Stability of concentrated suspensions under Couette and Poiseuille flow
dc.contributor.author | Ahnert, Tobias | |
dc.contributor.author | Münch, Andreas | |
dc.contributor.author | Niethammer, Barbara | |
dc.contributor.author | Wagner, Barbara | |
dc.date.accessioned | 2021-12-17T10:13:14Z | |
dc.date.available | 2021-12-17T10:13:14Z | |
dc.date.issued | 2015-09-15 | |
dc.description.abstract | The 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.issn | 2197-8085 | |
dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15840 | |
dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14613 | |
dc.language.iso | en | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
dc.subject.ddc | 510 Mathematik | en |
dc.subject.other | stability analysis | en |
dc.subject.other | suspensions | en |
dc.subject.other | yield stress | en |
dc.subject.other | multiphase flow model | en |
dc.subject.other | Bingham flow | en |
dc.title | Stability of concentrated suspensions under Couette and Poiseuille flow | en |
dc.type | Research Paper | en |
dc.type.version | submittedVersion | en |
tub.accessrights.dnb | free | en |
tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
tub.affiliation.institute | Inst. Mathematik | de |
tub.publisher.universityorinstitution | Technische Universität Berlin | en |
tub.series.issuenumber | 2015, 21 | en |
tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
tub.subject.msc2000 | 76T20 Suspensions | en |
tub.subject.msc2000 | 35Q35 Other equations arising in fluid mechanics | en |
Files
Original bundle
1 - 1 of 1