On the moving contact line singularity: Asymptotics of a diffuse-interface model
@article{Sibley2012OnTM, title={On the moving contact line singularity: Asymptotics of a diffuse-interface model}, author={David N. Sibley and Andreas Nold and Nikos Savva and Serafim Kalliadasis}, journal={The European Physical Journal E}, year={2012}, volume={36}, pages={1-7} }
The behaviour of a solid-liquid-gas system near the three-phase contact line is considered using a diffuse-interface model with no-slip at the solid and where the fluid phase is specified by a continuous density field. Relaxation of the classical approach of a sharp liquid-gas interface and careful examination of the asymptotic behaviour as the contact line is approached is shown to resolve the stress and pressure singularities associated with the moving contact line problem. Various features…
48 Citations
The contact line behaviour of solid-liquid-gas diffuse-interface models
- Engineering
- 2013
A solid-liquid-gas moving contact line is considered through a diffuse-interface model with the classical boundary condition of no-slip at the solid surface. Examination of the asymptotic behaviour…
Asymptotic reductions of the diffuse-interface model with applications to contact lines in fluids
- Physics
- 2019
The diffuse-interface model (DIM) is a tool for studying interfacial dynamics. In particular, it is used for modeling contact lines, i.e., curves where a liquid, gas, and solid are in simultaneous…
A comparison of slip, disjoining pressure, and interface formation models for contact line motion through asymptotic analysis of thin two-dimensional droplet spreading
- Engineering
- 2015
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 in the prototype…
A comparison of slip, disjoining pressure, and interface formation models for contact line motion through asymptotic analysis of thin two-dimensional droplet spreading
- EngineeringJournal of Engineering Mathematics
- 2014
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 in the prototype…
The asymptotics of the moving contact line: cracking an old nut
- MathematicsJournal of Fluid Mechanics
- 2015
Abstract 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 geometries.…
Sharp-interface limits of a phase-field model with a generalized Navier slip boundary condition for moving contact lines
- Mathematics, PhysicsJournal of Fluid Mechanics
- 2018
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 numerical…
Fluid-structure interaction involving dynamic wetting: 2D modeling and simulations
- EngineeringJ. Comput. Phys.
- 2017
Contact Line Dynamics on Heterogeneous Substrates
- Engineering
- 2014
Fluid interfaces in contact with solid substrates play an important role in fields ranging from microfluidics, over oil recovery and inkjet printing to coating processes. Effective models for the…
In)compressibility and parameter identification in phase field models for capillary flows
- Physics
- 2017
Phase field (diffuse interface) models accommodate diffusive triple line motion with variable contact angle, thus allowing for the no-slip boundary condition without the stress singularities. We…
Droplet dynamics on chemically heterogeneous substrates
- MathematicsJournal of Fluid Mechanics
- 2018
Slow droplet motion on chemically heterogeneous substrates is considered analytically and numerically. We adopt the long-wave approximation which yields a single partial differential equation for the…
References
SHOWING 1-10 OF 50 REFERENCES
Lattice Boltzmann simulations of contact line motion. I. Liquid-gas systems.
- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2004
This work investigates the applicability of a mesoscale modeling approach, lattice Boltzmann simulations, to the problem of contact line motion in one and two component, two phase fluids and shows that the contact line singularity is overcome by evaporation or condensation near the contact lines.
Contact line motion in confined liquid-gas systems: Slip versus phase transition.
- PhysicsThe Journal of chemical physics
- 2010
The diffuse-interface modeling of contact line motion in one-component liquid-gas systems is applied, showing that the contact line can move through both phase transition and slip, with their relative contributions determined by a competition between the two coexisting mechanisms in terms of entropy production.
Singularities at the moving contact line. Mathematical, physical and computational aspects
- Physics
- 2006
Numerical simulation of moving contact line problems using a volume-of-fluid method
- Engineering
- 2001
Abstract Moving contact lines are implemented in a volume-of-fluid scheme with piecewise linear interface construction. Interfacial tension is treated as a continuous body force, computed from…
Disjoining potential and spreading of thin liquid layers in the diffuse-interface model coupled to hydrodynamics
- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 2000
It is shown that evaporation or condensation may strongly affect the dynamics near the contact line, and that it is necessary to account for kinetic retardation of the interphase transport to build up a consistent theory.
A variational approach to moving contact line hydrodynamics
- PhysicsJournal of Fluid Mechanics
- 2006
In immiscible two-phase flows, the contact line denotes the intersection of the fluid–fluid interface with the solid wall. When one fluid displaces the other, the contact line moves along the wall. A…
On the motion of a fluid-fluid interface along a solid surface
- PhysicsJournal of Fluid Mechanics
- 1974
A fluid-fluid interface that joins a solid surface forms a common line. If the common line moves along the solid, a mutual displacement process is involved and is studied here. Some simple…