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 as the contact line is approached shows that the relaxation of the classical model of a sharp liquid-gas interface, whilst retaining the no-slip condition, resolves the stress, and pressure singularities associated with the moving contact line problem while the fluid velocity is well defined (not multi-valued). The moving contact line behaviour is analysed for a general problem relevant for any density dependent dynamic viscosity and volume viscosity, and for general microscopic contact angle and double well free-energy forms. Away from the contact line, analysis of the diffuse-interface model shows that the Navier–Stokes equations and classical interfacial boundary conditions are obtained at leading order in the sharp-interface limit, justifying the creeping flow problem imposed in an intermediate region in the seminal work of Seppecher [Int. J. Eng. Sci. 34, 977–992 (1996)]. Corrections to Seppecher's work are given, as an incorrect solution form was originally used.
Skip Nav Destination
,
,
,
Article navigation
September 2013
Research Article|
September 27 2013
The contact line behaviour of solid-liquid-gas diffuse-interface models Available to Purchase
David N. Sibley;
David N. Sibley
a)
1Department of Chemical Engineering,
Imperial College London
, London SW7 2AZ, United Kingdom
Search for other works by this author on:
Andreas Nold;
Andreas Nold
1Department of Chemical Engineering,
Imperial College London
, London SW7 2AZ, United Kingdom
Search for other works by this author on:
Nikos Savva;
Nikos Savva
1Department of Chemical Engineering,
Imperial College London
, London SW7 2AZ, United Kingdom
2School of Mathematics,
Cardiff University
, Cardiff CF24 4AG, United Kingdom
Search for other works by this author on:
Serafim Kalliadasis
Serafim Kalliadasis
b)
1Department of Chemical Engineering,
Imperial College London
, London SW7 2AZ, United Kingdom
Search for other works by this author on:
David N. Sibley
1,a)
Andreas Nold
1
Nikos Savva
1,2
Serafim Kalliadasis
1,b)
1Department of Chemical Engineering,
Imperial College London
, London SW7 2AZ, United Kingdom
2School of Mathematics,
Cardiff University
, Cardiff CF24 4AG, United Kingdom
a)
Electronic mail: [email protected]
b)
Electronic mail: [email protected]
Physics of Fluids 25, 092111 (2013)
Article history
Received:
February 14 2013
Accepted:
August 19 2013
Citation
David N. Sibley, Andreas Nold, Nikos Savva, Serafim Kalliadasis; The contact line behaviour of solid-liquid-gas diffuse-interface models. Physics of Fluids 1 September 2013; 25 (9): 092111. https://doi.org/10.1063/1.4821288
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Citing articles via
Phase behavior of Cacio e Pepe sauce
G. Bartolucci, D. M. Busiello, et al.
Direct numerical simulations of immiscible two-phase flow in rough fractures: Impact of wetting film resolution
R. Krishna, Y. Méheust, et al.
Chinese Academy of Science Journal Ranking System (2015–2023)
Cruz Y. Li (李雨桐), 李雨桐, et al.
Related Content
Slip or not slip? A methodical examination of the interface formation model using two-dimensional droplet spreading on a horizontal planar substrate as a prototype system
Physics of Fluids (August 2012)
Transient growth in Rayleigh-Bénard-Poiseuille/Couette convection
Physics of Fluids (April 2012)
Comparison of Navier-Stokes simulations with long-wave theory: Study of wetting and dewetting
Physics of Fluids (November 2013)
Inertial effects at moderate Reynolds number in thin-film rimming flows driven by surface shear
Physics of Fluids (October 2013)
On the control and suppression of the Rayleigh-Taylor instability using electric fields
Physics of Fluids (February 2014)