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Capillary breakup of a liquid bridge : identifying regimes and transitions

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Yuan, Li and Sprittles, James E. (2016) Capillary breakup of a liquid bridge : identifying regimes and transitions. Journal of Fluid Mechanics, 797 . pp. 29-59. doi:10.1017/jfm.2016.276

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Official URL: http://dx.doi.org/10.1017/jfm.2016.276

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Abstract

Computations of the breakup of a liquid bridge are used to establish the limits of applicability of similarity solutions derived for different breakup regimes. These regimes are based on particular viscous-inertial balances, that is different limits of the Ohnesorge number Oh. To accurately establish the transitions between regimes, the minimum bridge radius is resolved through four orders of magnitude using a purpose-built multiscale finite element method. This allows us to construct a quantitative phase diagram for the breakup phenomenon which includes the appearance of a recently discovered low-Oh viscous regime. The method used to quantify the accuracy of the similarity solutions allows us to identify a number of previously unobserved features of the breakup, most notably an oscillatory convergence towards the viscous-inertial similarity solution. Finally, we discuss how the new findings open up a number of challenges for both theoretical and experimental analysis.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Fluid mechanics -- Mathematical models, Microfluidics -- Technological innovations , Drops, Liquids
Journal or Publication Title: Journal of Fluid Mechanics
Publisher: Cambridge University Press
ISSN: 0022-1120
Official Date: June 2016
Dates:
DateEvent
June 2016Published
15 May 2016Available
14 April 2016Accepted
4 September 2016Submitted
Volume: 797
Page Range: pp. 29-59
DOI: 10.1017/jfm.2016.276
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access
Funder: John Fell Oxford University Press Research Fund, Engineering and Physical Sciences Research Council (EPSRC)
Grant number: EP/N016602/1 (EPSRC)

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