Moffatt vortices induced by the motion of a contact line

E. Kirkinis; S. H. Davis

doi:10.1017/jfm.2014.162

Moffatt vortices induced by the motion of a contact line

E. Kirkinis^*, S. H. Davis

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

A recent hydrodynamic theory of liquid slippage on a solid substrate (Kirkinis & Davis, Phys. Rev. Lett., vol. 110, 2013, 234503) gives rise to a sequence of eddies (Moffatt vortices) that co-move with a moving contact line (CL) in a liquid wedge. The presence of these vortices is established through secular equations that depend on the dynamic contact angle α and capillary number Ca. The limiting case α → 0 is associated with the appearance of such vortices in a channel. The vortices are generated by the relative motion of the interfaces, which in turn is due to the motion of the CL. This effect has yet to be observed in experiment.

Original language	English (US)
Article number	R3
Journal	Journal of fluid Mechanics
Volume	746
Issue number	4
DOIs	https://doi.org/10.1017/jfm.2014.162
State	Published - Apr 4 2014

Keywords

capillary flows
contact lines
thin films

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1017/jfm.2014.162

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AB - A recent hydrodynamic theory of liquid slippage on a solid substrate (Kirkinis & Davis, Phys. Rev. Lett., vol. 110, 2013, 234503) gives rise to a sequence of eddies (Moffatt vortices) that co-move with a moving contact line (CL) in a liquid wedge. The presence of these vortices is established through secular equations that depend on the dynamic contact angle α and capillary number Ca. The limiting case α → 0 is associated with the appearance of such vortices in a channel. The vortices are generated by the relative motion of the interfaces, which in turn is due to the motion of the CL. This effect has yet to be observed in experiment.

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KW - thin films

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Moffatt vortices induced by the motion of a contact line

Abstract

Keywords

ASJC Scopus subject areas

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