Optimal Control of Colloidal Trajectories in Inertial Microfluidics Using the Saffman Effect

dc.contributor.authorRühle, Felix
dc.contributor.authorSchaaf, Christian
dc.contributor.authorStark, Holger
dc.date.accessioned2020-11-19T10:25:26Z
dc.date.available2020-11-19T10:25:26Z
dc.date.issued2020-06-15
dc.date.updated2020-07-12T09:10:18Z
dc.description.abstractIn inertial microfluidics colloidal particles in a Poiseuille flow experience the Segré-Silberberg lift force, which drives them to specific positions in the channel cross section. An external force applied along the microchannel induces a cross-streamline migration to a new equilibrium position because of the Saffman effect. We apply optimal control theory to design the time protocol of the axial control force in order to steer a single particle as precisely as possible from a channel inlet to an outlet at a chosen target position. We discuss the influence of particle radius and channel length and show that optimal steering is cheaper than using a constant control force. Using a single optimized control-force protocol, we demonstrate that even a pulse of particles spread along the channel axis can be steered to a target and that particles of different radii can be separarted most efficiently.en
dc.description.sponsorshipTU Berlin, Open-Access-Mittel – 2020en
dc.description.sponsorshipDFG, 237143019, SPP 1726: Mikroschwimmer - Von Einzelpartikelbewegung zu kollektivem Verhaltenen
dc.description.sponsorshipDFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepteen
dc.identifier.eissn2072-666X
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/12034
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-10914
dc.language.isoenen
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en
dc.subject.ddc530 Physikde
dc.subject.otherinertial microfluidicsen
dc.subject.otheroptimal controlen
dc.subject.otherSaffman effecten
dc.titleOptimal Control of Colloidal Trajectories in Inertial Microfluidics Using the Saffman Effecten
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.articlenumber592en
dcterms.bibliographicCitation.doi10.3390/mi11060592en
dcterms.bibliographicCitation.issue6en
dcterms.bibliographicCitation.journaltitleMicromachinesen
dcterms.bibliographicCitation.originalpublishernameMDPIen
dcterms.bibliographicCitation.originalpublisherplaceBaselen
dcterms.bibliographicCitation.volume11en
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Theoretische Physik::FG Statistische Physik weicher Materie und biologischer Systemede
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.groupFG Statistische Physik weicher Materie und biologischer Systemede
tub.affiliation.instituteInst. Theoretische Physikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen

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