Effect of upstream boundary conditions on stability of fiber spinning in the highly elastic limit

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dc.contributorVirginia Techen
dc.contributor.authorRenardy, Michael J.en
dc.contributor.departmentMathematicsen
dc.date.accessed2014-03-11en
dc.date.accessioned2014-03-26T17:35:14Zen
dc.date.available2014-03-26T17:35:14Zen
dc.date.issued2002-07en
dc.description.abstractWe consider fiber spinning for the upper-convected Maxwell fluid in the limit of a high Deborah number. We compare several choices of boundary conditions that may be imposed. In addition to the takeup speed and the upstream flow rate, we consider four different boundary conditions: the upstream velocity, upstream elastic stress, the force in the fiber, and the ratio of stress to the square of the velocity (the latter can be motivated by a limit of vanishing retardation time). We find that the effect of the boundary condition on stability is crucial; in one case we even find an instability even though the draw ratio is 1.en
dc.description.sponsorshipNSF DMS-0103813en
dc.identifier.citationJ. Rheol. 46, 1023 (2002); http://dx.doi.org/10.1122/1.1487369en
dc.identifier.doihttps://doi.org/10.1122/1.1487369en
dc.identifier.issn0148-6055en
dc.identifier.urihttp://hdl.handle.net/10919/46794en
dc.identifier.urlhttp://scitation.aip.org/content/sor/journal/jor2/46/4/10.1122/1.1487369en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleEffect of upstream boundary conditions on stability of fiber spinning in the highly elastic limiten
dc.title.serialJournal of Rheologyen
dc.typeArticle - Refereeden

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