An attainable region analysis of the effect of ball size on milling

Katubilwa, François M.; Moys, M.H.; Glasser, David; Hildebrandt, Diane

doi:10.1016/j.powtec.2011.02.009

Cited by 38 publications

(15 citation statements)

References 14 publications

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“…The mechanistic approach includes the matrix model, which considers grinding as a series of breakage events and the kinetic model, namely the population balance model, which considers grinding as a continuous process. Other researchers focused their efforts on the advantages of the Attainable Region (AR) approach [10][11][12], while recently Shi and Xie used the t 10 procedure to simulate batch [13] and continuous [14] grinding in a ball mill.…”

Section: Introductionmentioning

confidence: 99%

Improved Modeling of the Grinding Process through the Combined Use of Matrix and Population Balance Models

Petrakis

Komnitsas

2017

Minerals

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Abstract:The mechanistic approach has proven so far to be flexible and successful for simulation of the grinding process. The basic idea underlying mechanistic models, namely the matrix and population balance models, is based on the identification of natural events during grinding. Since each model has its own capabilities and limitations, their combined use may offer additional advantages on this aspect. In this study, the matrix model and the selection function, namely the probability of breakage of the population balance model, were combined through a MATLAB code to predict the size distribution of the grinding products of quartz, marble, quartzite and metasandstone. The modeling results were in very good agreement with the particle size distributions obtained after grinding the feeds in a ball mill.

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Section: Introductionmentioning

confidence: 99%

Improved Modeling of the Grinding Process through the Combined Use of Matrix and Population Balance Models

Petrakis

Komnitsas

2017

Minerals

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“…To effectively apply this graphical analysis technique to optimise various operating conditions of comminution circuits and unlock its potential, several researchers have coupled it with the population balance model [7,9,19,20,22], with insightful information drawn from the work. The population balance model is a size-mass balance that takes into account the selection and breakage functions resulting in the full description of the grinding process.…”

Section: The Ar Application In Comminutionmentioning

confidence: 99%

“…They found that the AR could be used to determine optimal policies to reduce milling processing time. Katubilwa et al [9] also used the AR to analyse the effect of ball size on milling, based on the experimental data they had collected from milling coal. They confirmed the generally accepted trend that grinding balls of small diameter tended to promote the production of fine particles at a higher rate than can be achieved by large balls.…”

Section: Introductionmentioning

confidence: 99%

A Review of the Milestones Reached by the Attainable Region Optimisation Technique in Particle Size Reduction

Chimwani

2021

Minerals

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The attainable region (AR) is an optimization method adopted for use in comminution to achieve different objective functions, which all converge to optimising the production of the desired particle size distributions for downstream processes. The technique has so far mostly been used to optimise the breakage of particles in tumbling mills. It achieved the desired purpose by unveiling all possible outcomes derived from a combination of operational parameters that are bound by trajectories showing the limitations of a system. The technique has given the scientific community lenses to see the behaviour of different parameters in ball mills otherwise known as the black boxes due to their concealing nature. Since its inception, the AR technique has been applied to data obtained from the laboratory tests and simulated industrial mills and the results sometimes contradict or confirm the conventional milling practices in the industry. This makes the already conservative mining industry sceptical about its adoption. This review thus assesses the milestone covered as far as the AR development in comminution is concerned. It also helps to clarify the sources of the discrepancies between the AR results and the conventional knowledge concerning the optimisation of ball mill operational parameters.

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“…This approach owes its origins to the field of chemical reaction engineering where Hildebrandt and Glasser (1990) tested it in choosing optimal reactor configurations. Over the years, different researchers (Katubilwa et al 2011;Danha et al 2015;Hlabangana et al 2018) have applied this optimization method on their laboratory scale data with the aim of either minimizing an experimental manipulated variable or maximizing an associated process variable. Since one of the objectives of operating any process is to make profit, the AR technique assists in this regard by way of specifying optimal experimental parameters that will result in either a maximum or minimum condition of the objective function.…”

Section: The Attainable Region Approachmentioning

confidence: 99%

Optimization of the Pyrolysis Oil Fraction: An Attainable Region Approach

et al. 2018

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In this research, we focused on the application of the attainable region method as an optimization technique that has never before been used in the field of waste management, specifically in optimising the pyrolysis oil fraction from plastic waste. Experimental results obtained from this investigation showed that the optimum yield of the oil fraction from the Attainable Region (A.R) plot was found to be 95%, using a pyrolysis temperature of 450°C and after a residence time of 2 hrs. Within the conditions of experimental investigation, it was also determined that the optimum conversion attainable is 70% and this was achieved using a pyrolysis temperature of 450°C and a residence time of 2 hrs.

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An attainable region analysis of the effect of ball size on milling

Cited by 38 publications

References 14 publications

Improved Modeling of the Grinding Process through the Combined Use of Matrix and Population Balance Models

Improved Modeling of the Grinding Process through the Combined Use of Matrix and Population Balance Models

A Review of the Milestones Reached by the Attainable Region Optimisation Technique in Particle Size Reduction

Optimization of the Pyrolysis Oil Fraction: An Attainable Region Approach

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