Particle Size Distribution Models for Metallurgical Coke Grinding Products

Six different particle size distribution (Gates–Gaudin–Schuhmann (GGS), Rosin–Rammler (RR), Lognormal, Normal, Gamma, and Swebrec) models were compared under different metallurgical coke grinding conditions (ball size and grinding time). Adjusted R2, Akaike information criterion (AIC), and the root...

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Bibliographic Details
Published in:Metals (Basel ) 2021-08, Vol.11 (8), p.1288
Main Authors: Colorado-Arango, Laura, Menéndez-Aguado, Juan M., Osorio-Correa, Adriana
Format: Article
Language:English
Subjects:
Coke
comminution
Criteria
Goodness of fit
Grinding
Mathematical models
Metallurgical coke
Parameters
Particle size
Particle size distribution
Permeability
Raw materials
Root-mean-square errors
Rosin
Standard deviation
Steel production
Time dependence
Ultrafines
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Summary:Six different particle size distribution (Gates–Gaudin–Schuhmann (GGS), Rosin–Rammler (RR), Lognormal, Normal, Gamma, and Swebrec) models were compared under different metallurgical coke grinding conditions (ball size and grinding time). Adjusted R2, Akaike information criterion (AIC), and the root mean of square error (RMSE) were employed as comparison criteria. Swebrec and RR presented superior comparison criteria with the higher goodness-of-fit and the lower AIC and RMSE, containing the minimum variance values among data. The worst model fitting was GGS, with the poorest comparison criteria and a wider results variation. The undulation Swebrec parameter was ball size and grinding time-dependent, considering greater b values (b > 3) at longer grinding times. The RR α parameter does not exhibit a defined tendency related to grinding conditions, while the k parameter presents smaller values at longer grinding times. Both models depend on metallurgical coke grinding conditions and are hence an indication of the grinding behaviour. Finally, oversize and ultrafine particles are found with ball sizes of 4.0 cm according to grinding time. The ball size of 2.54 cm shows slight changes in particle median diameter over time, while 3.0 cm ball size requires more grinding time to reduce metallurgical coke particles.
ISSN:2075-4701
2075-4701
DOI:10.3390/met11081288