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The lateral migration of a spherical particle in two-dimensional shear flows

Published online by Cambridge University Press:  11 April 2006

P. Vasseur  and
R. G. Cox
P. Vasseur
Affiliation:
Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Quebec, Canada Present address: Department of Civil Engineering, Ecole Polytechnique, Montreal Quebec, Canada.
R. G. Cox
Affiliation:
Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Quebec, Canada
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Abstract

The lateral migration of a solid spherical particle suspended in a fluid flowing between parallel vertical walls is investigated theoretically using a method developed by Cox & Brenner (1968). Buoyant and neutrally buoyant, freely rotating and non-rotating particles in the fluid flow are considered as is also the case of a sedimenting particle in a quiescent fluid. The results obtained are applied to the special cases of plane Poiseuille flow and of plane shear flow, these situations being investigated in detail.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 78 , Issue 2 , 23 November 1976 , pp. 385 - 413
Copyright
© 1976 Cambridge University Press

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