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Prediction of shear thickening of particle suspensions in viscoelastic fluids by direct numerical simulation

Published online by Cambridge University Press:  01 March 2021

Yuki Matsuoka Open the ORCID record for Yuki Matsuoka [Opens in a new window] ,
Yasuya Nakayama  and
Toshihisa Kajiwara
Yuki Matsuoka*
Affiliation:
Corporate Engineering Center, Sumitomo Bakelite Co. Ltd, Shizuoka426-0041, Japan Department of Chemical Engineering, Kyushu University, Fukuoka819-0395, Japan
Yasuya Nakayama*
Affiliation:
Department of Chemical Engineering, Kyushu University, Fukuoka819-0395, Japan
Toshihisa Kajiwara
Affiliation:
Department of Chemical Engineering, Kyushu University, Fukuoka819-0395, Japan
*
†Email addresses for correspondence: ymatsuoka@sumibe.co.jp, nakayama@chem-eng.kyushu-u.ac.jp
†Email addresses for correspondence: ymatsuoka@sumibe.co.jp, nakayama@chem-eng.kyushu-u.ac.jp
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Abstract

To elucidate the key factor for the quantitative prediction of the shear thickening in suspensions in viscoelastic fluids, direct numerical simulations of many-particle suspensions in a multi-mode Oldroyd-B fluid are performed using the smoothed profile method. Suspension flow under simple shear flow is solved under periodic boundary conditions by using Lees–Edwards boundary conditions for particle dynamics and a time-dependent oblique coordinate system that evolves with mean shear flow for fluid dynamics. Semidilute many-particle suspensions up to a particle volume fraction of 0.1 are investigated. The presented numerical results regarding the bulk rheological properties of the shear-thickening behaviour agree quantitatively with recent experimental results of semidilute suspensions in a Boger fluid. The presented result clarifies that an accurate estimation of the first normal stress difference of the matrix in the shear-rate range where the shear thickening starts to occur is crucial for the quantitative prediction of the suspension shear thickening in a Boger fluid matrix at around the Weissenberg number ${Wi}=1$ by an Oldroyd-B model. Additionally, the effect of suspension microstructures on the suspension viscosity is examined. The paper concludes with a discussion on how the flow pattern and the elastic stress development change with the volume fraction and Weissenberg number.

JFM classification

Complex Fluids: Suspensions Non-Newtonian Flows: Rheology Non-Newtonian Flows: Viscoelasticity
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 913 , 25 April 2021 , A38
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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