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The generation of a draining liquid film by the vertical withdrawal of a flat plate from an elastico-viscous liquid
Affiliation:1. Research Unit of Obstetrics and Gynecology, Department of Clinical Research, University of Southern Denmark, Kløvervænget 10, 10th floor, 5000 Odense C, Denmark;2. Odense Patient Data Explorative Network (OPEN), Department of Clinical Research, University of Southern Denmark and Odense University Hospital, J.B. Winsløws Vej 9a 3rd floor, 5000 Odense C, Denmark;3. Department of Public Health, Biostatistics, Aarhus University, Bartholins Alle 2, 8000 Aarhus C, Denmark;4. Division of Nutritional Sciences, Cornell University, 111 Savage Hall Ithaca, NY 14853, USA;5. Division of Research, Cardiovascular and Metabolic Conditions Section, Kaiser Permanente Northern California, 2000 Broadway, Oakland, CA 94612, USA;6. Department of Cardiology, Copenhagen University Hospital, Rigshospitalet, Blegdamsvej 9, 2100 Copenhagen, Denmark;7. Novo Nordisk Foundation Center for Basic Metabolic Research, Department of Public Health, Faculty of Health and Medical Sciences, University of Copenhagen, Blegdamsvej 3B, 2200 Copenhagen, Denmark;8. Department of Gynecology and Obstetrics, Odense University Hospital, Sdr. Boulevard 55, 5000 Odense C, Denmark;1. School of Resources and Safety Engineering, Central South University, Changsha, Hunan, China;2. Department of Earth Science and Engineering, Royal School of Mines, Imperial College, London, United Kingdom
Abstract:The analysis of Waters and Keeley [1] for the start-up of the drainage of an elastico-viscous liquid from a vertical surface is extended to include the effect of the vertical surface moving vertically with an arbitrary velocity. This is used to examine the effect of elasticity on the interesting drainage problems associated with the sudden withdrawal of a vertical plate from an elastico-viscous liquid.
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