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Article Dans Une Revue Journal of Non-Newtonian Fluid Mechanics Année : 2015

On the multiscale description of dilute suspensions of non-Brownian rigid clusters composed of rods

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The motion of an ellipsoidal particle immersed in a flow of a Newtonian fluid was obtained in the pioneering work of Jeffery in 1922. Suspensions of industrial interest usually involve particles with a variety of shapes. Moreover, suspensions composed of rods (a limit case of an ellipsoid) aggregate, leading to clusters with particular shapes that exhibit, when immersed in a flow, an almost rigid motion. In this work, we propose a framework for describing dilute suspensions of rigid particles and derive an expression for calculating the motion of rigid clusters of general shape immersed in a flow of a Newtonian fluid. We show that the cluster's rotary velocity only depends on a symmetric tensor c with unit trace that can be considered as the appropriate conformation tensor for describing cluster kinematics.
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hal-01584797 , version 1 (09-09-2017)

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Emmanuelle Abisset-Chavanne, Francisco Chinesta, Julien Férec, Gilles Ausias, Roland Keunings. On the multiscale description of dilute suspensions of non-Brownian rigid clusters composed of rods. Journal of Non-Newtonian Fluid Mechanics, 2015, 222, pp.34-44. ⟨10.1016/j.jnnfm.2014.08.014⟩. ⟨hal-01584797⟩
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