Journal of Fluid Mechanics

Papers

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

KYONGMIN YEOa1 and MARTIN R. MAXEYa1 c1

a1 Division of Applied Mathematics, Brown University, Providence, RI 02912, USA

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.

(Received August 18 2009)

(Revised November 11 2009)

(Accepted November 11 2009)

Correspondence:

c1 Email address for correspondence: maxey@cfm.brown.edu

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