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Capillary retraction of the edge of a stretched viscous sheet

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Munro, JP 
Lister, JR 

Abstract

jats:pSurface tension causes the edge of a fluid sheet to retract. If the sheet is also stretched along its edge then the flow and the rate of retraction are modified. A universal similarity solution for the Stokes flow in a stretched edge shows that the scaled shape of the edge is independent of the stretching rate, and that it decays exponentially to its far-field thickness. This solution justifies the use of a stress boundary condition in long-wavelength models of stretched viscous sheets, and gives the detailed shape of the edge of such a sheet, resolving the position of the sheet edge to the order of the thickness.</jats:p>

Description

Keywords

capillary flows, interfacial flows (free surface), low-Reynolds-number flows

Journal Title

Journal of Fluid Mechanics

Conference Name

Journal ISSN

0022-1120
1469-7645

Volume Title

Publisher

Cambridge University Press (CUP)
Sponsorship
EPSRC (1480471)