Flow of spatially non-uniform suspensions.: Part I: Phenomenology

The response of a spatially non-uniform suspension of spheres to several forcing agents — forces and torques applied to the spheres, and an imposed simple shear — is studied numerically for Stokes flow conditions. While the standard results are recovered in the uniform case, it is found that the non...

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Bibliographic Details
Published in:International journal of multiphase flow 2000-01, Vol.26 (5), p.783-831
Main Authors: Marchioro, M., Tanksley, M., Prosperetti, A.
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Computer simulation
Direct numerical simulation
Probability distributions
Spatial non-uniformity
Spheres
Suspensions
Suspensions (fluids)
Torque
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Summary:The response of a spatially non-uniform suspension of spheres to several forcing agents — forces and torques applied to the spheres, and an imposed simple shear — is studied numerically for Stokes flow conditions. While the standard results are recovered in the uniform case, it is found that the non-uniformity of the particle probability distribution gives rise to qualitatively new features. For example, the rheological behavior of the system cannot be described solely in terms of an effective viscosity; a relative velocity between particles and fluid can arise; the particles can either lead or lag the local angular velocity of the fluid elements. It is shown that a mixture effective viscosity can be calculated for all three cases with mutually consistent results. In a subsequent paper the present results will be used to derive in a systematic way closure relations for an averaged-equations description of the suspension.
ISSN:0301-9322
1879-3533
DOI:10.1016/S0301-9322(99)00068-3