Effect of Solid Concentration on Particle Size Distribution and Grinding Kinetics in Stirred Mills

Author:

Guo Wang12,Guo Keqi12ORCID

Affiliation:

1. National Engineering Research Center of Coal Preparation and Purification, China University of Mining and Technology, Xuzhou 221116, China

2. State Key Laboratory of Coking Coal Resources Green Exploitation, China University of Mining and Technology, Xuzhou 221116, China

Abstract

In this study, the evolution behavior of the particle size distribution during the grinding process was examined with fractal theory. According to the distribution index k of the Rosin–Rammler–Benne model, the relationship between the fractal dimension D of the fractal theory and the distribution index k is discussed. The fractal dimension D was used to evaluate the uniformity of the particle size distribution of the grinding product. In addition, the population balance model was used to simulate the breakage behavior of each size interval. The result indicates that the non-first-order model presented a better fitting performance in the breakage behavior of the coarse size and the desired size when compared with the other type of model. It can be found that the breakage rate increased with the solid concentration. However, the breakage distribution function is independent of the solid concentration in this study. These results suggest that the effect of the solid concentration on the fraction of the coarse size broken into the desired size was not significant. Furthermore, the simulated data are discussed and analyzed with the attainable region method as well as the difference in the change rate of the desired size and the overgrinding size. It can be found that to produce a higher fraction of the desired size in the grinding products, the residence time of the material in the mill needs be shortened with a higher solid concentration.

Funder

National Natural Science Foundation of China

Publisher

MDPI AG

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