A comparison of macroscopic models describing the collective response of sedimenting rod-like particles in shear flows

Handle URI:
http://hdl.handle.net/10754/583106
Title:
A comparison of macroscopic models describing the collective response of sedimenting rod-like particles in shear flows
Authors:
Helzel, Christiane; Tzavaras, Athanasios ( 0000-0002-1896-2270 )
Abstract:
We 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.
KAUST Department:
Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
Citation:
A comparison of macroscopic models describing the collective response of sedimenting rod-like particles in shear flows 2016 Physica D: Nonlinear Phenomena
Publisher:
Elsevier BV
Journal:
Physica D: Nonlinear Phenomena
Issue Date:
22-Jul-2016
DOI:
10.1016/j.physd.2016.07.004
ARXIV:
arXiv:1510.03972
Type:
Article
ISSN:
01672789
Sponsors:
Research supported in part by the King Abdullah University of Science and Technology and by the Aristeia program of the Greek Secretariat for Research.
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S0167278915301834; http://arxiv.org/abs/1510.03972
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorHelzel, Christianeen
dc.contributor.authorTzavaras, Athanasiosen
dc.date.accessioned2016-07-26T09:43:02Z-
dc.date.available2016-07-26T09:43:02Z-
dc.date.issued2016-07-22-
dc.identifier.citationA comparison of macroscopic models describing the collective response of sedimenting rod-like particles in shear flows 2016 Physica D: Nonlinear Phenomenaen
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.en
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.en
dc.language.isoenen
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0167278915301834en
dc.relation.urlhttp://arxiv.org/abs/1510.03972en
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.2016.07.004en
dc.subjectRod-like particlesen
dc.subjectSedimentationen
dc.subjectLinear stabilityen
dc.subjectMoment closureen
dc.subjectQuasi-dynamic approximationen
dc.subjectDiffusive scalingen
dc.titleA comparison of macroscopic models describing the collective response of sedimenting rod-like particles in shear flowsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Science and Engineering (CEMSE) Divisionen
dc.identifier.journalPhysica D: Nonlinear Phenomenaen
dc.eprint.versionPost-printen
dc.contributor.institutionInstitute of Mathematics, Heinrich-Heine-University Düsseldorf, Düsseldorf, Germanyen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
dc.identifier.arxividarXiv:1510.03972-
kaust.authorTzavaras, Athanasiosen

Version History

VersionItem Editor Date Summary
2 10754/583106grenzdm2016-07-26 10:34:08.0Published with DOI.
1 10754/583106.1wangh0e2015-12-02 12:26:31.0null
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