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Precipitation in small systems—II. Mean field equations more effective than population balance by S. Manjunath; K.S. Gandhi; R. Kumar; Doraiswami Ramkrishna is a Engineering article available to read on EtoBox.

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of this paper showed that the random particle numbers and size distributions in precipitation processes in very small drops obtained by stochastic simulation techniques deviate substantially from the predictions of conventional population balance. The foregoing problem is considered in this paper in terms of a mean field approximation obtained by applying a first-order closure to an unclosed set of mean field equations presented in Part I. The mean field approximation consists of two mutually coupled partial differential equations featuring (i) the probability distribution for residual supersaturation and (ii) the mean number density of particles for each size and supersaturation from which all average properties and fluctuations can be calculated. The mean field equations have been solved by finite difference methods for (i) crystallization and (ii) precipitation of a metal hydroxide both occurring in a single drop of specified initial supersaturation. The results for the average number of particles, average residual supersaturation, the average size distribution, and fluctuations about the average values have been compared with those obtained by stochastic simulation techniques a

Who reads Precipitation in small systems—II. Mean field equations more effective than population balance?

Author

S. Manjunath; K.S. Gandhi; R. Kumar; Doraiswami Ramkrishna

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0009-2509)

Published

1996

Language

EN

Field

Engineering (Physical Sciences)