Capillary retraction of the edge of a stretched viscous sheet
Authors
Munro, JP
Lister, JR
Change log
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>
Publication Date
2018
Online Publication Date
2018-04-03
Acceptance Date
2018-03-17
Keywords
capillary flows, interfacial flows (free surface), low-Reynolds-number flows
Journal Title
Journal of Fluid Mechanics
Journal ISSN
0022-1120
1469-7645
1469-7645
Volume Title
Publisher
Cambridge University Press (CUP)
Sponsorship
EPSRC (1480471)