Optimal Control of Droplets on a Solid Surface Using Distributed Contact Angles

dc.contributor.authorBonart, Henning
dc.contributor.authorKahle, Christian
dc.contributor.authorRepke, Jens-Uwe
dc.date.accessioned2020-08-24T07:38:32Z
dc.date.available2020-08-24T07:38:32Z
dc.date.issued2020-07-06
dc.description.abstractControlling the shape and position of moving and pinned droplets on a solid surface is an important feature often found in microfluidic applications. However, automating them, e.g., for high-throughput applications, rarely involves model-based optimal control strategies. In this work, we demonstrate the optimal control of both the shape and position of a droplet sliding on an inclined surface. This basic test case is a fundamental building block in plenty of microfluidic designs. The static contact angle between the solid surface, the surrounding gas, and the liquid droplet serves as the control variable. By using several control patches, e.g., like that performed in electrowetting, the contact angles are allowed to vary in space and time. In computer experiments, we are able to calculate mathematically optimal contact angle distributions using gradient-based optimization. The dynamics of the droplet are described by the Cahn–Hilliard–Navier–Stokes equations. We anticipate our demonstration to be the starting point for more sophisticated optimal design and control concepts.en
dc.description.sponsorshipDFG, 392533833, Direkte Numerische Simulation von Filmströmungen auf mikrostrukturierten Oberflächenen
dc.identifier.eissn1520-5827
dc.identifier.issn0743-7463
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/11590
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-10479
dc.language.isoenen
dc.relation.isreferencedby10.14279/depositonce-11313en
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc621 Angewandte Physikde
dc.subject.otherdropletsen
dc.subject.otheroptimal controlen
dc.subject.othercontact angleen
dc.subject.otherphase field modelingen
dc.subject.otherelectrowettingen
dc.subject.otherlab-on-a-chipen
dc.titleOptimal Control of Droplets on a Solid Surface Using Distributed Contact Anglesen
dc.typeArticleen
dc.type.versionacceptedVersionen
dcterms.bibliographicCitation.articlenumber8903en
dcterms.bibliographicCitation.doi10.1021/acs.langmuir.0c01242en
dcterms.bibliographicCitation.issue30en
dcterms.bibliographicCitation.journaltitleLangmuiren
dcterms.bibliographicCitation.originalpublishernameAmerican Chemical Society (ACS)en
dcterms.bibliographicCitation.originalpublisherplaceWashington, DCen
dcterms.bibliographicCitation.pageend8894en
dcterms.bibliographicCitation.volume36en
tub.accessrights.dnbdomain*
tub.affiliationFak. 3 Prozesswissenschaften::Inst. Prozess- und Verfahrenstechnik::FG Dynamik und Betrieb technischer Anlagende
tub.affiliation.facultyFak. 3 Prozesswissenschaftende
tub.affiliation.groupFG Dynamik und Betrieb technischer Anlagende
tub.affiliation.instituteInst. Prozess- und Verfahrenstechnikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen

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