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Current Nanoscience

Editor-in-Chief

ISSN (Print): 1573-4137
ISSN (Online): 1875-6786

Multi Fractal Process of Powder Particle Breakage and Aggregation

Author(s): Hongtao Liu, Jing Jin, Shoufan Cao, Jiping Gao and Luping Wang

Volume 9, Issue 5, 2013

Page: [662 - 666] Pages: 5

DOI: 10.2174/15734137113099990089

Price: $65

Abstract

According to the self-similarity of powder particle breakage, multi fractal model which could simulate the process of powder particle breakage and aggregation has been built and also has been discussed the simulation process by using methods of number theory and matrix. The comparative analysis of the simulation results and the statistical results, shows that the multi fractal model can be used to accurately describe the breaking process and distribution of powder particles and may have the duality of static state (contribution of powder particles) and dynamic state (fragmentizing course). According to the fractal dimension obtained from the expression of fractal dimension have the uniqueness, which show multiple fractal about process of powder particle breakage and aggregation have the uniqueness. Matrix model based on multi fractal parameters could describe and forecast the breaking process and distribution of powder particles, and is expected to be insensitive to resolution and sampling length of measuring instrument, so this model is more reasonable and effective than the traditional model based on statistical analysis.

Keywords: Fractal spectrum, multi fractal, particle distribution, powder.


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