On the cusps bordering liquid sheets. (30th July 2014)

• Record Type: Journal Article
• Authors: Gordillo, J. M.; Lhuissier, H.; Villermaux, E.
• Is Part Of: Journal of fluid mechanics. Volume 754(2014:Sep.)
• Publication Date: 2014-07-30
• Subjects: capillary flows, -- interfacial flows (free surface), -- thin films; Fluid mechanics -- Periodicals; 532.005
• DOI: 10.1017/jfm.2014.397
• Languages: English
• ISSNs: 0022-1120

Abstract

Abstract: The edge of a stationary radially expanding liquid sheet and the receding rim bordering a plane sheet are naturally indented. It presents a collection of cusps at the extremity of which the liquid concentrates and is expelled. An experimental description of these cusps for a stationary flat inviscid Savart sheet is given. We identify the stable node–jet structure responsible for the deflection of the incoming flow at the rim and demonstrate how these cusps are the structures that accommodate for both mass and momentum conservation at the sheet edge. Their shape, their number around the sheet, and the residual momentum carried by the ejected liquid are computed.