Enrique , L. F. Rull

Advancing and receding angles are physical quantities frequently measured to characterize the wetting properties of a rough surface. Thermodynamically, the advancing and receding angles are often interpreted as the maximum and minimum…

Soft Condensed Matter · Physics 2019-12-12 Donggyu Kim , Keonwook Kang , Seunghwa Ryu

The geometric motion of small droplets placed on an impermeable textured substrate is mainly driven by the capillary effect, the competition among surface tensions of three phases at the moving contact lines, and the impermeable substrate…

Numerical Analysis · Mathematics 2022-11-08 Yuan Gao , Jian-Guo Liu
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