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Time-dependent motion of a confined bubble in a tube: transition between two steady states
Princeton Univ, Dept Mech & Aerosp Engn, Princeton, NJ 08544 USA..
KTH, School of Engineering Sciences (SCI), Mechanics. Princeton Univ, Dept Mech & Aerosp Engn, Princeton, NJ 08544 USA.;KTH Mech, Linne Flow Ctr, SE-10044 Stockholm, Sweden.;KTH Mech, Swedish E Sci Res Ctr SeRC, SE-10044 Stockholm, Sweden..
Princeton Univ, Dept Mech & Aerosp Engn, Princeton, NJ 08544 USA..
Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England..
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2018 (English)In: Journal of Fluid Mechanics, ISSN 0022-1120, E-ISSN 1469-7645, Vol. 857, article id R4Article in journal (Refereed) Published
Abstract [en]

When a confined bubble translates steadily in a cylindrical capillary tube, without the consideration of gravity effects, a uniform thin film of liquid separates the bubble surface and the tube wall. In this work, we investigate how this steady state is established by considering the transitional motion of the bubble as it adjusts its film thickness profile between two steady states, characterized by two different bubble speeds. During the transition, two uniform film regions coexist, separated by a step-like transitional region. The transitional motion also requires modification of the film solution near the rear of the bubble, which depends on the ratio of the two capillary numbers. These theoretical results are verified by experiments and numerical simulations.

Place, publisher, year, edition, pages
Cambridge University Press, 2018. Vol. 857, article id R4
Keywords [en]
bubble dynamics, lubrication theory, thin films
National Category
Chemical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-239089DOI: 10.1017/jfm.2018.835ISI: 000448522900001Scopus ID: 2-s2.0-85055848357OAI: oai:DiVA.org:kth-239089DiVA, id: diva2:1264890
Note

QC 20181121

Available from: 2018-11-21 Created: 2018-11-21 Last updated: 2018-11-21Bibliographically approved

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Zhu, Lailai

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