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Apparent yield stress in rigid fibre suspensions: the role of attractive colloidal interactions

Published online by Cambridge University Press:  05 August 2016

S. Bounoua ,
E. Lemaire ,
J. Férec Open the ORCID record for J. Férec [Opens in a new window] ,
G. Ausias ,
A. Zubarev  and
P. Kuzhir
S. Bounoua
Affiliation:
University of Nice-Sophia Antipolis, CNRS UMR7336, Laboratory of Condensed Matter Physics, Parc Valrose, Nice 06100, France
E. Lemaire
Affiliation:
University of Nice-Sophia Antipolis, CNRS UMR7336, Laboratory of Condensed Matter Physics, Parc Valrose, Nice 06100, France
J. Férec
Affiliation:
Institut de Recherche Dupuy de Lôme (IRDL), Univ. Bretagne-Sud, FRE CNRS 3744, IRDL, F-56100 Lorient, France
G. Ausias
Affiliation:
Institut de Recherche Dupuy de Lôme (IRDL), Univ. Bretagne-Sud, FRE CNRS 3744, IRDL, F-56100 Lorient, France
A. Zubarev
Affiliation:
Department of Mathematical Physics, Ural Federal University, 51, Prospekt Lenina, Ekaterinburg 620083, Russia
P. Kuzhir*
Affiliation:
University of Nice-Sophia Antipolis, CNRS UMR7336, Laboratory of Condensed Matter Physics, Parc Valrose, Nice 06100, France
*
†Email address for correspondence: kuzhir@unice.fr
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Abstract

This work is focused on the modelling of the shear and normal stresses in fibre suspensions that are subjected to a simple shear flow in the presence of short-range lubrication forces, van der Waals and electrostatic forces, as well as solid friction forces between fibres. All of these forces are weighed by the contact probability. The theory is developed for attractive fibres with van der Waals interaction dominating over electrostatic repulsion. The model predicts a simple Bingham law for both the shear stress and the first normal stress difference, with the apparent shear and normal yield stresses proportional to the second and the third power of the particle volume fraction respectively. The model is applied to the experimental data of Rakatekar et al. (Adv. Mater., vol. 21, 2009, pp. 874–878) and Natale et al. (AIChE J., vol. 60, 2014, pp. 1476–1487) on suspensions of carbon nanotubes dispersed in a Newtonian epoxy resin. It reproduces well the quadratic dependence of the apparent yield stress on the particle volume fraction $(\unicode[STIX]{x1D70E}_{Y}\propto \unicode[STIX]{x1D719}^{2})$ for average particle aspect ratios of $r=160$ and 1200, while it underpredicts the power-law exponent for $r=80$ (always predicting $\unicode[STIX]{x1D719}^{2}$ behaviour instead of $\unicode[STIX]{x1D719}^{3.2}$ ).

JFM classification

Complex Fluids: Colloids Non-Newtonian Flows: Rheology Complex Fluids: Suspensions

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Type
Papers
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Journal of Fluid Mechanics , Volume 802 , 10 September 2016 , pp. 611 - 633
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© 2016 Cambridge University Press 

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