Applications of a new model-based method of ball mill simulation and design

Lira, Belarmino Barbosa; Kavetsky, A.

doi:10.1016/0892-6875(90)90088-s

Cited by 10 publications

(3 citation statements)

References 3 publications

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“…In particular, the PBMs with different S i models predict similar breakage distribution/mechanisms of particles. While this is intuitively expected, the optimization-based back calculation is known to be notoriously plagued with interactions between S i and B ij functions in parameter estimation, which can lead to inaccurate estimations when a local optimization scheme is used [ 59 ]. The small variation of the a 1 , and thus B ij , for different S i models used in the PBM could be attributed to the use of a global optimization scheme, giving further credence to the methods used.…”

Section: Resultsmentioning

confidence: 99%

“…Initially introduced by Whiten [ 55 ], the cell-based RTD model has been used as an alternative to the convection–dispersion model [ 33 , 47 , 49 , 56 , 57 , 58 , 59 ]. The mill is conceptualized as an assembly of n well-mixed cells with recirculation between them (internal recirculation) superposed on the recirculating bulk flow of the suspension.…”

Section: Theoreticalmentioning

confidence: 99%

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A Novel PBM for Nanomilling of Drugs in a Recirculating Wet Stirred Media Mill: Impacts of Batch Size, Flow Rate, and Back-Mixing

Heidari,

Muanpaopong,

Guner

et al. 2024

Pharmaceutics

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We examined the evolution of fenofibrate (FNB, drug) particle size distribution (PSD) during the production of nanosuspensions via wet stirred media milling (WSMM) with a cell-based population balance model (PBM). Our objective was to elucidate the potential impacts of batch size, suspension volumetric flow rate, and imperfect mixing in a recirculating WSMM. Various specific breakage rate functions were fitted to experimental PSD data at baseline conditions assuming perfect mixing. Then, the best function was used to simulate the PSD evolution at various batch sizes and flow rates to validate the model. A novel function, which is a product of power–law and logistic functions, fitted the evolution the best, signifying the existence of a transition particle size commensurate with a grinding limit. Although larger batches yielded coarser and wider PSDs, the suspensions had identical PSDs when milled for the same effective milling time. The flow rate had an insignificant influence on the PSD. Furthermore, the imperfect mixing in the mill chamber was simulated by considering more than one cell and different back-mixing flow ratios. The effects were weak and restricted to the first few turnovers. These insights contribute to our understanding of recirculating WSMM, providing valuable guidance for process development.

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Section: Resultsmentioning

confidence: 99%

Section: Theoreticalmentioning

confidence: 99%

A Novel PBM for Nanomilling of Drugs in a Recirculating Wet Stirred Media Mill: Impacts of Batch Size, Flow Rate, and Back-Mixing

Heidari,

Muanpaopong,

Guner

et al. 2024

Pharmaceutics

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“…But laboratory mills of non-standard dimensions are more common in several mining units; therefore, some concentrator plants cannot estimate the standard Bond´s Work Index. Some authors have proposed the simulation approach in determining the work index (Lira et al, 1990;Tavares et al, 2007 andMenéndez-Aguado et al, 2013). In the present article, two grinding test strategies where employed: the standard procedure proposed by Bond (1961) and the reduced procedure proposed by Ahmadi et al (2009).…”

Section: 𝑚̇mentioning

confidence: 99%

Bond´s work index estimation using non-standard ball mills

Arellano-Piña,

Sanchez-Ramirez,

Pérez-Garibay

et al. 2023

Physicochem. Probl. Miner. Process.

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Ore concentrators seek the stability of processes by feeding blends of rocks with average hardness and ore content. Therefore, large amounts of samples must be characterized in a short time. The Bond Work Index (Wi) is a common technique for the estimation of hardness and energy requirement for comminution using ball mills. However, this technique is time-consuming (close to 5 hours) and liable to experimental errors. This work contributes to obtaining new models for rapid Bond Work Index estimation using non-standard dimensions mills. This was done by proposing grinding tests using four types of ores and four mills of different dimensions, including the standard Bond ball mill (BBM). For all tests it was kept constant: (a) critical speed (91%), and (b) mill charge by volume (10.5%), varying the amount of fresh feed according to its density. The results showed that using the non-standard mills (between 20 and 35 cm in diameter), the Bond´s model constants (α=0.23; β= 0.82, and γ = 44.5), are unable to predict the Work Index properly. Therefore, these constants must be recalculated using linear models based on mill diameter. With the models proposed for α, β, and γ, the Bond Work Index (kWh/t) can be rapidly estimated (less than 2 hours) and show a high accuracy for mills of non-standard dimensions (R<sup>2</sup>= 0.96).

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DEM-PBM approach to predicting particle size distribution in tumbling mills

Pérez-Alonso

Delgadillo

2013

Mining, Metallurgy & Exploration

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Applications of a new model-based method of ball mill simulation and design

Cited by 10 publications

References 3 publications

A Novel PBM for Nanomilling of Drugs in a Recirculating Wet Stirred Media Mill: Impacts of Batch Size, Flow Rate, and Back-Mixing

A Novel PBM for Nanomilling of Drugs in a Recirculating Wet Stirred Media Mill: Impacts of Batch Size, Flow Rate, and Back-Mixing

Bond´s work index estimation using non-standard ball mills

DEM-PBM approach to predicting particle size distribution in tumbling mills

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