Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14613
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Main Title: Stability of concentrated suspensions under Couette and Poiseuille flow
Author(s): Ahnert, Tobias
Münch, Andreas
Niethammer, Barbara
Wagner, Barbara
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15840
http://dx.doi.org/10.14279/depositonce-14613
License: http://rightsstatements.org/vocab/InC/1.0/
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.
Subject(s): stability analysis
suspensions
yield stress
multiphase flow model
Bingham flow
Issue Date: 15-Sep-2015
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 76T20 Suspensions
35Q35 Other equations arising in fluid mechanics
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2015, 21
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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