Computation of fractal dimension and power draw of regrinding depending on particle size distribution

Iman Moradi; Ali Akbar Abdollahzadeh; Mehdi Irannajad

doi:10.1038/s41598-025-98950-9

Computation of fractal dimension and power draw of regrinding depending on particle size distribution

Sci Rep. 2025 Apr 23;15(1):14095. doi: 10.1038/s41598-025-98950-9.

Authors

Iman Moradi¹, Ali Akbar Abdollahzadeh², Mehdi Irannajad¹

Affiliations

¹ Department of Mining Engineering, Amirkabir University of Technology (Tehran Polytechnique), Tehran, Iran.
² Department of Mining Engineering, Amirkabir University of Technology (Tehran Polytechnique), Tehran, Iran. abdzad@aut.ac.ir.

Abstract

This article uses particle size distribution to examine the fractal dimension and power draw of grinding. The tailings from dry magnetic separators, which are fed into the regrinding mill of the Gol Gohar iron ore mine, were used as the sample under study. The size of the balls, the filling particles, and the fractional ball filling have been studied as input variables, with the response variables being the fractal dimension and power draw. The results demonstrate that increasing energy usage does not increase the fractal dimension. Conversely, a direct relationship was shown between the fractal dimension and the quantity of fine particles. The self-similarity principle of fractal geometry can be used to predict the repeated process that results in variations in power draw over time. This might be the start of numerous studies that foresee the rising power draw peaks and reduce their duration by adjusting the effective parameters.

Keywords: Ball mill; Fractal; Grinding; Particle size distribution; Power draw.