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Development of particle migration in pressure-driven flow of a Brownian suspension

Published online by Cambridge University Press:  22 May 2007

DENIS SEMWOGERERE ,
JEFFREY F. MORRIS  and
ERIC R. WEEKS
DENIS SEMWOGERERE
Affiliation:
Physics Department, Emory University, Atlanta, GA 30322, USA
JEFFREY F. MORRIS
Affiliation:
Benjamin Levich Institute and Department of Chemical Engineering, City College of New York, New York, NY 10031, USA
ERIC R. WEEKS
Affiliation:
Physics Department, Emory University, Atlanta, GA 30322, USA
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Abstract

An experimental investigation into the influence of Brownian motion on shear-induced particle migration of monodisperse suspensions of micrometre-sized colloidal particles is presented. The suspension is pumped through a 50 μm × 500 μm rectangular cross-section glass channel. The experiments are characterized chiefly by the sample volume fraction (φ = 0.1 − 0.4), and the flow rate expressed as the Péclet number (Pe = 10 − 400). For each experiment we measure the entrance length, which is the distance from the inlet of the channel required for the concentration profile to develop to its non-uniform steady state. The entrance length increases strongly with increasing Pe for Pe ≪ 100, in marked contrast to non-Brownian flows for which the entrance length is flow-rate independent. For larger Pe, the entrance length reaches a constant value which depends on the other experimental parameters. Additionally, the entrance length decreases with increasing φ; this effect is strongest for low φ. Modelling of the migration based on spatial variation of the normal stresses due to the particles captures the primary features observed in the axial evolution over a range of Pe and φ.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 581 , 25 June 2007 , pp. 437 - 451
Copyright
Copyright © Cambridge University Press 2007

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