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Simulation of sedimentation

Published online by Cambridge University Press:  01 July 2016

David K. Pickard  and
Andelmer M. Tory
David K. Pickard
Affiliation:
Harvard University
Andelmer M. Tory
Affiliation:
Mount Allison University
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Extract

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.

Type
Applied Probability in Biology and Engineering. An ORSA/TIMS Special Interest Meeting
Information
Advances in Applied Probability , Volume 16 , Issue 1 , March 1984 , pp. 22
Copyright
Copyright © Applied Probability Trust 1984 

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References

Brenner, H. (1964) The Stokes resistance of an arbitrary particle II. An extension. Chern. Eng. Sci. 19, 599–629.Google Scholar
Kynch, G. J. (1952) A theory of sedimentation. Trans. Faraday Soc. 48, 166–176.Google Scholar
Pickard, D. K. and Tory, E. M. (1977) A Markov model for sedimentation. J. Math. Anal. Appl. 60, 349–369 Google Scholar