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Published online by Cambridge University Press: 01 July 2016
The sedimentation of a monodisperse suspension of solid particles in a viscous fluid is a complex process. Mathematically, a slurry may be viewed as a collection of interacting particle paths. Interest focuses primarily on various global aspects of the system, but the behaviour of individual particles during sedimentation is also important. Kynch's flux theory and continuum mechanics models explicitly avoid the treatment of individual particles. At the other extreme, Brenner's fluid dynamic approach characterizes individual motion in terms of the exact (and detailed) configuration of the entire slurry. We replace this chaos of complex interaction with the formal chaos of stochastic processes.