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 |
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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 |
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