Capillary retraction of the edge of a stretched viscous sheet. (3rd April 2018)

• Record Type: Journal Article
• Authors: Munro, James P.; Lister, John R.
• Is Part Of: Journal of fluid mechanics. Volume 844(2018)
• Publication Date: 2018-04-03
• Subjects: capillary flows, -- interfacial flows (free surface), -- low-Reynolds-number flows; Fluid mechanics -- Periodicals; 532.005
• DOI: 10.1017/jfm.2018.252
• Languages: English
• ISSNs: 0022-1120

Abstract

Abstract : Surface 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.