A level-set method for moving contact lines with contact angle hysteresis

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dc.contributor.authorZhang, Jiaqien
dc.contributor.authorYue, Pengtaoen
dc.date.accessioned2022-12-21T19:48:09Zen
dc.date.available2022-12-21T19:48:09Zen
dc.date.issued2020-10-01en
dc.date.updated2022-12-21T16:05:41Zen
dc.description.abstractWe develop a level-set method in the finite-element framework. The contact line singularity is removed by the slip boundary condition proposed by Ren and E (2007) [6], which has two friction coefficients: βN that controls the slip between the bulk fluids and the solid wall and βCL that controls the deviation of the microscopic dynamic contact angle from the static one. The predicted contact line dynamics from our method matches the Cox theory very well. We further find that the same slip length in the Cox theory can be reproduced by different combinations of (βN,βCL), based on which we come up with a computational strategy for mesh-independent results that can match the experiments. There is no need to impose the contact angle condition geometrically, and the dynamic contact angle automatically emerges as part of the numerical solution. With a little modification, our method can also be used to compute contact angle hysteresis, where the tendency of contact line motion is readily available from the level-set function. Different test cases, including code validation and mesh-convergence study, are provided to demonstrate the efficiency and capability of our method.en
dc.description.versionAccepted versionen
dc.format.extent22 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifierARTN 109636 (Article number)en
dc.identifier.doihttps://doi.org/10.1016/j.jcp.2020.109636en
dc.identifier.eissn1090-2716en
dc.identifier.issn0021-9991en
dc.identifier.orcidYue, Pengtao [0000-0001-8343-846X]en
dc.identifier.urihttp://hdl.handle.net/10919/112972en
dc.identifier.volume418en
dc.language.isoenen
dc.publisherAcademic Press/Elsevieren
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000561582700001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectContact angle hysteresisen
dc.subjectContact line pinningen
dc.subjectSlip lengthen
dc.subjectDrop spreadingen
dc.subjectGNBCen
dc.subjectContact line frictionen
dc.subjectFINITE-ELEMENT-METHODen
dc.subjectBOUNDARY-CONDITIONen
dc.subjectNUMERICAL SIMULATIONSen
dc.subjectMULTIPHASE FLOWSen
dc.subjectLIQUID-DROPSen
dc.subjectGAS BUBBLEen
dc.subjectINTERFACEen
dc.subjectDYNAMICSen
dc.subjectMODELen
dc.subjectSURFACEen
dc.titleA level-set method for moving contact lines with contact angle hysteresisen
dc.title.serialJournal of Computational Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
dc.type.otherArticleen
dc.type.otherJournalen
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pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Tech/Science/Mathematicsen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Science/COS T&R Facultyen

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