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 ISSN 0022-1120.

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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, Engineering and Medicine > 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:	Date Event June 2016 Published 15 May 2016 Available 14 April 2016 Accepted 4 September 2016 Submitted
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 (Creative Commons)
Date of first compliant deposit:	14 April 2016
Date of first compliant Open Access:	23 May 2016
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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