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The meniscus on the outside of a circular cylinder: From microscopic to macroscopic scales

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dc.contributor.authorTang, Yanfeien
dc.contributor.authorCheng, Shengfengen
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-02-04T14:11:39Zen
dc.date.available2019-02-04T14:11:39Zen
dc.date.issued2019-01-01en
dc.date.updated2019-02-04T14:11:37Zen
dc.description.abstractWe systematically study the meniscus on the outside of a small circular cylinder vertically immersed in a liquid bath in a cylindrical container that is coaxial with the cylinder. The cylinder has a radius R much smaller than the capillary length, κ-1, and the container radius, L, is varied from a small value comparable to R to ∞. In the limit of L≪κ-1, we analytically solve the general Young-Laplace equation governing the meniscus profile and show that the meniscus height, Δh, scales approximately with Rln(L/R). In the opposite limit where L≫κ-1,Δh becomes independent of L and scales with Rln(κ-1/R). We implement a numerical scheme to solve the general Young-Laplace equation for an arbitrary L and demonstrate the crossover of the meniscus profile between these two limits. The crossover region has been determined to be roughly 0.4κ-1≲L≲4κ-1. An approximate analytical expression has been found for Δh, enabling its accurate prediction at any values of L that ranges from microscopic to macroscopic scales.en
dc.description.versionPublished versionen
dc.format.extentPages 401-408en
dc.format.extent8 page(s)en
dc.format.mediumPrint-Electronicen
dc.identifier.doihttps://doi.org/10.1016/j.jcis.2018.08.081en
dc.identifier.eissn1095-7103en
dc.identifier.issn0021-9797en
dc.identifier.orcidCheng, Shengfeng [0000-0002-6066-2968]en
dc.identifier.otherS0021-9797(18)31002-6 (PII)en
dc.identifier.pmid30172150en
dc.identifier.urihttp://hdl.handle.net/10919/87422en
dc.identifier.volume533en
dc.languageEnglishen
dc.publisherAcademic Press – Elsevieren
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000447815200041&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectScience & Technologyen
dc.subjectPhysical Sciencesen
dc.subjectChemistry, Physicalen
dc.subjectChemistryen
dc.subjectWettingen
dc.subjectMeniscusen
dc.subjectLiquid-vapor interfaceen
dc.subjectYoung-Laplace equationen
dc.subjectSTATIC MENISCIen
dc.subjectPENDULAR RINGSen
dc.subjectSURFACESen
dc.subjectFORCEen
dc.subjectSHAPEen
dc.subjectINTERFACESen
dc.subjectPARTICLESen
dc.subjectCONSTANTen
dc.subjectSESSILEen
dc.subjectSPHERESen
dc.subject03 Chemical Sciencesen
dc.subject09 Engineeringen
dc.subject02 Physical Sciencesen
dc.subjectChemical Physicsen
dc.titleThe meniscus on the outside of a circular cylinder: From microscopic to macroscopic scalesen
dc.title.serialJournal of Colloid And Interface Scienceen
dc.typeArticle - Refereeden
dc.type.otherJournalen
dcterms.dateAccepted2018-08-23en
pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Science/Physicsen
pubs.organisational-group/Virginia Tech/Science/COS T&R Facultyen

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