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A mass-conserving contact line treatment for second-order conservative phase field methods is presented and applied to the conservative diffuse interface (CDI) model. The treatment centers on a no-flux boundary condition for the phase field…

Fluid Dynamics · Physics 2024-12-24 Reed L. Brown , Shahab Mirjalili , Makrand A. Khanwale , Ali Mani

Phase field modelling offers an extremely general framework to predict microstructural evolutions in complex systems. However, its computational implementation requires a discretisation scheme with a grid spacing small enough to preserve…

Computational Physics · Physics 2018-07-18 Alphonse Finel , Yann Le Bouar , Benoît Dabas , Benoît Appolaire

We study the solid-on-solid interface model above a horizontal wall in three dimensional space, with an attractive interaction when the interface is in contact with the wall, at low temperatures. The system presents a sequence of layering…

Statistical Mechanics · Physics 2012-06-06 Salvador Miracle-Sole

We consider a liquid drop placed on a smooth homogeneous solid substrate as it spreads from rest to its eventual equilibrium state. The problem is studied numerically in the framework of a model where the contact angle formed by the drop's…

Fluid Dynamics · Physics 2022-08-18 Carlos A. Galeano-Rios

The contact angle of a fluid droplet on an heterogeneous surface is analysed using the statistical dynamics of the spreading contact line. The statistical properties of the final droplet radius and contact angle are obtained through…

Soft Condensed Matter · Physics 2015-06-05 Mikko J. Alava , Martin Dube

We introduce a phenomenological continuum model for mode III dynamic fracture that is based on the phase-field methodology used extensively to model interfacial pattern formation. We couple a scalar field, which distinguishes between…

Soft Condensed Matter · Physics 2009-11-07 Alain Karma , David A. Kessler , Herbert Levine

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

Understanding the interaction mechanics between graphene layers and co-axial carbon nanotubes (CNTs) is essential for modeling graphene and CNT-based nanoelectromechanical systems. This work proposes a new continuum contact model to study…

Computational Physics · Physics 2024-02-09 Aningi Mokhalingam , Shakti S. Gupta , Roger A. Sauer

The contact line of a liquid drop on a solid exerts a nanometrically sharp surface traction. This provides an unprecedented tool to study highly localised and dynamic surface deformations of soft polymer networks. One of the outstanding…

Soft Condensed Matter · Physics 2018-11-21 Mathijs van Gorcum , Bruno Andreotti , Jacco H. Snoeijer , Stefan Karpitschka

The finite element simulation of dynamic wetting phenomena, requiring the computation of flow in a domain confined by intersecting a liquid-fluid free surface and a liquid-solid interface, with the three-phase contact line moving across the…

Computational Physics · Physics 2012-02-20 J. E. Sprittles , Y. D. Shikhmurzaev

The electric double layer structure in an electrolyte close to a solid substrate near the three-phase contact line is approximated by considering the linearized Poisson-Boltzmann equation in a wedge geometry. The mathematical approach…

Soft Condensed Matter · Physics 2012-09-03 Aaron Dörr , Steffen Hardt

The prevailing models for advancing dynamic contact angle are under intensive debates, and the fitting performances are far from satisfying in practice. The present study proposes a model based on the recent understanding of the multi-scale…

Soft Condensed Matter · Physics 2019-02-05 Hao Wang , Lei Chen

The conventional no-slip boundary condition leads to a non-integrable stress singularity at a moving contact line. This makes numerical simulations challenging, especially when capillary effects are essential for the dynamics of the flow.…

Fluid Dynamics · Physics 2017-09-18 Hanna Holmgren , Gunilla Kreiss

The stability and axisymmetric deformation of two immiscible, viscous, perfect or leaky dielectric fluids confined in the annulus between two concentric cylinders are studied in the presence of radial electric fields. The fields are set up…

Fluid Dynamics · Physics 2020-07-08 Qiming Wang , Demetrios T. Papageorgiou

We use a lattice Boltzmann algorithm for liquid-gas coexistence to investigate the steady state interface profile of a droplet held between two shearing walls. The algorithm solves the hydrodynamic equations of motion for the system.…

Soft Condensed Matter · Physics 2009-11-07 A. J. Briant , P. Papatzacos , J. M. Yeomans

This study considers the spreading of a Newtonian and perfectly wetting liquid in a square array of cylindric micropillars confined between two plates. We show experimentally that the dynamics of the contact line follows a Washburn-like law…

Controlling the spatial distribution of liquid droplets on surfaces via surface energy patterning can be used to control material delivery to specified regions via selective liquid/solid wetting. While studies of the equilibrium shape of…

Soft Condensed Matter · Physics 2007-05-23 Gary S. Grest , David R. Heine , Edmund B. Webb

A lattice model for active matter is studied numerically, showing that it displays wettings transitions between three distinctive phases when in contact with an impenetrable wall. The particles in the model move persistently, tumbling with…

Soft Condensed Matter · Physics 2017-09-13 Néstor Sepúlveda , Rodrigo Soto

A phase-field model that allows for quantitative simulations of low-speed eutectic and peritectic solidification under typical experimental conditions is developed. Its cornerstone is a smooth free-energy functional, designed so that the…

Materials Science · Physics 2009-11-11 R. Folch , M. Plapp

This paper investigates a variational approach to viscous flows with contact line dynamics based on energy-dissipation modeling. The corresponding model is reduced to a thin-film equation and its variational structure is also constructed…

Fluid Dynamics · Physics 2018-11-21 Dirk Peschka
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