Method and system for evaluating fractal dimension of particle matter in dispersing system

Abstract

Disclosed in the present invention are a method and system for evaluating a fractal dimension of particle matter in a dispersing system. The method includes: setting that distribution of a particle radius r of particle matter in a dispersing system obeys logarithmic normal distribution lnr˜N(μ, σ2) with an expectation μ and a standard deviation σ, and determining the value of the standard deviation σ; and evaluating a fractal dimension Dƒ of the dispersing system on the basis of the standard deviation σ, an evaluation formula being: Dƒ=1/σ. The present invention provides the formula for evaluating the fractal dimension of particle distribution in a dispersing system. When the formula is used to calculate a fractal dimension, only particle radius distribution of particle matter needs to be measured, and no geometrical morphology feature parameter of the particle matter needs to be measured. Factors such as particle morphology and the like do not affect the fractal dimension. Therefore, the measurement method of the present invention can reduce an error resulting from experimental measurements, can acquire a fractal dimension of particle matter quickly and efficiently, and is especially adapted to data analysis of a dispersion system and a particle swarm.

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