The phase field technique for modeling multiphase materials

I Singer-Loginova, HM Singer - Reports on progress in physics, 2008 - iopscience.iop.org
This paper reviews methods and applications of the phase field technique, one of the fastest
growing areas in computational materials science. The phase field method is used as a …

A phase-field model of two-phase Hele-Shaw flow

L Cueto-Felgueroso, R Juanes - Journal of fluid mechanics, 2014 - cambridge.org
We propose a continuum model of two-phase flow in a Hele-Shaw cell. The model describes
the multiphase three-dimensional flow in the cell gap using gap-averaged quantities such as …

Nonequilibrium thermodynamics of hydrate growth on a gas-liquid interface

X Fu, L Cueto-Felgueroso, R Juanes - Physical Review Letters, 2018 - APS
We develop a continuum-scale phase-field model to study gas-liquid-hydrate systems far
from thermodynamic equilibrium. We design a Gibbs free energy functional for methane …

Viscous fingering with partially miscible fluids

X Fu, L Cueto-Felgueroso, R Juanes - Physical Review Fluids, 2017 - APS
Viscous fingering—the fluid-mechanical instability that takes place when a low-viscosity fluid
displaces a high-viscosity fluid—has traditionally been studied under either fully miscible or …

Thermodynamic coarsening arrested by viscous fingering in partially miscible binary mixtures

X Fu, L Cueto-Felgueroso, R Juanes - Physical Review E, 2016 - APS
We study the evolution of binary mixtures far from equilibrium, and show that the interplay
between phase separation and hydrodynamic instability can arrest the Ostwald ripening …

[HTML][HTML] Simulation of Newtonian and non-Newtonian rheology behavior of viscous fingering in channels by the lattice Boltzmann method

Y Shi, GH Tang - Computers & Mathematics with Applications, 2014 - Elsevier
Viscous fingering phenomenon in channels is numerically investigated using the lattice
Boltzmann method. The effects of capillary number, viscosity ratio, wettability, gravitational …

Phase-field models in interfacial pattern formation out of equilibrium

R González-Cinca, R Folch, R Benitez… - arxiv preprint cond-mat …, 2003 - arxiv.org
The phase-field method is reviewed from the general perspective of converting a free
boundary problem into a set of coupled partial differential equations. Its main advantage is …

Enhanced imbibition from the cooperation between wetting and inertia via pulsatile forcing

J Flores Gerónimo, A Hernández-Machado… - Physics of …, 2019 - pubs.aip.org
We study the dynamics of microfluidic interfaces driven by pulsatile pressures in the
presence of neutral and hydrophilic walls. For this, we propose a new phase field model that …

Phase-field simulations of viscous fingering in shear-thinning fluids

S Nguyen, R Folch, VK Verma, H Henry, M Plapp - Physics of Fluids, 2010 - pubs.aip.org
A phase-field model for the Hele-Shaw flow of non-Newtonian fluids is developed. It extends
a previous model for Newtonian fluids to a wide range of fluids with a shear-dependent …

Intrinsic versus superrough anomalous scaling in spontaneous imbibition

M Pradas, A Hernández-Machado - … Review E—Statistical, Nonlinear, and Soft …, 2006 - APS
We study spontaneous imbibition using a phase field model in a two-dimensional system
with a dichotomic quenched noise. By imposing a constant pressure μ a< 0 at the origin, we …