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dc.contributor.authorHelzel, Christiane
dc.contributor.authorTzavaras, Athanasios
dc.date.accessioned2016-07-26T09:43:02Z
dc.date.available2016-07-26T09:43:02Z
dc.date.issued2016-07-23
dc.identifier.citationA comparison of macroscopic models describing the collective response of sedimenting rod-like particles in shear flows 2016 Physica D: Nonlinear Phenomena
dc.identifier.issn01672789
dc.identifier.doi10.1016/j.physd.2016.07.004
dc.identifier.urihttp://hdl.handle.net/10754/583106
dc.description.abstractWe consider a kinetic model, which describes the sedimentation of rod-like particles in dilute suspensions under the influence of gravity, presented in Helzel and Tzavaras (submitted for publication). Here we restrict our considerations to shear flow and consider a simplified situation, where the particle orientation is restricted to the plane spanned by the direction of shear and the direction of gravity. For this simplified kinetic model we carry out a linear stability analysis and we derive two different nonlinear macroscopic models which describe the formation of clusters of higher particle density. One of these macroscopic models is based on a diffusive scaling, the other one is based on a so-called quasi-dynamic approximation. Numerical computations, which compare the predictions of the macroscopic models with the kinetic model, complete our presentation.
dc.description.sponsorshipResearch supported in part by the King Abdullah University of Science and Technology and by the Aristeia program of the Greek Secretariat for Research.
dc.language.isoen
dc.publisherElsevier BV
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0167278915301834
dc.relation.urlhttp://arxiv.org/abs/1510.03972
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Physica D: Nonlinear Phenomena. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physica D: Nonlinear Phenomena, 22 July 2016. DOI: 10.1016/j.physd.2016.07.004
dc.subjectRod-like particles
dc.subjectSedimentation
dc.subjectLinear stability
dc.subjectMoment closure
dc.subjectQuasi-dynamic approximation
dc.subjectDiffusive scaling
dc.titleA comparison of macroscopic models describing the collective response of sedimenting rod-like particles in shear flows
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.identifier.journalPhysica D: Nonlinear Phenomena
dc.eprint.versionPost-print
dc.contributor.institutionInstitute of Mathematics, Heinrich-Heine-University Düsseldorf, Düsseldorf, Germany
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
dc.identifier.arxivid1510.03972
kaust.personTzavaras, Athanasios
dc.versionv1
refterms.dateFOA2018-07-22T00:00:00Z
dc.date.published-online2016-07-23
dc.date.published-print2016-12
dc.date.posted2015-10-14


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