A new approach to the calculation of bond work index for finer samples

Nikolić, Vladimir; Trumić, Milan

doi:10.1016/j.mineng.2021.106858

Cited by 11 publications

(7 citation statements)

References 17 publications

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“…Usually, the trend of growth or decrease of the grindability index (g/rev) in the last three cycles will be reversed (Nikolić & Trumić, 2021). Once the balance is achieved, the grain distribution and classification of the finest material in the sieve (final product of the process) will be carefully examined to provide the 80% through size (P80).…”

Section: Methodsmentioning

confidence: 99%

Prediction of energy consumption in grinding using artificial neural networks to improve the distribution of fragmentation size [Predicción del consumo de energía en la molienda utilizando redes neuronales artificiales para mejorar la distribución del tamaño de la fragmentación]

Anticona Cueva,

Vera Encarnación,

Anticona Cueva

et al. 2024

J. energy environ. sci.

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The study focuses on the prediction of energy consumption in grinding processes using artificial neural networks (ANN). The purpose was to develop a predictive model based on artificial neural networks to estimate energy consumption in grinding and improve the fragmentation size distribution, which is crucial for the efficiency of mining and metallurgical operations. Energy consumption in grinding represents a significant part of operating costs and directly influences the profitability of operations. The ANN was trained from a data set of 126 records, which were divided into 80% for training and 20 % for model testing. The results of this research highlight optimal performance of the predictive model with performance metrics such as Mean Absolute Error (MAE), Mean Square Error (MSE), Root Mean Square Error (RMSE) and Correlation Coefficient (R2), with values of 0.78, 1.39, 1.18 and 0.98, respectively in the estimation of energy consumption in the grinding process. Finally, these results indicate that the ANN achieved an accurate prediction of energy consumption in the grinding process, this will allow better baking in energy optimization.

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Section: Methodsmentioning

confidence: 99%

Prediction of energy consumption in grinding using artificial neural networks to improve the distribution of fragmentation size [Predicción del consumo de energía en la molienda utilizando redes neuronales artificiales para mejorar la distribución del tamaño de la fragmentación]

Anticona Cueva,

Vera Encarnación,

Anticona Cueva

et al. 2024

J. energy environ. sci.

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show abstract

“…The two parameters of brittleness and grindability determine the resistance of raw materials to crushing (Nikolić and Trumić 2021). So far, various methods have been introduced and used to determine the resistance of materials to comminution.…”

Section: Bond Testmentioning

confidence: 99%

“…So far, various methods have been introduced and used to determine the resistance of materials to comminution. Nonetheless the Bond method is still attracted by researchers due to its pragmatic nature (Nikolić and Trumić 2021;Williams et al 2015).…”

Section: Bond Testmentioning

confidence: 99%

“…According to current theories describing the comminution phenomenon, (a) the energy required in this process is proportional to the surface area of the products formed or the inverse of the size of the particles produced (1/d) (Rittingrer's theory); (b) the same relative reduction in particle size requires equal energy or the comminution energy is proportional to the ratio of the particle diameter in the input to the particle diameter in the output product (Kick theory); and (c) the net energy required in comminution is proportional to the total length of new cracks formed in the particles or a function of the inverse square root difference of the particle sizes of the comminuted feed and the product (Bond theory) (Bond 1961;Rowland 2006;Williams et al 2015). Although the results from the application of the first two theories to crusher design are not very realistic (Williams et al 2015), the Bond work index (Wi) can still be used with acceptable confidence to determine crushing energy and to design ball and bar mills (Nikolić and Trumić 2021;Rowland 2006;Williams et al 2015).…”

Section: Bond Testmentioning

confidence: 99%

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Removal of Methylene Blue Dye Using Crushed Walnut Shell Adsorbent –Determining Comminution Energy and Optimal Operational Conditions

Afrozi

Lak

Nezhad

2023

Preprint

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Serious environmental issues might be associated with Methylene Blue(MB) contaminated wastewaters as this synthetic dye is environmentally persistent, toxic, carcinogenic and mutagenic. Crushed-raw Walnut shell(WS) biosorption process provides an effective treatment method. Although with an increase in the specific surface area of the fine adsorbent particles higher efficiency in dye removal could be expected, the comminution energy will simultaneously increase. Consequently, we used a developed Bond-grindability-test, which measures the amount of energy required for comminution, to estimate energy consumption. In addition to adsorbent particle size(course/moderate/fine), two affective parameters of adsorbent to dye ratio and adsorbent dosage, were considered. According to the central composite design-circumscribed, 33 experiments were planned in three groups associated with each size ranges. The results of FTIR spectroscopy confirmed that MB molecules interact with WS functional groups as shifts in the spectrum of treated vs raw WS particles were observed. The Bond-work-index estimated as 564 kWh/t, revealing the standard WS comminution energy. The formation of extended cracks on the fine particles’ surface, due to significant required crushing energy, provided a porous medium for multilayer coatings, validated the compatibility of the Freundlich model for this category. The maximum adsorption efficiency for course particles was over 96% corresponding to 4.61 g/L of WS and 108.58 mg/L of MB. Accordingly, the energy consumption for each mg of adsorbed dye was 7.65 Joules. The removal efficiency of moderate to fine particles depended only on the adsorbent to dye ratio (i.e., 30.5 ~ 34.8 and 31.6 ~ 37.4 g/g, respectively, to achieve maximum MB removal efficiency).

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“…The energy-size relationships in comminution processes have been an object of research since the first industrial revolution [8]. Rittinger [9] proposed the first law of comminution, supposing that the amount of created surface is proportional to the specific energy consumption in grinding operations, as expressed in Equation ( 1):…”

Section: Introductionmentioning

confidence: 99%

Variability Study of Bond Work Index and Grindability Index on Various Critical Metal Ores

García

Oliva

Guasch

et al. 2021

Metals

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It is a well-known fact that the value of the Bond work index (wi) for a given ore varies along with the grinding size. In this study, a variability bysis is carried out with the Bond standard grindability tests on different critical metal ores (W, Ta), ranging from coarse grinding (rod mills) to fine grinding (ball mills). The relationship between wiand grinding size did not show a clear correlation, while the grindability index (gpr) and the grinding size showed a robust correlation, fitting in all cases to a quadratic curve with a very high regression coefficient. This result suggests that, when performing correlation studies among ore grindability and rock mechanics parameters, it is advised to use the grindability index instead of the Bond work index.

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A new approach to the calculation of bond work index for finer samples

Cited by 11 publications

References 17 publications

Prediction of energy consumption in grinding using artificial neural networks to improve the distribution of fragmentation size [Predicción del consumo de energía en la molienda utilizando redes neuronales artificiales para mejorar la distribución del tamaño de la fragmentación]

Prediction of energy consumption in grinding using artificial neural networks to improve the distribution of fragmentation size [Predicción del consumo de energía en la molienda utilizando redes neuronales artificiales para mejorar la distribución del tamaño de la fragmentación]

Removal of Methylene Blue Dye Using Crushed Walnut Shell Adsorbent –Determining Comminution Energy and Optimal Operational Conditions

Variability Study of Bond Work Index and Grindability Index on Various Critical Metal Ores

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