The use of the discrete element method and fracture mechanics to improve grinding rate prediction

Bwalya, Murray M.; Moys, M.H.; Hinde, A.L.

doi:10.1016/s0892-6875(01)00051-6

Cited by 22 publications

(7 citation statements)

References 10 publications

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“…Initial DEM studies were primarily qualitative comparisons between simulated and experimentally observed granular motion in a mill, but demonstrated the method's validity . Recently, the method has rapidly developed to relate the milling performance and breakage rate via simulation of particle interactions obtained by DEM . However, there are many issues and caveats in this approach that must be addressed, which will be elaborated below.…”

Section: Introductionmentioning

confidence: 99%

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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Section: Introductionmentioning

confidence: 99%

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

2014

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“…The simplest approaches correlate an experimentally determined specific breakage rate constant to the total or average impact energy associated with collisions of the grinding media (Hoyer, 1999;Kano and Saito, 1998;Kwan et al, 2005;Mori et al, 2004). More advanced studies predict the specific breakage rate constant by correlating the impact energy obtained from DEM to a broken mass of particles which is experimentally determined from particle bed drop-ball tests (Bwalya et al, 2001;Datta and Rajamani, 2002;Wang et al, 2012). Despite these developments, they still do not include any fundamental considerations for particle breakage behavior or utilize any fracture mechanics models to predict the specific breakage rate constant from the micro-dynamic information.…”

Section: Introductionmentioning

confidence: 99%

Insight into first-order breakage kinetics using a particle-scale breakage rate constant

Capece

Bilgili

Davé

2014

Chemical Engineering Science

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“…A related approach was used by Bwalya et al (2001) to predict breakage rates in autogenous grinding. The authors considered the distribution of fracture energies of the particles, described with a modified version of the Weichert (1992) breakage probability function derived from single particle breakage in a drop weight tester and collision energies for short grinding times using 2D DEM.…”

Section: Microscale Pbm Formulations Based On Breakage Probabilitymentioning

confidence: 99%

“…Approaches of King and Bourgeois (1993), Crespo (2011) and Tuzcu and Rajamani (2011) did not account for the fact that particles that do not break in the impacts become progressively weaker, which significantly affects the chances of particle breakage (Bwalya et al, 2001;Tavares, 2009). As such, the model assumes that the fracture energy distribution of particles contained in a given size class remains unchanged as grinding progresses.…”

Section: Microscale Pbm Formulations Based On Breakage Probabilitymentioning

confidence: 99%

“…This assumption is perceived to be valid for dry grinding where internal classification is not as prevalent as in wet grinding. Bwalya et al (2001), on the other hand, assumed that the probability of a particle being involved in a collision in a tumbling mill is a function of particle surface area.…”

Section: Microscale Pbm Formulations Based On Breakage Probabilitymentioning

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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The use of the discrete element method and fracture mechanics to improve grinding rate prediction

Cited by 22 publications

References 10 publications

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

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

Insight into first-order breakage kinetics using a particle-scale breakage rate constant

A Review of Advanced Ball Mill Modelling

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