Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities

H Abels, H Garcke, G Grün - Mathematical Models and Methods in …, 2012 - World Scientific
A new diffuse interface model for a two-phase flow of two incompressible fluids with different
densities is introduced using methods from rational continuum mechanics. The model fulfills …

A thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects

Z Guo, P Lin - Journal of Fluid Mechanics, 2015 - cambridge.org
In this paper, we develop a phase-field model for binary incompressible (quasi-
incompressible) fluid with thermocapillary effects, which allows for the different properties …

Electrowetting with contact line pinning: Computational modeling and comparisons with experiments

SW Walker, B Shapiro, RH Nochetto - Physics of Fluids, 2009 - pubs.aip.org
This work describes the modeling and simulation of planar electrowetting on dielectric
devices that move fluid droplets by modulating surface tension effects. The fluid dynamics …

[หนังสือ][B] Interfaces: modeling, analysis, numerics

E Bänsch, K Deckelnick, H Garcke, P Pozzi - 2023 - Springer
These lecture notes are dedicated to the mathematical modeling, analysis, and computation
of interfaces and free boundary problems appearing in geometry and in various …

Two‐phase flows in karstic geometry

D Han, D Sun, X Wang - Mathematical Methods in the Applied …, 2014 - Wiley Online Library
Multiphase flow phenomena are ubiquitous. Common examples include coupled
atmosphere and ocean system (air and water), oil reservoir (water, oil, and gas), and cloud …

On fully decoupled, convergent schemes for diffuse interface models for two-phase flow with general mass densities

G Grün, F Guillén-González, S Metzger - … in Computational Physics, 2016 - cambridge.org
In the first part, we study the convergence of discrete solutions to splitting schemes for two-
phase flow with different mass densities suggested in [Guillen-Gonzalez, Tierra, J. Comput …

A diffuse interface model for electrowetting with moving contact lines

RH Nochetto, AJ Salgado, SW Walker - Mathematical Models and …, 2014 - World Scientific
We introduce a diffuse interface model for the phenomenon of electrowetting on dielectric
and present an analysis of the arising system of equations. Moreover, we study …

Quantitative comparison of Taylor flow simulations based on sharp‐interface and diffuse‐interface models

S Aland, S Boden, A Hahn, F Klingbeil… - … Methods in Fluids, 2013 - Wiley Online Library
SUMMARY A pressure‐driven flow of elongated bullet‐shaped bubbles in a narrow channel
is known as Taylor flow or bubble‐train flow. This process is of relevance in various …

[HTML][HTML] Non-linear electrohydrodynamics in microfluidic devices

J Zeng - International journal of molecular sciences, 2011 - mdpi.com
Since the inception of microfluidics, the electric force has been exploited as one of the
leading mechanisms for driving and controlling the movement of the operating fluid and the …

Phase field modeling and numerical algorithm for two-phase dielectric fluid flows

J Yang, IC Christov, S Dong - Journal of Computational Physics, 2024 - Elsevier
We develop a method for modeling and simulating a class of two-phase flows consisting of
two immiscible incompressible dielectric fluids and their interactions with imposed external …