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One and two-fiber orientation kinetic theories of fiber suspensions

Type
Articles dans des revues avec comité de lecture
Author
GRMELA, Miroslav
57241 École Polytechnique de Montréal [EPM]
AMMAR, Amine
211916 Laboratoire Arts et Métiers ParisTech - Ecoulements Complexes Photonique et Surfaces [LAMPA-ECPS]
CHINESTA, Francisco
10921 Institut de Recherche en Génie Civil et Mécanique [GeM]

URI
http://hdl.handle.net/10985/8488
DOI
10.1016/j.jnnfm.2012.10.009
Date
2013
Journal
Journal of Non-Newtonian Fluid Mechanics

Abstract

The morphology influencing rheological properties of suspensions of rigid spheres constitutes the flow induced collective ordering of the spheres characterized by two or more sphere distribution functions. When the rigid spheres are replaced by rigid fibers, the collective order in the position of the spheres is replaced by the flow induced orientation of the fibers that suffices to be characterized by one-fiber orientation distribution function. A flow induced collective ordering of fibers (both in position and orientation), that can only be characterized by two or more fiber distribution functions, can still however constitute an important part of the morphology. We show that two types of interaction among fibers, one being the Onsager-type topological interaction entering the free energy and the other the hydrodynamics interaction entering the dissipative part of the time evolution, give indeed rise to a collective order in the orientation influencing the rheology of fiber suspensions.

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