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dc.contributor.authorZhong, Hua
dc.contributor.authorWang, Xiao-Ping
dc.contributor.authorSun, Shuyu
dc.date.accessioned2016-11-03T13:22:00Z
dc.date.available2016-11-03T13:22:00Z
dc.date.issued2016-09-26
dc.identifier.citationZhong H, Wang X-P, Sun S (2016) A numerical study of three-dimensional droplets spreading on chemically patterned surfaces. Discrete and Continuous Dynamical Systems - Series B 21: 2905–2926. Available: http://dx.doi.org/10.3934/dcdsb.2016079.
dc.identifier.issn1531-3492
dc.identifier.doi10.3934/dcdsb.2016079
dc.identifier.urihttp://hdl.handle.net/10754/621655
dc.description.abstractWe study numerically the three-dimensional droplets spreading on physically flat chemically patterned surfaces with periodic squares separated by channels. Our model consists of the Navier-Stokes-Cahn-Hilliard equations with the generalized Navier boundary conditions. Stick-slip behavior and con-tact angle hysteresis are observed. Moreover, we also study the relationship between the effective advancing/receding angle and the two intrinsic angles of the surface patterns. By increasing the volume of droplet gradually, we find that the advancing contact line tends gradually to an equiangular octagon with the length ratio of the two adjacent sides equal to a fixed value that depends on the geometry of the pattern.
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)
dc.subjectAsymptotic behavior
dc.subjectContact angle hysteresis
dc.subjectContact line
dc.subjectPatterned surfaces
dc.subjectTwo-phase flow.
dc.titleA numerical study of three-dimensional droplets spreading on chemically patterned surfaces
dc.typeArticle
dc.contributor.departmentComputational Transport Phenomena Lab
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalDiscrete and Continuous Dynamical Systems - Series B
dc.contributor.institutionSchool of Mathematics and Statistics, Guangdong University of Finance and Economics, China
dc.contributor.institutionDepartment of Mathematics, Hong Kong University of Science and Technology, Hong Kong, Hong Kong
kaust.personSun, Shuyu
dc.date.published-online2016-09-26
dc.date.published-print2016-09


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