An analysis of fine dry grinding in ball mills

Austin, L.G.; Bagga, Prashant J.

doi:10.1016/0032-5910(81)87014-3

Cited by 145 publications

(46 citation statements)

References 6 publications

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“…A l value of 6 was used to make smaller particles have a stronger influence on the specific breakage rate of class i than coarser particles in classes q > i. This is based on batch milling data [10,11,14,18,19], which suggest that the accumulation of fine particles or purposeful addition of them has a significant acceleration or deceleration effect on the breakage rate.…”

Section: Numerical Simulations and Discussionmentioning

confidence: 99%

“…To this end, we specifically consider here the slowing-down phenomenon (deceleration) in dry milling processes. The slowing-down originates from the cushioning action of small particles on relatively coarse particles during dry batch milling [10,11]. The material to be ground is assumed to be homogeneous.…”

Section: Numerical Simulations and Discussionmentioning

confidence: 99%

“…The functional a[ ] generates a function of size x and time t. Hence, it is, in general, different from a function that depends on the moment(s) of a size distribution, which are simply constants at a given time. Unlike the decomposition of the form S(x, t) = X(x)T(t) [10,11,20], the functional decomposition represents non-linear breakage kinetics explicitly and thoroughly. Observed non-first-order breakage rates may originate from multi-particle interactions, and F[ ] has been introduced here to explain them phenomenologically.…”

Section: Mathematical Formulationmentioning

confidence: 98%

“…In the majority of the cases, however, the temporally changing particle population and interactions among particles of all sizes have significant effects on the powder-slurry rheology and flow field, as well as force transmission among particles, which in turn affect the specific breakage rate [10±19]. For batch milling processes, time-dependence was introduced to the specific breakage rate function [10,11,20] in an attempt to explain some of the aforementioned non-first-order effects. Although this approach was successfully applied to some data, a comprehensive analysis [21±25] of the milling data in literature suggests that it may not explicitly and thoroughly explain complex breakage kinetics observed in many milling systems (see, e.g., [14±17]).…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Numerical Simulation of Open-Circuit Continuous Mills Using a Non-Linear Population Balance Framework: Incorporation of Non-First-Order Effects

Bilgili

Scarlett²

2005

Chem. Eng. Technol.

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Population balance modeling has been used as a tool for simulating, optimizing, and designing various particulate processes, including milling. A fundamental tenet of the traditional models for milling processes is the first-order breakage kinetics. Ample data obtained from batch milling studies show that this assumption is not necessarily valid for certain milling systems. In the present theoretical investigation, an attempt has been made to incorporate these experimentally observed non-first-order effects into continuous mill models within the context of a novel non-linear population balance framework. In view of two idealized flow regimes, i.e., perfect mixing and plug-flow, continuous mills operating in the open-circuit mode are numerically simulated. The simulations indicate that not only does the product size distribution depend on the degree of mixedness in a continuous mill, but also on the non-first-order effects arising from multi-particle interactions.

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Section: Numerical Simulations and Discussionmentioning

confidence: 99%

Section: Numerical Simulations and Discussionmentioning

confidence: 99%

Section: Mathematical Formulationmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Numerical Simulation of Open-Circuit Continuous Mills Using a Non-Linear Population Balance Framework: Incorporation of Non-First-Order Effects

Bilgili

Scarlett²

2005

Chem. Eng. Technol.

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“…The concept of the selection function and the breakage distribution function make it possible to express the population balance of batch grinding [1,2]:…”

Section: Introductionmentioning

confidence: 99%

Batch Grinding in Laboratory Ball Mills: Selection Function

Matijašić

Glasnović

2009

Chem Eng & Technol

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The selection functions and the breakage distribution functions are based on the experimentally-determined particle size distribution on the basis of comminution of one size fraction particles. Therefore, to obtain a clear picture of the product properties during comminution of the "real" polydisperse sample, a number of experiments are needed. This work introduces the tested methodology for the selection function determination based on the starting and maximal values of the selection function. The principle was tested on the planetary ball mill and the horizontal laboratory ball mill, and according to the results obtained, it can be concluded that the proposed methodology can be useful for the evaluation of the selection function during batch comminution in different mills.

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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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An analysis of fine dry grinding in ball mills

Cited by 145 publications

References 6 publications

Numerical Simulation of Open-Circuit Continuous Mills Using a Non-Linear Population Balance Framework: Incorporation of Non-First-Order Effects

Numerical Simulation of Open-Circuit Continuous Mills Using a Non-Linear Population Balance Framework: Incorporation of Non-First-Order Effects

Batch Grinding in Laboratory Ball Mills: Selection Function

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

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