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dc.contributorVirginia Tech
dc.contributor.authorTanveer, S.
dc.date.accessioned2014-04-24T18:34:20Z
dc.date.available2014-04-24T18:34:20Z
dc.date.issued1986-11
dc.identifier.citationTanveer, S., "the effect of surface tension on the shape of a Hele-Shaw cell bubble," Phys. Fluids 29, 3537 (1986); http://dx.doi.org/10.1063/1.865831
dc.identifier.issn1070-6631
dc.identifier.urihttp://hdl.handle.net/10919/47664
dc.description.abstractNumerical and asymptotic solutions are found for the steady motion of a symmetrical bubble through a parallel‐sided channel in a Hele–Shaw cell containing a viscous liquid. The degeneracy of the Taylor–Saffman zero surface‐tension solution is shown to be removed by the effect of surface tension. An apparent contradiction between numerics and perturbation arises here as it does for the finger. This contradiction is resolved analytically for small bubbles and is shown to be the result of exponentially small terms. Numerical results suggest that this is true for bubbles of arbitrary size. The limit of infinite surface tension is also analyzed.
dc.description.sponsorshipDept of Energy, Office of Basic Energy Sciences Grants DEA805-80ER-10711, DEAT03-76ER-72012
dc.description.sponsorshipExxon Education Foundation
dc.language.isoen_US
dc.publisherAIP Publishing
dc.titlethe effect of surface tension on the shape of a Hele-Shaw cell bubble
dc.typeArticle
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/pof1/29/11/10.1063/1.865831
dc.date.accessed2014-04-04
dc.title.serialPhysics of Fluids
dc.identifier.doihttps://doi.org/10.1063/1.865831


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