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From dilute to entangled fibre suspensions involved in the flow of reinforced polymers: A unified framework

Article dans une revue avec comité de lecture
Author
PEREZ, Marta
GUEVELOU, S
KEUNINGS, Roland
92863 Université Catholique de Louvain = Catholic University of Louvain [UCL]
ccABISSET-CHAVANNE, Emmanuelle
111023 École Centrale de Nantes [ECN]
ccCHINESTA SORIA, Francisco
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]

URI
http://hdl.handle.net/10985/12434
DOI
10.1016/j.jnnfm.2017.10.003
Date
2017
Journal
Journal of Non-Newtonian Fluid Mechanics

Abstract

Most suspension descriptions nowadays employed are based on Jeffery model and some of its phenomenological adaptations that do not take into account the possible existence of a relative velocity between the fibres and the suspending fluid when the fibre interactions increase. It is expected that at very low density of contacts, as predicted by standard suspension models, fibres move with the suspending fluid velocity. When the density of fibre interactions becomes extremely high and a percolated network of fibre contacts is established within the suspension, fibres cannot move anymore and then the fluid flows throughout the rigid or moderately deformable entangled fibre skeleton, like a fluid flowing through a porous medium. In between these two limit cases, one could expect that fibres move but with a velocity lower than the one of the suspending fluid. Thus, two contributions are expected, one coming from standard suspension theory in which fibres and fluid move with the same velocity, and the other resulting in a Darcy contribution consisting of the relative fibre/fluid velocity. In this paper, we elaborate a general model able to adapt continuously to all these flow regimes.

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