Sharp-interface limits of a phase-field model with a generalized Navier slip boundary condition for moving contact lines

X Xu, Y Di, H Yu - Journal of Fluid Mechanics, 2018 - cambridge.org
The sharp-interface limits of a phase-field model with a generalized Navier slip boundary
condition for binary fluids with moving contact lines are studied by asymptotic analysis and …

Lattice-Boltzmann simulations of droplet evaporation

R Ledesma-Aguilar, D Vella, JM Yeomans - Soft Matter, 2014 - pubs.rsc.org
We study the utility and validity of lattice-Boltzmann (LB) simulations to explore droplet
evaporation driven by a concentration gradient. Using a binary-fluid lattice-Boltzmann …

Numerical and theoretical modeling of droplet impact on spherical surfaces

HN Dalgamoni, X Yong - Physics of Fluids, 2021 - pubs.aip.org
Droplet impact on solid surfaces is a fluid phenomenon widely involved in additive
manufacturing, heat management, and coating, in which the ability to exert control over the …

Forced wetting and hydrodynamic assist

TD Blake, JC Fernandez-Toledano, G Doyen… - Physics of …, 2015 - pubs.aip.org
Wetting is a prerequisite for coating a uniform layer of liquid onto a solid. Wetting failure and
air entrainment set the ultimate limit to coating speed. It is well known in the coating art that …

A comparison of slip, disjoining pressure, and interface formation models for contact line motion through asymptotic analysis of thin two-dimensional droplet spreading

DN Sibley, A Nold, N Savva, S Kalliadasis - Journal of Engineering …, 2015 - Springer
The motion of a contact line is examined, and comparisons drawn, for a variety of models
proposed in the literature. Pressure and stress behaviours at the contact line are examined …

Fluid–structure interaction involving dynamic wetting: 2D modeling and simulations

HR Liu, P Gao, H Ding - Journal of Computational Physics, 2017 - Elsevier
In this paper, we propose a hybrid model to compute the capillary force acting on moving
solid objects, and combine it with the diffuse-interface immersed-boundary method in Liu …

Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation

R Bailo, JA Carrillo, S Kalliadasis, SP Perez - arXiv preprint arXiv …, 2021 - arxiv.org
We propose finite-volume schemes for the Cahn-Hilliard equation which unconditionally and
discretely preserve the boundedness of the phase field and the dissipation of the free …

Hydrodynamic density-functional theory for the moving contact-line problem reveals fluid structure and emergence of a spatially distinct pattern

A Nold, BD Goddard, DN Sibley, S Kalliadasis - Physical Review Fluids, 2024 - APS
Understanding the nanoscale effects controlling the dynamics of a contact line—defined as
the line formed at the junction of two fluid phases and a solid—has been a longstanding …

A relaxation model for the non-isothermal Navier-Stokes-Korteweg equations in confined domains

J Keim, CD Munz, C Rohde - Journal of Computational Physics, 2023 - Elsevier
Abstract The Navier-Stokes-Korteweg (NSK) system is a classical diffuse interface model
which is based on van der Waals' theory of capillarity. Diffuse interface methods have …

The asymptotics of the moving contact line: cracking an old nut

DN Sibley, A Nold, S Kalliadasis - Journal of Fluid Mechanics, 2015 - cambridge.org
For contact line motion where the full Stokes flow equations hold, full matched asymptotic
solutions using slip models have been obtained for droplet spreading and more general …