The kinetics of fine grinding in an annular ball mill

Orumwense, Osawaru A.

doi:10.1016/0032-5910(92)80070-d

Powder Technology

1992

DOI: 10.1016/0032-5910(92)80070-d

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The kinetics of fine grinding in an annular ball mill

Osawaru A. Orumwense

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Cited by 16 publications

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“…These two concepts have led to establishment of a mathematical model, known as the population balance model, for batch grinding. 5,6 Conventional population balance models are based on the disappearance of larger particles accompanied by reappearance of their mass as new particles at smaller sizes. 1 The population balance model represents a powerful description of the process in industrial comminution machines.…”

mentioning

confidence: 99%

Rod mill kinetics of Egyptian feldspar

Kamal¹,

El-Rahman²

2003

Mineral Processing and Extractive Metallurgy

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mentioning

confidence: 99%

Rod mill kinetics of Egyptian feldspar

Kamal¹,

El-Rahman²

2003

Mineral Processing and Extractive Metallurgy

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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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On the Consequences of Non‐First‐Order Breakage Kinetics in Comminution Processes: Absence of Self‐Similar Size Spectra

Bilgili

2007

Part & Part Syst Charact

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Comminution or size reduction is a commonly used unit operation in a variety of industries including pharmaceuticals. In quantitative analysis of comminution at the process length scale, population balance modeling has been used with an assumption that the breakage rate of particles is first‐order and that the population balance model is linear. For certain forms of the specific breakage rate and breakage distribution functions, a similarity solution to the linear population balance exists, and self‐similarity plots have been used to show its validity in batch comminution processes. On the other hand, ample experimental batch milling data in the literature indicate the inadequacy of the linear theory. In this study, a theoretical investigation has been conducted within the framework of a recently proposed non‐linear theory. The non‐linear theory takes into account phenomenologically the non‐first‐order effects resulting from mechanical multi‐particle interactions. Specifically, the cushioning action of small particles on the coarser ones is considered. It is found that self‐similarity does not exist in the presence of the non‐first‐order breakage kinetics. The present study suggests the use of self‐similarity plots for an approximate assessment of the impact of non‐first‐order kinetics on the shape of the cumulative particle size distribution.

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The kinetics of fine grinding in an annular ball mill

Cited by 16 publications

References 10 publications

Rod mill kinetics of Egyptian feldspar

Rod mill kinetics of Egyptian feldspar

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

On the Consequences of Non‐First‐Order Breakage Kinetics in Comminution Processes: Absence of Self‐Similar Size Spectra

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