## Cox-Voinov theory with slip

Research output: Contribution to journalArticle

• Tak Chan
• Catherine E M Kamal
• Jacco H Snoeijer
• James Sprittles
• Jens G Eggers
Original language English Journal of Fluid Mechanics Published - 2020

### Abstract

Most of our understanding of moving contact lines relies on the
limit of small capillary numbers. This means the contact line speed
is small compared to the capillary speed $\gamma/\eta$, where
$\gamma$ is the surface tension and $\eta$ the viscosity, so that
the interface is only weakly curved. The majority of recent analytical
work has assumed in addition that the angle between the free surface
and the substrate is also small, so that lubrication theory can be
used. Here, we calculate the shape of the interface near a slip
surface for arbitrary angles, and for two phases of arbitrary viscosities, thereby removing a key restriction in being able to apply small capillary number theory.