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Numerical simulation of particle motion in fluids at low particle Reynolds numbers is often based on empirical force and torque models obtained by fitting force and torque from ab-initio computations for simple particle shapes such as…

Fluid Dynamics · Physics 2026-01-14 L. Sundberg , F. Candelier , N. Fintzi , G. Voth , J. L. Pierson , K. Gustavsson , B. Mehlig

In the regime of lubrication approximation, we look at spreading phenomena under the action of singular potentials of the form $P(h)\approx h^{1-m}$ as $h\to 0^+$ with $m>1$, modeling repulsion between the liquid-gas interface and the…

Analysis of PDEs · Mathematics 2023-11-09 Riccardo Durastanti , Lorenzo Giacomelli

Different computational techniques in combination with molecular dynamics computer simulation are used to to determine the wall-liquid and the wall-crystal interfacial free energies of a modified Lennard-Jones (LJ) system in contact with a…

Statistical Mechanics · Physics 2015-06-16 Ronald Benjamin , Jürgen Horbach

We analyze theoretically a high-speed drainage of liquid films squeezed between a hydrophilic sphere and a textured super-hydrophobic plane, that contains trapped gas bubbles. A super-hydrophobic wall is characterized by parameters $L$…

Fluid Dynamics · Physics 2014-01-23 Evgeny S. Asmolov , Aleksey V. Belyaev , Olga I. Vinogradova

Highly charged liquid droplets are unstable above the critical charge squared-to-volume ratio given by the Rayleigh limit. The instability leads to ion ejection from jets formed on the droplet's surface. Despite the many experiments that…

Fluid Dynamics · Physics 2021-06-08 Styliani Consta

We study the equilibrium of a liquid film on an attractive spherical substrate for an intermolecular interaction model exhibiting both fluid-fluid and fluid-wall long-range forces. We first reexamine the wetting properties of the model in…

Statistical Mechanics · Physics 2013-10-04 Andreas Nold , Alexandr Malijevský , Serafim Kalliadasis

It is theoretically shown that the excess liquid-liquid interfacial tension between two electrolyte solutions as a function of the ionic strength I behaves asymptotically as O(- I^0.5) for small I and as O(+- I) for large I. The former…

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

A numerical investigation of flat fan sprays is conducted via Direct Numerical Simulations (DNS). Diverging liquid sheets are generated using tailored initial velocity profiles, where the opening angle serves as an explicit control…

Fluid Dynamics · Physics 2025-10-23 Longxiang Huang , Benjamin Duret , François-Xavier Demoulin

Thin liquid films exhibit rich instability and rupture dynamics that critically impact coating performance across many applications. In this work, we use the lattice Boltzmann method (LBM) simulations within a lubrication-theory framework…

Materials Science · Physics 2026-05-01 Karim Gadelrab , Stefan Reimann-Zitz

We propose a method to determine the locally preferred structure of model liquids. This latter is obtained numerically as the global minimum of the effective energy surface of clusters formed by small numbers of particles embedded in a…

Soft Condensed Matter · Physics 2009-11-10 S. Mossa , G. Tarjus

A laterally confined thin elastic sheet lying on a liquid substrate displays regular undulations, called wrinkles, characterized by a spatially extended energy distribution and a well-defined wavelength $\lambda$. As the confinement…

Soft Condensed Matter · Physics 2015-06-30 Oz Oshri , Fabian Brau , Haim Diamant

We extend to multi-dimensions the work of [1], where new fully explicit kinetic methods were built for the approximation of linear and non-linear convection-diffusion problems. The fundamental principles from the earlier work are retained:…

Numerical Analysis · Mathematics 2023-12-29 Gauthier Wissocq , Rémi Abgrall

The base of a jet impinging on an ultrapure water bath is studied experimentally. At the impact point, a train of capillary waves develops along the jet. By performing Particle Tracking Velocity measurements, we show that there is a…

Fluid Dynamics · Physics 2023-11-16 Théophile Gaichies , Arnaud Antkowiak , Anniiina Salonen , Emmanuelle Rio

We simulate a hard-sphere liquid in confined geometry where the separation of the two parallel, hard walls is smaller than two particle diameters. By systematically reducing the wall separation we analyze the behavior of structural and…

Soft Condensed Matter · Physics 2022-08-18 Gerhard Jung , Thomas Franosch

We investigate stationary solutions of a thin-film model for liquid two-layer flows in an energetic formulation that is motivated by its gradient flow structure. The goal is to achieve a rigorous understanding of the contact-angle…

Analysis of PDEs · Mathematics 2012-10-23 Sebastian Jachalski , Robert Huth , Georgy Kitavtsev , Dirk Peschka , Barbara Wagner

The Enskog kinetic theory for moderately dense gas-solid suspensions under simple shear flow is considered as a model to analyze the rheological properties of the system. The influence of the environmental fluid on solid particles is…

Statistical Mechanics · Physics 2020-06-22 Hisao Hayakawa , Satoshi Takada , Vicente Garzo

Ionic liquids have generated interest in applications as lubricants and as additives to conventional lubricants due to their unique physical properties. In these applications, the liquid thin film can be subjected simultaneously to…

Soft Condensed Matter · Physics 2023-04-17 Kalil Bernardino , Mauro C. C. Ribeiro

Dispersion of low-density rigid particles with complex geometries is ubiquitous in both natural and industrial environments. We show that while explicit methods for coupling the incompressible Navier-Stokes equations and Newton's equations…

Computational Physics · Physics 2015-11-06 Uǧis Lācis , Kunihiko Taira , Shervin Bagheri

We discuss a lubrication approximation model of the interface between two immiscible fluids in a Hele-Shaw cell, derived in \cite{CDGKSZ93} and widely studied since. The model consists of a single one dimensional evolution equation for the…

Analysis of PDEs · Mathematics 2018-09-26 Peter Constantin , Tarek Elgindi , Huy Nguyen , Vlad Vicol

Thin liquid films on surfaces are part of our everyday life, they serve e.g. as coatings or lubricants. The stability of a thin layer is governed by interfacial forces, described by the effective interface potential, and has been subject of…

Soft Condensed Matter · Physics 2015-06-04 Oliver Bäumchen , Renate Fetzer , Mischa Klos , Matthias Lessel , Ludovic Marquant , Hendrik Hähl , Karin Jacobs
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