https://doi.org/10.1140/epje/i2013-13026-y
Regular Article
On the moving contact line singularity: Asymptotics of a diffuse-interface model
126
Department of Chemical Engineering, Imperial College London, SW7 2AZ, London, UK
226
School of Mathematics, Cardiff University, Senghennydd Road, CF24 4AG, Cardiff, UK
* e-mail: S.Kalliadasis@imperial.ac.uk
Received:
4
October
2012
Revised:
6
February
2013
Accepted:
20
February
2013
Published online:
22
March
2013
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 of the model are scrutinised, alongside extensions to incorporate slip, finite-time relaxation of the chemical potential, or a precursor film at the wall.
Key words: Flowing Matter: Interfacial phenomena
© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2013
