Moffatt vortices induced by the motion of a contact line

Kyrkinis, L. & Davis, S.H. (2014) Moffatt vortices induced by the motion of a contact line. Journal of Fluid Mechanics, 746, R3-1---8.

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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→O 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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ID Code: 88840
Item Type: Journal Article
Refereed: Yes
Keywords: capillary flows, contact lines, thin films
DOI: 10.1017/jfm.2014.162
ISSN: 0022-1120
Divisions: Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 22 Oct 2015 04:43
Last Modified: 22 Oct 2015 04:43

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