Self-similarity law of particle size distribution and energy law in size reduction of solids

Moyuru Ochiai, Riko Ozao, Yoshitake Yamazaki and Arno Holz

Physica A: Statistical Mechanics and its Applications, 1992, vol. 191, issue 1, 295-300

Abstract: The concept of fractal dimension and scaling is used to determine the particle size distribution for ground powder and a generalized energy law for size reduction of solids. Based on the theory of stochastic processes, a master equation for the size distribution under a sieve is introduced. For the case that the functional forms of the transition probabilities are given, the solution is analutically obtained. Introducing a scaling concept and a characteristic size constant which measures the particle size distribution of the ground product, we present a power law for the distribution function. We, furthermore, present a generalized fractal energy law which has an intimate relation to the size distribution through a fractal specific surface area.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:191:y:1992:i:1:p:295-300

DOI: 10.1016/0378-4371(92)90541-W

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