Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/507
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dc.contributor.authorStokes, Y.-
dc.contributor.authorTuck, E.-
dc.date.issued2004-
dc.identifier.citationJournal of Fluid Mechanics, 2004; 498:205-225-
dc.identifier.issn0022-1120-
dc.identifier.issn1469-7645-
dc.identifier.urihttp://hdl.handle.net/2440/507-
dc.description.abstractIn flows of very viscous fluids, it is often justifiable to neglect inertia and solve the resulting creeping-flow or Stokes equations. For drops hanging beneath a fixed wall and extending under gravity from an initial rest state, an inevitable consequence of neglect of inertia and surface tension is that the drop formally becomes infinite in length at a finite crisis time, at which time the acceleration of the drop, which has been assumed small relative to gravity g, formally also becomes infinite. This is a physical impossibility, and the acceleration must in fact approach the (finite) free-fall value g. However, we verify here, by a full Navier–Stokes computation and also with a slender-drop approximation, that the crisis time is a good estimate of the time at which the bulk of the drop goes into free fall. We also show that the drop shape at the crisis time is a good approximation to the final shape of the freely falling drop, prior to smoothing by surface tension. Additionally, we verify that the drop has an initial acceleration of g, which quickly decreases as viscous forces in the drop become dominant during the early stages of fall.-
dc.description.statementofresponsibilityY. M. Stokes and E. O. Tuck-
dc.language.isoen-
dc.publisherCambridge Univ Press-
dc.rights© Cambridge University Press 2006-
dc.source.urihttp://www.journals.cambridge.org/action/displayAbstract?fromPage=online&aid=195285-
dc.titleThe role of inertia in extensional fall of a viscous drop-
dc.typeJournal article-
dc.identifier.doi10.1017/S0022112003006682-
pubs.publication-statusPublished-
dc.identifier.orcidStokes, Y. [0000-0003-0027-6077]-
Appears in Collections:Applied Mathematics publications
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