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Dynamics of concentrated suspensions of non-colloidal particles in Couette flow

Published online by Cambridge University Press:  13 April 2010

KYONGMIN YEO  and
MARTIN R. MAXEY
KYONGMIN YEO
Affiliation:
Division of Applied Mathematics, Brown University, Providence, RI 02912, USA
MARTIN R. MAXEY*
Affiliation:
Division of Applied Mathematics, Brown University, Providence, RI 02912, USA
*
†Email address for correspondence: maxey@cfm.brown.edu
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Abstract

Fully three-dimensional numerical simulations of concentrated suspensions of O(1000) particles in a Couette flow at zero Reynolds number are performed with the goal of determining the wall effects on concentrated suspensions of non-colloidal particles. The simulations, based on the force-coupling method, are performed for 0.2 ≤ φ ≤ 0.4 and 10 < Ly/a < 30, where φ denotes the volume fraction and Ly and a are, respectively, the channel height and the particle radius. It is shown that the suspensions can be divided into three regions depending on the microstructures; the wall region where a structured particle layering is dominant, the core region in which the suspension field is quasi-homogeneous, and the buffer region which shows the characteristics of both the particle layer and the shear structure. The width of the inhomogeneous region (wall and buffer) is a function of φ and not sensitive to Ly/a, once Ly/a is larger than a threshold. Rheological properties in the inhomogeneous and quasi-homogeneous regions are investigated. The particle stresses are compared with previous rheological models.

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Papers
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Journal of Fluid Mechanics , Volume 649 , 25 April 2010 , pp. 205 - 231
Copyright
Copyright © Cambridge University Press 2010

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