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We study fully three-dimensional droplets that slide down an incline by employing a thin-film equation that accounts for capillarity, wettability, and a lateral driving force in small-gradient (or long-wave) approximation. In particular, we…

Fluid Dynamics · Physics 2016-12-15 Sebastian Engelnkemper , Markus Wilczek , Svetlana V. Gurevich , Uwe Thiele

The lattice Boltzmann model is a simplified kinetic method based on the particle distribution function. We use this method to simulate problems in MEMS, in which the velocity slip near the wall plays an important role. It is demonstrated…

comp-gas · Physics 2007-05-23 Xiaobo Nie , Gary D. Doolen , Shiyi Chen

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

We consider the finite-size scaling of equilibrium droplet shapes for fluid adsorption (at bulk two-phase co-existence) on heterogeneous substrates and also in wedge geometries in which only a finite domain $\Lambda_{A}$ of the substrate is…

Condensed Matter · Physics 2009-10-31 A. O. Parry , E. D. Macdonald , C. Rascon

Bootstrap percolation on a graph is a deterministic process that iteratively enlarges a set of occupied sites by adjoining points with at least $\theta$ occupied neighbors. The initially occupied set is random, given by a uniform product…

Probability · Mathematics 2018-07-30 Janko Gravner , David Sivakoff

Tissue growth underpins a wide array of biological and developmental processes, and numerical modeling of growing systems has been shown to be a useful tool for understanding these processes. However, the phenomena that can be captured are…

Soft Condensed Matter · Physics 2023-11-08 Andrew Killeen , Benjamin Partridge , Thibault Bertrand , Chiu Fan Lee

This paper explores the friction forces encountered by droplets on non-wetting surfaces, specifically focusing on superhydrophobic and superheated substrates. Employing a combination of experimental techniques, including inclined plane…

We present a Monte Carlo (MC) grid-based model for the drying of drops of a nanoparticle suspension upon a heterogeneous surface. The model consists of a generalised lattice-gas in which the interaction parameters in the Hamiltonian can be…

Soft Condensed Matter · Physics 2017-07-25 C. Chalmers , R. Smith , A. J. Archer

The equilibrium properties of polymer droplets on a soft deformable surface are investigated by molecular dynamics simulations of a bead-spring model. The surface consists of a polymer brush with irreversibly end-tethered linear homopolymer…

Soft Condensed Matter · Physics 2015-05-28 Fabien Léonforte , Marcus Müller

When a droplet hits a surface fast enough, droplet splashing can occur: smaller secondary droplets detach from the main droplet during impact. While droplet splashing on smooth surfaces is by now well understood, the surface roughness also…

Fluid Dynamics · Physics 2021-05-05 T. C. de Goede , K. G. de Bruin , N. Shahidzadeh , D. Bonn

The impact of a jet of droplets upon surfaces of varying hydrophobicity is studied via high-speed imaging. Microstructures on silicone surfaces consisting of cylindrical pillars of varying sizes and spacings are utilized to enhance…

Droplet impact on rough surfaces is of critical importance to various applications, yet remains incompletely understood. The present work aims to uncover droplet impact dynamics on random hydrophobic surfaces using volume of fluid…

Fluid Dynamics · Physics 2026-03-11 Huihuang Xia , Yixiang Gan , Wei Ge

A liquid droplet is placed on a rotating helical fiber. We find that the droplet may slide down, attach or climb up the fiber. We inspect experimentally the domain of existence of these three behaviors as a function of the geometrical…

Fluid Dynamics · Physics 2015-11-02 Baptiste Darbois Texier , Stéphane Dorbolo

We present a novel dynamic light scattering setup to probe, with time and space resolution, the microscopic dynamics of soft matter systems confined within millimeter-sized spherical drops. By using an ad-hoc optical layout, we tackle the…

Soft Condensed Matter · Physics 2024-02-16 Matteo Milani , Ty Phou , Guillame Prevot , Laurence Ramos , Luca Cipelletti

We present the results of a combined experimental and theoretical study of the spreading of viscous droplets over rigid substrates. First, we experimentally investigate the wetting of a roughened glass surface by a viscous droplet of…

Fluid Dynamics · Physics 2026-02-03 David Darrow , Lucas Warwaruk , John W. M. Bush

We numerically study the behavior of self-propelled liquid droplets whose motion is triggered by a Marangoni-like flow. This latter is generated by variations of surfactant concentration which affect the droplet surface tension promoting…

Soft Condensed Matter · Physics 2017-12-20 F. Fadda , G. Gonnella , A. Lamura , A. Tiribocchi

Manipulating fluids at the nanoscale within networks of channels or chemical lanes is a crucial challenge in developing small scale devices to be used in microreactors or chemical sensors. In this context, ultra-thin (i.e., monolayer)…

Materials Science · Physics 2009-11-10 M. N. Popescu , S. Dietrich

The implementation of boundary conditions is among the most challenging parts of modeling fluid flow through channels and complex media. Here, we show that the existing methods to deal with liquid-wall interactions using multicomponent…

Computational Physics · Physics 2021-05-19 Rodrigo C. V. Coelho , Catarina B. Moura , Margarida M. Telo da Gama , Nuno A. M. Araújo

This article is on the simultaneous diffusion approximation and homogenization of the linear Boltzmann equation when both the mean free path $\varepsilon$ and the heterogeneity length scale $\eta$ vanish. No periodicity assumption is made…

Analysis of PDEs · Mathematics 2016-10-11 Claude Bardos , Harsha Hutridurga

We study a kinetically constrained lattice glass model in which continuous local densities are randomly redistributed on neighbouring sites with a kinetic constraint that inhibits the process at high densities, and a random bias accounting…

Disordered Systems and Neural Networks · Physics 2007-05-23 Eric Bertin , Jean-Philippe Bouchaud , Francois Lequeux
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