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Article

Experimental Uncertainty Analysis for the Particle Size Distribution for Better Understanding of Batch Grinding Process

1
Departamento de Ingeniería en Minas, Universidad de Antofagasta, Antofagasta 1240000, Chile
2
Escuela de Ingeniería Química, Pontificia Universidad Católica de Valparaíso, Valparaíso 2340000, Chile
*
Author to whom correspondence should be addressed.
Academic Editor: Chiharu Tokoro
Minerals 2021, 11(8), 862; https://doi.org/10.3390/min11080862
Received: 10 July 2021 / Revised: 5 August 2021 / Accepted: 6 August 2021 / Published: 10 August 2021
Uncertainty in industrial processes is very common, but it is particularly high in the grinding process (GP), due to the set of interacting operating/design parameters. This uncertainty can be evaluated in different ways, but, without a doubt, one of the most important parameters that characterise all GPs is the particle size distribution (PSD). However, is the PSD a good way to quantify the uncertainty in the milling process? This is the question we attempt to answer in this paper. To do so, we use 10 experimental grinding repetitions, 3 grinding times, and 14 Tyler meshes (more than 400 experimental results). The most relevant results were compared for the weight percentage for each size (WPES), cumulative weight undersize (CWU), or the use of particle size distribution models (PSDM), in terms of continuous changes in statistical parameters in WPES for different grinding times. The probability distribution was found to be changeable when reporting the results of WPES/CWU/PSDM, we detected the over-/under-estimation of uncertainty when using WPES/CWU, and variations in the relationships between sizes were observed when using WPES/CWU. Finally, our conclusion was that the way in which the data are analysed is not trivial, due to the possible deviations that may occur in the uncertainty process. View Full-Text
Keywords: experimental uncertainty analysis; batch grinding experimental uncertainty analysis; batch grinding
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MDPI and ACS Style

Delgado, J.; Lucay, F.A.; Sepúlveda, F.D. Experimental Uncertainty Analysis for the Particle Size Distribution for Better Understanding of Batch Grinding Process. Minerals 2021, 11, 862. https://doi.org/10.3390/min11080862

AMA Style

Delgado J, Lucay FA, Sepúlveda FD. Experimental Uncertainty Analysis for the Particle Size Distribution for Better Understanding of Batch Grinding Process. Minerals. 2021; 11(8):862. https://doi.org/10.3390/min11080862

Chicago/Turabian Style

Delgado, José, Freddy A. Lucay, and Felipe D. Sepúlveda 2021. "Experimental Uncertainty Analysis for the Particle Size Distribution for Better Understanding of Batch Grinding Process" Minerals 11, no. 8: 862. https://doi.org/10.3390/min11080862

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