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A new formulation of the Phase Field Crystal model is presented that is consistent with the necessary microscopic independence between the phase field, reflecting the broken symmetry of the phase, and both mass density and elastic…

Materials Science · Physics 2020-09-09 Amit Acharya , Jorge Viñals

The hydrodynamic phase field model is applied to the problem of film spreading on a solid surface. The disjoining potential, responsible for modification of the fluid properties near a three-phase contact line, is computed from the…

Fluid Dynamics · Physics 2009-11-06 Len M. Pismen , Yves Pomeau

For super-heated water on a substrate with hydrophobic patches immersed in a hydrophilic matrix, one can choose the temperature so that micro-bubbles will form, grow and merge on the hydrophobic patches and not on the hydrophilic matrix.…

Fluid Dynamics · Physics 2023-01-16 J. C. Fernandez Toledano , J. De Coninck , F. Dunlop , T. Huillet

We construct a novel model for the steady-state contact angles of liquid droplets at the wetted substrate. The non-removable, thin liquid film covering the substrate is governed by the intermolecular forces between molecules of liquid and…

Fluid Dynamics · Physics 2022-10-19 Leonid Pekker , David Pekker , Nikolai Petviashvili

We present a phase-field model for simulating the solid-state dewetting of anisotropic crystalline films on non-planar substrates. This model exploits two order parameters to trace implicitly the crystal free surface and the substrate…

Mesoscale and Nanoscale Physics · Physics 2025-05-01 Emma Radice , Marco Salvalaglio , Roberto Bergamaschini

We numerically examine the dynamics of a probe particle driven at a constant force through an assembly of particles with competing long-range repulsion and short-range attraction that forms a bubble or stripe state. In the bubble regime, we…

Soft Condensed Matter · Physics 2025-05-27 C. Reichhardt , C. J. O. Reichhardt

We study the rolling and sliding motion of droplets on a corrugated substrate by Molecular Dynamics simulations. Droplets are driven by an external body force (gravity) and we investigate the velocity profile and dissipation mechanisms in…

Soft Condensed Matter · Physics 2009-11-13 J. Servantie , M. Müller

Surface nanobubbles are stable gaseous phases in liquids that form on solid substrates. While their existence has been confirmed, there are many open questions related to their formation and dissolution processes along with their structures…

Fluid Dynamics · Physics 2022-04-20 Zhizhao Che , Panagiotis E. Theodorakis

Based on static and dynamical density functional theory, a phase-field-crystal model is derived which involves both the translational density and the orientational degree of ordering as well as a local director field. The model exhibits…

Soft Condensed Matter · Physics 2015-05-19 Hartmut Löwen

Viscoplastic fluids can hold bubbles/particles stationary by balancing the buoyancy stress with the yield stress. In the present study, we investigate a suspension of bubbles in a yield-stress fluid. More precisely, we compute how much the…

Fluid Dynamics · Physics 2021-06-11 Emad Chaparian , Ian A. Frigaard

This work reveals that the dynamic response of a spherical cap bubble in contact with a rigid wall depends on the effective contact angle at the instant prior to collapse. This parameter allows us to discriminate between two regimes in…

Fluid Dynamics · Physics 2024-01-12 M Saini , E Tanne , M Arrigoni , S Zaleski , D Fuster

A model of multicellular systems with several types of cells is developed from the phase field model. The model is presented as a set of partial differential equations of the field variables, each of which expresses the shape of one cell.…

Biological Physics · Physics 2015-05-30 Makiko Nonomura

Accurate measurement of dynamic contact angles in aqueous environments is essential for evaluating surface wettability. However, conventional captive bubble methods often suffer from limitations such as bubble instability and interference…

Soft Condensed Matter · Physics 2026-05-13 Koki Iwasaki , Hiroyuki Ebata , Hiroaki Katsuragi

We study how bubbles grow after the initial nucleation event in generic first-order cosmological phase transitions characterised by the values of latent heat, interface tension and correlation length, and driven by a scalar order parameter…

Astrophysics · Physics 2009-10-22 J. Ignatius , K. Kajantie , H. Kurki-Suonio , M. Laine

The first stages of the path instability phenomenon known to affect the buoyancy-driven motion of gas bubbles rising in weakly or moderately viscous liquids are examined thanks to a recently developed numerical tool designed to assess the…

Fluid Dynamics · Physics 2023-12-21 P. Bonnefis , J. Sierra-Ausin , D. Fabre , J. Magnaudet

Wetting of sessile bubbles on solid and liquid surfaces has been studied. A model is presented for the contact angle of a sessile bubble based on a modified Young equation - the experimental results agree with the model. A hydrophilic…

Fluid Dynamics · Physics 2015-06-15 Steve Arscott

As a fluid object breaks, it often leaves behind satellite fragments. Here we show that satellite formation can follow universal dynamics, leading to robust satellite sizes. Specifically, we consider the breakup of a slowly stretched fluid…

Fluid Dynamics · Physics 2024-03-27 Anna Frishman , Daniel Lecoanet

This article deals with the issues of global-in-time existence and asymptotic analysis of a fluid-particle interaction model in the so-called bubbling regime. The mixture occupies the physical space $\Omega \subset \mathbb{R}^3$ which may…

Analysis of PDEs · Mathematics 2010-06-16 Jose A. Carrillo , Trygve Karper , Konstantina Trivisa

The buoyancy-driven dynamics of a pair of gas bubbles released in line is investigated numerically, focusing on highly inertial conditions under which isolated bubbles follow non-straight paths. In an early stage, the second bubble always…

Fluid Dynamics · Physics 2022-06-22 Jie Zhang , Ming-Jiu Ni , Jacques Magnaudet

Bubble growth, departure and sliding in low-pressure flow boiling has received considerable attention in the past. However, most applications of boiling heat transfer rely on high-pressure flow boiling, for which very little is known, as…

Fluid Dynamics · Physics 2024-05-29 Artyom Kossolapov , Matthew T. Hughes , Bren Phillips , Matteo Bucci