The kinetic population balance model (PBM) is used to predict the particle size distributions of batch ball milling products. However, the rate parameters, as well as the solution of this model, may not be found in the non-first-order breakage region. This study alternatively represents a PBM-coupled simulation algorithm, which resembles a time-implicit or explicit matrix PBM for ball milling. The algorithm simply predicts the progeny size distributions after successive ball-particle impact events occurring in a batch ball mill. Therefore, the algorithm can accurately estimate the progeny size distributions either under the first-order or the non-first-order breakage region. For the purpose of this study, a few case studies were presented to demonstrate the accuracy of the algorithm.
I am the corresponding author of this paper. I have to make a correction to one of the Figures (Figure 1). The respective correction in Figure 1 includes the reversion of the order of "if-else" loops in the algorithm's flowsheet. I already included the corrected figure in the paper, and then submitted the revised paper to the Editorial Board as well as the Sciforum organization. I hope that the board will replace the old paper with the revised one so that you can reach the latter.
I would like to apologize to the respected editorial board and the audience for any inconvenience.
Sincerely,
Dr. Mahmut Camalan
Corresponding author
The revised paper is uploaded to the conference.
Sincerely,
Mahmut
