Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/505
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dc.contributor.authorTuck, E.-
dc.contributor.authorStokes, Y.-
dc.contributor.authorSchwartz, L.-
dc.date.issued1997-
dc.identifier.citationJournal of Engineering Mathematics, 1997; 32(1):27-40-
dc.identifier.issn0022-0833-
dc.identifier.urihttp://hdl.handle.net/2440/505-
dc.description.abstractA layer of very viscous liquid (e.g. tar, molten glass) spans a chasm between two vertical walls. The slow fall or slump of this initially-rectangular liquid bridge is analysed. A semi-analytical solution is obtained for the initial motion, for arbitrary thickness/width ratios. The formal limits of large and small thickness/width ratios are also investigated. For example, the centre section of a thin bridge of liquid of density ρ and viscosity μ, with width 2w and thickness 2h ≪ 2w falls under gravity g at an initial velocity ρgw4/(32μh2). A finite element technique is then employed to determine the slumping motion at later times, confirming in passing the semi-analytical prediction of the initial slumping velocity.-
dc.language.isoen-
dc.publisherKLUWER ACADEMIC PUBL-
dc.titleSlow Slumping of a Very Viscous Liquid Bridge-
dc.typeJournal article-
dc.identifier.doi10.1023/A:1004200926153-
pubs.publication-statusPublished-
dc.identifier.orcidStokes, Y. [0000-0003-0027-6077]-
Appears in Collections:Applied Mathematics publications
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