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Channel flow of a tensorial shear-thinning Maxwell model: Lattice Boltzmann simulations

Papenkort, Simon and Voigtmann, Thomas (2014) Channel flow of a tensorial shear-thinning Maxwell model: Lattice Boltzmann simulations. Journal of Chemical Physics, 140, p. 164507. American Institute of Physics (AIP). doi: 10.1063/1.4872219. ISSN 0021-9606.

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Abstract

We discuss pressure-driven channel flow for a model of shear-thinning glass-forming fluids, employing a modified lattice-Boltzmann (LB) simulation scheme. The model is motivated by a recent microscopic approach to the nonlinear rheology of colloidal suspensions and captures a nonvanishing dynamical yield stress and the appearance of normal-stress differences and a flow-induced pressure contribution. The standard LB algorithm is extended to deal with tensorial, nonlinear constitutive equations of this class. The new LB scheme is tested in 2D pressure-driven channel flow and reproduces the analytical steady-state solution. The transient dynamics after startup and removal of the pressure gradient reproduce a finite stopping time for the cessation flow of yield-stress fluids in agreement with previous analytical estimates.

Item URL in elib:https://elib.dlr.de/89042/
Document Type:Article
Title:Channel flow of a tensorial shear-thinning Maxwell model: Lattice Boltzmann simulations
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Papenkort, SimonUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Voigtmann, ThomasUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Date:25 April 2014
Journal or Publication Title:Journal of Chemical Physics
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:140
DOI:10.1063/1.4872219
Page Range:p. 164507
Publisher:American Institute of Physics (AIP)
ISSN:0021-9606
Status:Published
Keywords:fluid dynamics, non-Newtonian rheology, lattice Boltzmann simulation, CFD
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Research under Space Conditions
DLR - Research area:Raumfahrt
DLR - Program:R FR - Research under Space Conditions
DLR - Research theme (Project):R - Vorhaben Materialwissenschaftliche Forschung (old)
Location: Köln-Porz
Institutes and Institutions:Institute of Materials Physics in Space
Deposited By: Voigtmann, Dr.rer.nat. Thomas
Deposited On:07 May 2014 08:36
Last Modified:08 Mar 2018 18:42

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