A Probabilistic‐Statistical Model of Change of Particle Size Distribution in Settlers and Tanks

A probabilistic and statistical model of changes in the particle size distribution of the dispersed phase of low‐concentrated suspensions has been developed. The applicability of the method is theoretically substantiated. It is demonstrated that changes in the particle size distribution, in particul...

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Bibliographic Details
Published in:Chemical engineering & technology 2019-04, Vol.42 (4), p.812-817
Main Authors: Grechushkin, Andrey N., Lvov, Vladimir A.
Format: Article
Language:English
Subjects:
Liquid‐solid polydisperse systems
Particle size
Particle size distribution
Probabilistic‐statistical model
Sedimentation tanks
Settler
Statistical analysis
Statistical models
Suspensions
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Summary:A probabilistic and statistical model of changes in the particle size distribution of the dispersed phase of low‐concentrated suspensions has been developed. The applicability of the method is theoretically substantiated. It is demonstrated that changes in the particle size distribution, in particular in the field of gravity, can be described by the Fokker‐Planck‐Kolmogorov equation. The solid particle distribution in a liquid inside a tank in the presence of sedimentation and random perturbing forces caused particularly by convective motion is considered. The behavior of particles can be described by a diffusion‐type equation, the Fokker‐Planck‐Kolmogorov equation. Stationary particle distributions over the height and horizontal cross sections of the tank were obtained.
ISSN:0930-7516
1521-4125
DOI:10.1002/ceat.201800571