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.
Current Nanoscience
Title:Multi Fractal Process of Powder Particle Breakage and Aggregation
Volume: 9 Issue: 5
Author(s): Hongtao Liu, Jing Jin, Shoufan Cao, Jiping Gao and Luping Wang
Affiliation:
Keywords: Fractal spectrum, multi fractal, particle distribution, powder.
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.
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Cite this article as:
Liu Hongtao, Jin Jing, Cao Shoufan, Gao Jiping and Wang Luping, Multi Fractal Process of Powder Particle Breakage and Aggregation, Current Nanoscience 2013; 9 (5) . https://dx.doi.org/10.2174/15734137113099990089
DOI https://dx.doi.org/10.2174/15734137113099990089 |
Print ISSN 1573-4137 |
Publisher Name Bentham Science Publisher |
Online ISSN 1875-6786 |
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