Stochastic Simulation Of Sedimentation
Author(s)
E.M. Tory & R.A. Ford
Abstract
The slow sedimentation of small particles in a viscous fluid is a long-standing
problem with many important applications. One-dimensional sedimentation
of a suspension of rigid spheres in a Newtonian fluid involves three param-
eters: the mean, variance, and autocorrelation of the vertical component of
particle velocities. The mean corresponds to Kynch's unique (or character-
istic) velocity, the variance reflects the spatial and temporal variability of
particle velocities, and the autocorrelation preserves the continuity of the
velocity of each individual particle. To account for these properties, Tory
and Pickard formulated a three-parameter Markov model in which identical
particles in the same environment are governed, independently, by the same
stochastic process. This model preserves the short-term predictability of
deterministic solu
Keywords
Related Book
Other papers in this volume
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