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

Author

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  • Ochiai, Moyuru
  • Ozao, Riko
  • Yamazaki, Yoshitake
  • Holz, Arno

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.

Suggested Citation

  • Ochiai, Moyuru & Ozao, Riko & Yamazaki, Yoshitake & Holz, Arno, 1992. "Self-similarity law of particle size distribution and energy law in size reduction of solids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 295-300.
    • Handle: RePEc:eee:phsmap:v:191:y:1992:i:1:p:295-300
    DOI: 10.1016/0378-4371(92)90541-W
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