Generation Of Fractal Models For Characterization Of Pulverized Materials

Fractal theory was horn in the mid-1970s. Since then, its application has been spreading day by day, from mathematics and geology to areas such as geophysics, physics and material sciences. In this paper, fractal models are developed to characterize particle size distribution and surface area. Theoretical formulas are derived for the computation of fractal dimensions D (size) and D[s] (surface area). The models developed are applied using experimental data of particle size distribution and surface area obtained from the Microtrac Particle Size Analyzer for dust processed by several size reduction devices. The theoretical models and the experimental data are found in good agreement. The fractal dimensions obtained are D = 1.350 to 1.770 and D[s] = 2.058 to 2.584 for fine coal dust particles (< 15 µm) produced by various size reduction mechanisms. The physical meaning of these fractal dimensions is also related to the dust generation processes.