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A thorough understanding of media tightness in automotive electronics is crucial for ensuring more reliable and compact product designs, ultimately improving product quality. Concerning the fundamental characteristics of fluid leakage…

Fluid Dynamics · Physics 2024-11-12 Huijie Zhang , Anja Lippert , Ronny Leonhardt , Tobias Tolle , Luise Nagel , Tomislav Maric

The rigid-lid approximation is a commonly used simplification in the study of density-stratified fluids in oceanography. Roughly speaking, one assumes that the displacements of the surface are negligible compared with interface…

Analysis of PDEs · Mathematics 2021-11-18 Vincent Duchene

Modern theories of the hydrophobic effect highlight its dependence on length scale, emphasizing in particular the importance of interfaces that emerge in the vicinity of sizable hydrophobes. We recently showed that a faithful treatment of…

Statistical Mechanics · Physics 2016-06-06 Suriyanarayanan Vaikuntanathan , Grant M Rotskoff , Alexander Hudson , Phillip Geissler

We present a new diffuse interface model for the dynamics of inextensible vesicles in a viscous fluid. A new feature of this work is the implementation of the local inextensibility condition in the diffuse interface context. Local…

Mathematical Physics · Physics 2015-06-18 Sebastian Aland , Sabine Egerer , John Lowengrub , Axel Voigt

We consider a fluid-structure interaction problem in the Eulerian, phase-field formulation. The problem is described using the Navier--Stokes equations for a viscous, incompressible fluid, coupled with the incompressible hyperelasticity…

Numerical Analysis · Mathematics 2026-03-30 Francis R. A. Aznaran , Martina Bukač , Boris Muha

This paper presents a three-dimensional framework for simulating dynamic wetting phenomena using the volume of fluid (VOF) method, implemented in Basilisk. A geometric interpolation scheme is developed to obtain an accurate and reliable…

Fluid Dynamics · Physics 2025-09-26 Yifan Han , Gerd Mutschke , Kerstin Eckert

Droplet impact in airflow environments is ubiquitous in nature and industry, making the understanding of this multiphase behavior crucial for technologies such as anti-icing and spray cooling. In this study, the dynamics of droplet impact…

Fluid Dynamics · Physics 2026-03-11 Yang Liu , Xuan Zhang , Yiqing Guo , Xiaomin Wu , Jingchun Min

We present a diffuse-interface model for the solid-state dewetting problem with anisotropic surface energies in ${\mathbb R}^d$ for $d\in\{2,3\}$. The introduced model consists of the anisotropic Cahn--Hilliard equation, with either a…

Analysis of PDEs · Mathematics 2023-02-15 Harald Garcke , Patrik Knopf , Robert Nürnberg , Quan Zhao

We study the roughening of interfaces in phase-separated active suspensions on substrates. At both large length and timescales, we show that the interfacial dynamics belongs to the |q|KPZ universality class discussed in Besse et al. Phys.…

Soft Condensed Matter · Physics 2025-03-25 Fernando Caballero , Ananyo Maitra , Cesare Nardini

The influence of temperature on interfacial fluid slip, as measured by molecular-dynamics simulations of a Couette flow comprising a Lennard-Jones fluid and rigid crystalline walls, is examined as a function of the fluid-solid interaction…

Fluid Dynamics · Physics 2021-06-30 Thiago F. Viscondi , Adriano Grigolo , Iberê L. Caldas , Julio R. Meneghini

Based on the invasion percolation model, a lattice model for the sweeping interface dynamics is constructed to describe the pattern forming process by a sweeping interface upon drying the water-granule mixture. The model is shown to produce…

Statistical Mechanics · Physics 2007-06-26 Hiizu Nakanishi , Ryo Yamamoto , Yumino Hayase , Namiko Mitarai

We consider two-layers of immiscible liquids confined between an upper and a lower rigid plate. The dynamics of the free liquid-liquid interface is described for arbitrary amplitudes by a single evolution equation derived from the basic…

Pattern Formation and Solitons · Physics 2007-05-23 D. Merkt , A. Pototsky , M. Bestehorn , U. Thiele

The wetting of soft elastic substrates exhibits many features that have no counterpart on rigid surfaces. Modelling the detailed elastocapillary interactions is challenging, and has so far been limited to single contact lines or single…

Fluid Dynamics · Physics 2023-08-11 Christopher Henkel , Jacco H. Snoeijer , Uwe Thiele

The contact angle between a gas-liquid interface and a solid surface is a function of the dynamic conditions of the contact line. Classic steady correlations link the contact angle to the contact line velocity. However, it is not clear…

We prove existence of weak solutions to a diffuse interface model describing the flow of a fluid through a deformable porous medium consisting of two phases. The system non-linearly couples Biot's equations for poroelasticity, including…

Analysis of PDEs · Mathematics 2024-08-27 Helmut Abels , Harald Garcke , Jonas Haselböck

Four results associated with the diffuse-interface model (DIM) for contact lines are reported in this paper. First, a boundary condition is derived, which states that the fluid near a solid wall must have a certain density $\rho_{0}$…

Fluid Dynamics · Physics 2021-09-27 E. S. Benilov

The steady state properties of an interface in a stationary Couette flow are addressed within the framework of fluctuating hydrodynamics. Our study reveals that thermal fluctuations are driven out of equilibrium by an effective shear rate…

Soft Condensed Matter · Physics 2010-04-26 Marine Thiébaud , Thomas Bickel

We present a new and efficient phase-field solver for viscoelastic fluids with moving contact line based on a dual-resolution strategy. The interface between two immiscible fluids is tracked by using the Cahn-Hilliard phase-field model, and…

Fluid Dynamics · Physics 2022-09-27 Kazem Bazesefidpar , Luca Brandt , Outi Tammisola

We show that, when a single relaxation time lattice Boltzmann algorithm is used to solve the hydrodynamic equations of a binary fluid for which the two components have different viscosities, strong spurious velocities in the steady state…

Computational Physics · Physics 2008-12-09 C. M. Pooley , H. Kusumaatmaja , J. M. Yeomans

The complicated dynamics of the contact line of a moving droplet on a solid substrate often hamper the efficient modeling of microfluidic systems. In particular, the selection of the effective boundary conditions, specifying the contact…

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