Settling and fluidization of non Brownian hard spheres in a viscous liquid |
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Authors: | P Snabre P Mills |
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Institution: | (1) Institut de Science et de Génie des Matériaux et Procédés (CNRS UPR 8521), B.P. 5, 66125 Font-Romeu, France, FR;(2) L.P.M.D.I, Université de Marne-la-Vallée, 5 boulevard Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée Cedex, France, FR |
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Abstract: | A mean field approach is used to estimate the energy dissipation during the homogeneous sedimentation or the particulate fluidization
of non Brownian hard spheres in a concentrated suspension of infinite extent. Depending on inertial screening and the range
of the hydrodynamic interactions, the effective buoyancy force is determined either from the average suspension density in
a Stokes flow or from the fluid density in the turbulent flow regime. An energy balance then yields a settling or fluidization
law depending on the particle Reynolds number in reasonable agreement with the Richardson and Zaki correlation and recent
experimental results for particle settling or fluidization. We further estimate the energy dissipation in the turbulent boundary
layers around the particles to precise the Reynolds number dependence of the hindered settling function in the intermediate
flow regime.
Received 22 February 1999 and Received in final form 14 June 1999 |
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Keywords: | PACS 47 55 Kf Multiplase and particle-laden flows - 47 90 +a Other topics in fluid dynamics - 83 10 Lk Multiplase flows |
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