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Effects of viscoelasticity on shear-thickening in dilute suspensions in a viscoelastic fluid

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Abstract

We investigate previously unclarified effects of fluid elasticity on shear-thickening in dilute suspensions in an Oldroyd-B viscoelastic fluid using a novel direct numerical simulation based on the smoothed profile method. Fluid elasticity is determined by the Weissenberg number Wi and by viscosity ratio 1 − β = ηp/(ηs + ηp) which measures the coupling between the polymer stress and flow: ηp and ηs are the polymer and solvent viscosity, respectively. As 1 − β increases, while the stresslet does not change significantly compared to that in the β → 1 limit, the growth rate of the normalized polymer stress with Wi was suppressed. Analysis of flow and conformation dynamics around a particle for different β reveals that at large 1 − β, polymer stress modulates flow, leading to suppression of polymer stretch. This effect of β on polymer stress development indicates complex coupling between fluid elasticity and flow, and is essential to understand the rheology and hydrodynamic interactions in suspensions in viscoelastic media.

Graphical abstract: Effects of viscoelasticity on shear-thickening in dilute suspensions in a viscoelastic fluid

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Article information


Submitted
27 Aug 2019
Accepted
03 Dec 2019
First published
03 Dec 2019

Soft Matter, 2020, Advance Article
Article type
Paper

Effects of viscoelasticity on shear-thickening in dilute suspensions in a viscoelastic fluid

Y. Matsuoka, Y. Nakayama and T. Kajiwara, Soft Matter, 2020, Advance Article , DOI: 10.1039/C9SM01736D

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