Capillary retraction of the edge of a stretched viscous sheet
| cam.issuedOnline | 2018-04-03 | |
| dc.contributor.author | Munro, JP | |
| dc.contributor.author | Lister, JR | |
| dc.contributor.orcid | Munro, James [0000-0003-2972-1314] | |
| dc.date.accessioned | 2018-06-06T12:13:48Z | |
| dc.date.available | 2018-06-06T12:13:48Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | <jats:p>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.</jats:p> | |
| dc.identifier.doi | 10.17863/CAM.23961 | |
| dc.identifier.eissn | 1469-7645 | |
| dc.identifier.issn | 0022-1120 | |
| dc.identifier.uri | https://www.repository.cam.ac.uk/handle/1810/276664 | |
| dc.language.iso | eng | |
| dc.publisher | Cambridge University Press (CUP) | |
| dc.publisher.url | http://dx.doi.org/10.1017/jfm.2018.252 | |
| dc.subject | capillary flows | |
| dc.subject | interfacial flows (free surface) | |
| dc.subject | low-Reynolds-number flows | |
| dc.title | Capillary retraction of the edge of a stretched viscous sheet | |
| dc.type | Article | |
| dcterms.dateAccepted | 2018-03-17 | |
| prism.publicationDate | 2018 | |
| prism.publicationName | Journal of Fluid Mechanics | |
| pubs.funder-project-id | EPSRC (1480471) | |
| rioxxterms.licenseref.startdate | 2018-04-03 | |
| rioxxterms.licenseref.uri | http://www.rioxx.net/licenses/all-rights-reserved | |
| rioxxterms.type | Journal Article/Review | |
| rioxxterms.version | AM | |
| rioxxterms.versionofrecord | 10.1017/jfm.2018.252 |
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