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Stochastic modeling of particle coating
Author(s) -
Alonso M.,
Alguacil F. J.
Publication year - 2001
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690470608
Subject(s) - bernoulli distribution , particle (ecology) , bernoulli's principle , population , mechanics , steady state (chemistry) , population balance equation , component (thermodynamics) , distribution (mathematics) , thermodynamics , birth–death process , materials science , statistical physics , physics , mathematics , chemistry , mathematical analysis , statistics , random variable , oceanography , demography , sociology , geology
Dry coating of powders, in forming a layer, consists of fine particles of one component onto the surface of coarser particles of another component. In the process, fine particles are transferred among colliding coarse particles (carriers) until a steady‐state distribution of fines on the carriers surface is attained. A stochastic model was developed for the kinetics of fines transfer based on a birth‐death population balance including theoretically‐derived one‐step transition probabilities. First, the population balance equation is solved under steady‐state conditions leading to the result that, at equilibrium, the number of fines per carrier follows a Bernoulli distribution. Based on the obtained equilibrium distribution, an approximate transient solution proposed agrees fairly well with the numerical solution of the birth‐death equation. Model predictions were compared qualitatively with earlier experimental results.