Capillary breakup of a liquid bridge: identifying regimes and transitions
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 esta...
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Veröffentlicht in: | Journal of fluid mechanics 2016-06, Vol.797, p.29-59 |
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description | 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. |
doi_str_mv | 10.1017/jfm.2016.276 |
format | Article |
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$Oh$
. 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.</description><identifier>ISSN: 0022-1120</identifier><identifier>EISSN: 1469-7645</identifier><identifier>DOI: 10.1017/jfm.2016.276</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>Fluid mechanics ; Inertia ; Viscosity</subject><ispartof>Journal of fluid mechanics, 2016-06, Vol.797, p.29-59</ispartof><rights>2016 Cambridge University Press</rights><rights>2016 Cambridge University Press This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c340t-c85fa813dc7f12a3a602536eee7cd63ee4fb3cba076911e1c6e108f5a4030a4a3</citedby><cites>FETCH-LOGICAL-c340t-c85fa813dc7f12a3a602536eee7cd63ee4fb3cba076911e1c6e108f5a4030a4a3</cites><orcidid>0000-0002-4169-6468</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.cambridge.org/core/product/identifier/S0022112016002767/type/journal_article$$EHTML$$P50$$Gcambridge$$Hfree_for_read</linktohtml><link.rule.ids>164,314,780,784,27924,27925,55628</link.rule.ids></links><search><creatorcontrib>Li, Yuan</creatorcontrib><creatorcontrib>Sprittles, James E.</creatorcontrib><title>Capillary breakup of a liquid bridge: identifying regimes and transitions</title><title>Journal of fluid mechanics</title><addtitle>J. Fluid Mech</addtitle><description>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.</description><subject>Fluid mechanics</subject><subject>Inertia</subject><subject>Viscosity</subject><issn>0022-1120</issn><issn>1469-7645</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>IKXGN</sourceid><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNptkD1PwzAQhi0EEqWw8QMssZJwFzt2yoYqPipVYoHZcpNz5ZKv2snQf0-qdmBgOun03Ht6H8buEVIE1E8716QZoEozrS7YDKVaJFrJ_JLNALIsQczgmt3EuANAAQs9Y6ul7X1d23Dgm0D2Z-x557jltd-Pvpp2vtrSM_cVtYN3B99ueaCtbyhy21Z8CLaNfvBdG2_ZlbN1pLvznLPvt9ev5Uey_nxfLV_WSSkkDElZ5M4WKKpSO8yssAqyXCgi0mWlBJF0G1FuLGi1QCQsFSEULrcSBFhpxZw9nHL70O1HioPZdWNop5cGi0IKkWvUE_V4osrQxRjImT74ZqppEMxRlplkmaMsM8ma8PSM2-bU-U_qfwe_BapsQQ</recordid><startdate>20160625</startdate><enddate>20160625</enddate><creator>Li, Yuan</creator><creator>Sprittles, James E.</creator><general>Cambridge University Press</general><scope>IKXGN</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7TB</scope><scope>7U5</scope><scope>7UA</scope><scope>7XB</scope><scope>88I</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>C1K</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>F1W</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>H8D</scope><scope>H96</scope><scope>HCIFZ</scope><scope>KR7</scope><scope>L.G</scope><scope>L6V</scope><scope>L7M</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>S0W</scope><orcidid>https://orcid.org/0000-0002-4169-6468</orcidid></search><sort><creationdate>20160625</creationdate><title>Capillary breakup of a liquid bridge: identifying regimes and transitions</title><author>Li, Yuan ; 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Fluid Mech</addtitle><date>2016-06-25</date><risdate>2016</risdate><volume>797</volume><spage>29</spage><epage>59</epage><pages>29-59</pages><issn>0022-1120</issn><eissn>1469-7645</eissn><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.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/jfm.2016.276</doi><tpages>31</tpages><orcidid>https://orcid.org/0000-0002-4169-6468</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | Fluid mechanics Inertia Viscosity |
title | Capillary breakup of a liquid bridge: identifying regimes and transitions |
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