Modeling breakage rates of coarse particles in ball mills

Tavares, Luís Marcelo; Carvalho, Rodrigo M. de

doi:10.1016/j.mineng.2009.03.015

Cited by 94 publications

(37 citation statements)

References 11 publications

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“…Different models (Tavares and King, 1998;Vogel and Peukert, 2004;Rozenblat et al, 2012) have been proposed to describe this variation. Several authors (King and Bourgeois, 1993;Tavares and Carvalho, 2009;Crespo, 2011) used the lognormal distribution (Eqn. 8) and the relationship describing the variation of the median fracture energy with size given by Eqn.…”

Section: Fracture Probability Distributionsmentioning

confidence: 99%

“…Several researchers (Datta and Rajamani, 2002;Tavares and Carvalho, 2009;Capece et al, 2014) use the dissipated energies as the basis of their simulations. Using the model approach and data by Datta and Rajamani (2002), Wang et al (2012) concluded that the kinetic energies in the collision were the type of information that could most reliably predict the batch mill performance.…”

Section: Collision Energiesmentioning

confidence: 99%

“…2 in the case of the batch mill, with the only difference that breakage and selection functions are calculated on the basis of data from DEM simulations. Other approaches (King and Bourgeois, 1993;Tavares and Carvalho, 2009) use a different formulation of the population balance model equations, called microscale population balance model, since breakage mechanisms and collision energy spectra are convoluted in the equations.…”

Section: Othermentioning

confidence: 99%

“…Whereas several follow the definition used in all traditional population balance model formulations of breakage as departure from the original size range that contains the particle (Datta and Rajamani, 2002;Capece et al, 2014), other formulations (King and Bourgeois, 1993;Tavares and Carvalho, 2009) consider breakage as the loss of a substantial part of the particle weight, taken arbitrarily as 10 % (Dan and Schubert, 1990). As such, it accounts for the fact that when a particle suffers body breakage, fragments from it can remain in the original size range.…”

Section: Othermentioning

confidence: 99%

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A Review of Advanced Ball Mill Modelling

Tavares¹

2017

KONA

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In the early 1990s the discrete element method (DEM) was used for the first time to simulate media motion in tumbling mills. Although it has been over a quarter of a century since this tool was first used to predict media motion it has not yet reached maturity to be used in predicting product size distribution and throughput of tumbling mills. However, there has not been shortage of attempts to do so. The literature is relatively vast in the topic and researchers who embark in this area of research will find it difficult to understand the current status of development and also the similarities and fundamental differences that exist amongst the various approaches that have been proposed and pursued over the years. The paper reviews the literature on the application of models based on distributed collision energy information to predict size reduction in tumbling mills, in particular ball mills, analyzing critically various approaches proposed, their limitations and achievements, identifying areas that still require development until the technology becomes ready for being used for optimizing and designing ball mills. Finally, the advances recently accomplished on the approach proposed by the author and his co-workers are then reviewed in greater detail.

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Section: Fracture Probability Distributionsmentioning

confidence: 99%

Section: Collision Energiesmentioning

confidence: 99%

Section: Othermentioning

confidence: 99%

Section: Othermentioning

confidence: 99%

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A Review of Advanced Ball Mill Modelling

Tavares¹

2017

KONA

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“…This information is used to set optimal operation points (Kwade and Schwedes, 2007;Breitung-Faes and Kwade, 2013), compare and design equipment or to model the grinding process with mechanistic models (see e.g. Tavares and de Carvalho, 2009;de Carvalho and Tavares, 2009;Powell, 2006;Powell et al, 2008). Next to experimental investigations (see e.g.…”

Section: Introductionmentioning

confidence: 99%

Analysis and modelling of bead contacts in wet-operating stirred media and planetary ball mills with CFD–DEM simulations

Beinert

Fragnière

Schilde

et al. 2015

Chemical Engineering Science

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Formulation of a physically motivated specific breakage rate parameter for ball milling via the discrete element method

2014

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A physically based specific breakage rate parameter of the population balance model for batch dry‐milling is formulated, which explicitly accounts for the impact energy distribution calculated by the discrete element method (DEM). Preliminary DEM simulations of particle impact tests were first performed, which concluded that dissipation energy should be used in contrast to collision energy to accurately define the impact energy distribution. Subsequently, DEM simulations of the motion of spheres representing silica glass beads in a ball mill were performed to determine the specific breakage rate parameter, which was in good agreement with those found experimentally. An analysis of the impact energy distribution, which was only possible within context of the physically motivated specific breakage rate parameter, emphasized the importance of accounting for a threshold impact energy. Without proper assessment of the impact energy distribution, DEM simulations may lead to an erroneous evaluation of milling experiments. © 2014 American Institute of Chemical Engineers AIChE J, 60: 2404–2415, 2014

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Modeling breakage rates of coarse particles in ball mills

Cited by 94 publications

References 11 publications

A Review of Advanced Ball Mill Modelling

A Review of Advanced Ball Mill Modelling

Analysis and modelling of bead contacts in wet-operating stirred media and planetary ball mills with CFD–DEM simulations

Formulation of a physically motivated specific breakage rate parameter for ball milling via the discrete element method

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