Pulverization Kinetics in a Vibrational Mill

The grinding of material in a vibrational mill is considered. Grinding is regarded as a random process consisting of a series of uniform events. The process is assumed to be steady, simple, and ordinary. We interpret grinding in a vibrational mill as a random Markov process. The calculation is based...

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Bibliographic Details
Published in:Russian engineering research 2023-09, Vol.43 (9), p.1126-1128
Main Authors: Antsiferov, S. I., Bogdanov, V. S., Bogdanov, N. E., Voronov, V. P., Sychev, E. A.
Format: Article
Language:English
Subjects:
Engineering
Engineering Design
Kinetic equations
Kinetics
Markov processes
Mathematical analysis
Random processes
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Summary:The grinding of material in a vibrational mill is considered. Grinding is regarded as a random process consisting of a series of uniform events. The process is assumed to be steady, simple, and ordinary. We interpret grinding in a vibrational mill as a random Markov process. The calculation is based on the Kolmogorov equation. The motion of the grinding bodies in the mill is assumed to be accompanied by simultaneous interaction with all the particles of the material to be ground. A kinetic equation is obtained for the grinding process. This equation permits calculation of the particle size at any time on the basis of its initial size. The calculation of the grinding kinetics is illustrated by an example, and the calculation results are analyzed.
ISSN:1068-798X
1934-8088
DOI:10.3103/S1068798X23090046