Second-gradient modelling of orientation development and rheology of dilute confined suspensions

Scheuer, Adrien;Abisset-Chavanne, Emmanuelle;Chinesta, Francisco;Keunings, Roland
(2016) Journal of Non-Newtonian Fluid Mechanics — Vol. 237, p. 54-64 (2016)

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Authors
  • Scheuer, AdrienUCLouvain
    Author
  • Abisset-Chavanne, EmmanuelleEcole centrale de Nantes, Nantes, France
    Author
  • Chinesta, FranciscoEcole centrale de Nantes, Nantes, France
    Author
  • Keunings, RolandUCLouvain
    Author
Abstract
We address the extension of Jeffery’s model, governing the orientation of rods immersed in a Newtonian fluid, to confined regimes occurring when the thickness of the flow domain is narrower than the rod length. The main modelling ingredients concern: (i) the consideration of the rod interactions with one or both gap walls and their effects on the rod orientation kinematics; and (ii) the consideration of non-uniform strain rates at the scale of the rod, requiring higher-order descriptions. Such scenarios are very close to those encountered in real composites forming processes and have never been appropriately addressed from a microstructural point of view. We also show that confinement conditions affect the rheology of the suspension.
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Scheuer, A., Abisset-Chavanne, E., Chinesta, F., & Keunings, R. (2016). Second-gradient modelling of orientation development and rheology of dilute confined suspensions. Journal of Non-Newtonian Fluid Mechanics, 237, 54-64. https://doi.org/10.1016/j.jnnfm.2016.10.004 (Original work published 2016)