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

Autor: Elisabeth Lemaire, Gilles Ausias, Sihem Bounoua, Julien Férec, Andrey Zubarev, Pavel Kuzhir
Přispěvatelé: Laboratoire de physique de la matière condensée (LPMC), Centre National de la Recherche Scientifique (CNRS)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA), Institut de Recherche Dupuy de Lôme (IRDL), Université de Brest (UBO)-Centre National de la Recherche Scientifique (CNRS)-École Nationale Supérieure de Techniques Avancées Bretagne (ENSTA Bretagne)-Université de Bretagne Sud (UBS), Department of Mathematical Physics, Ural State University
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Yield (engineering)
Materials science
VAN DER WAALS FORCES
SUSPENSIONS
SHEAR STRESS
Thermodynamics
VAN DER WAALS INTERACTIONS
01 natural sciences
ELECTROSTATIC REPULSION
010305 fluids & plasmas
CARBON
symbols.namesake
RHEOLOGY
Rheology
0103 physical sciences
Shear stress
Newtonian fluid
[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]
ASPECT RATIO
EPOXY RESINS
FIRST NORMAL STRESS DIFFERENCE
COLLOID
010304 chemical physics
QUADRATIC DEPENDENCE
Mechanical Engineering
FRICTION
COLLOIDAL INTERACTION
Condensed Matter Physics
COLLOIDS
PARTICLE VOLUME FRACTIONS
VOLUME FRACTION
Simple shear
SUSPENSIONS (FLUIDS)
Shear (geology)
Mechanics of Materials
PARTICLE ASPECT RATIOS
ELECTROSTATICS
YARN
POWER LAW EXPONENT
Volume fraction
SHEAR FLOW
symbols
YIELD STRESS
van der Waals force
POWER LAW
FIBERS
Zdroj: Journal of Fluid Mechanics
Journal of Fluid Mechanics, Cambridge University Press (CUP), 2016, 802, pp.611-633. ⟨10.1017/jfm.2016.475⟩
J. Fluid Mech.
ISSN: 0022-1120
1469-7645
Popis: 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 $\unicode[STIX]{x1D719}^{3.2}$).
Databáze: OpenAIRE