Stability of concentrated suspensions under Couette and Poiseuille flow

dc.contributor.authorAhnert, Tobias
dc.contributor.authorMünch, Andreas
dc.contributor.authorNiethammer, Barbara
dc.contributor.authorWagner, Barbara
dc.date.accessioned2021-12-17T10:13:14Z
dc.date.available2021-12-17T10:13:14Z
dc.date.issued2015-09-15
dc.description.abstractThe stability of two-dimensional Poiseuille flow and plane Couette flow for concentrated suspensions is investigated. Linear stability analysis of the two-phase flow model for both flow geometries shows the existence of a convectively driven instability with increasing growth rates of the unstable modes as the particle volume fraction of the suspension increases. In addition it is shown that there exists a bound for the particle phase viscosity below which the two-phase flow model may become ill-posed as the particle phase approaches its maximum packing fraction. The case of two-dimensional Poiseuille flow gives rise to base state solutions that exhibit a jammed and unyielded region, due to shear-induced migration, as the maximum packing fraction is approached. The stability characteristics of the resulting Bingham-type flow is investigated and connections to the stability problem for the related classical Bingham-flow problem are discussed.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15840
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14613
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherstability analysisen
dc.subject.othersuspensionsen
dc.subject.otheryield stressen
dc.subject.othermultiphase flow modelen
dc.subject.otherBingham flowen
dc.titleStability of concentrated suspensions under Couette and Poiseuille flowen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften>Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2015, 21en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200076T20 Suspensionsen
tub.subject.msc200035Q35 Other equations arising in fluid mechanicsen
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