A population balance model of ball wear in grinding mills: An experimental case study

Bürger, Raimund; Bustamante, Oswaldo; Fulla, M.R.; Rivera, I. E.

doi:10.1016/j.mineng.2018.09.004

“…In this sense, the results shown in Figure 10 are sound and agree with the Bond index trends previously reported for the same samples [43]. Other authors [9,44] also compared the features of other rocks like quartzite and metasandstone through the selection function, α T .…”

Section: Kinetic Parameters (α α T )supporting

confidence: 89%

“…Under the grinding test conditions, the production of fines accelerates with all grinding media tested after 3-4 min, producing a widening of the PSD. It has been established in previous studies that the grinding efficiency is related to ball size selection [42][43][44]. Over time, the metallurgical coke breakage in 4.0 cm balls presents significant variation with undergrinding for 0.5-1 min and overgrinding to grinding time from 3-10 min; 4.00 cm grinding media is perhaps too large, creating voids inside the ball charge and generating less normal forces into particles.…”

Section: Discussionmentioning

confidence: 99%

Grinding and Concentration Technology of Critical Metals

2022

0

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“…Under the grinding test conditions, the production of fines accelerates with all grinding media tested after 3-4 min, producing a widening of the PSD. It has been established in previous studies that the grinding efficiency is related to ball size selection [42][43][44]. Over time, the metallurgical coke breakage in 4.0 cm balls presents significant variation with undergrinding for 0.5-1 min and overgrinding to grinding time from 3-10 min; 4.00 cm grinding media is perhaps too large, creating voids inside the ball charge and generating less normal forces into particles.…”

Section: Discussionmentioning

confidence: 99%

Particle Size Distribution Models for Metallurgical Coke Grinding Products

Colorado-Arango

¹

,

Menéndez-Aguado

²

,

Correa

³

2021

Metals

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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.

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“…Recently Shuhua Liu et al [21] showed that the size distribution of particles of copper tails dust fits the RR and Swebrec models. On the other hand, recent studies related to the ball wear kinetics with the aim of obtaining the ball size distribution, have been addressed in the references [22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Study on alumina ball size distribution in white cement grinding

Rúa

¹

,

Madrid

²

,

Bedoya

³

et al. 2021

DYNA

0

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This paper presents the results of the characterization of alumina ball size distribution in the mill of a crushing and grinding plant. The mill was unloaded and the balls were sieved. Then, the results were adjusted to three kinds of models; two of them are the traditional models of Rosin-Rammler and Gates-Gaudin-Schumann. The third model applied was the Swebrec distribution function, which has been successfully used on fragmented rock size distribution. The best adjustment for the ball size distribution was obtained by the Swebrec function, with a correlation coefficient of 0.9984.

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A population balance model of ball wear in grinding mills: An experimental case study

Cited by 12 publications

References 10 publications

Grinding and Concentration Technology of Critical Metals

Grinding and Concentration Technology of Critical Metals

Particle Size Distribution Models for Metallurgical Coke Grinding Products

Study on alumina ball size distribution in white cement grinding

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