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

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 a...

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Main Authors: José Delgado, Freddy A. Lucay, Felipe D. Sepúlveda
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Minerals
Subjects:
Online Access:https://www.mdpi.com/2075-163X/11/8/862
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author José Delgado
Freddy A. Lucay
Felipe D. Sepúlveda
author_facet José Delgado
Freddy A. Lucay
Felipe D. Sepúlveda
author_sort José Delgado
collection DOAJ
description 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.
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spelling doaj.art-4af6a6d0748545bda1948bf011f056432023-11-22T08:50:03ZengMDPI AGMinerals2075-163X2021-08-0111886210.3390/min11080862Experimental Uncertainty Analysis for the Particle Size Distribution for Better Understanding of Batch Grinding ProcessJosé Delgado0Freddy A. Lucay1Felipe D. Sepúlveda2Departamento de Ingeniería en Minas, Universidad de Antofagasta, Antofagasta 1240000, ChileEscuela de Ingeniería Química, Pontificia Universidad Católica de Valparaíso, Valparaíso 2340000, ChileDepartamento de Ingeniería en Minas, Universidad de Antofagasta, Antofagasta 1240000, ChileUncertainty 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.https://www.mdpi.com/2075-163X/11/8/862experimental uncertainty analysisbatch grinding
spellingShingle José Delgado
Freddy A. Lucay
Felipe D. Sepúlveda
Experimental Uncertainty Analysis for the Particle Size Distribution for Better Understanding of Batch Grinding Process
Minerals
experimental uncertainty analysis
batch grinding
title Experimental Uncertainty Analysis for the Particle Size Distribution for Better Understanding of Batch Grinding Process
title_full Experimental Uncertainty Analysis for the Particle Size Distribution for Better Understanding of Batch Grinding Process
title_fullStr Experimental Uncertainty Analysis for the Particle Size Distribution for Better Understanding of Batch Grinding Process
title_full_unstemmed Experimental Uncertainty Analysis for the Particle Size Distribution for Better Understanding of Batch Grinding Process
title_short Experimental Uncertainty Analysis for the Particle Size Distribution for Better Understanding of Batch Grinding Process
title_sort experimental uncertainty analysis for the particle size distribution for better understanding of batch grinding process
topic experimental uncertainty analysis
batch grinding
url https://www.mdpi.com/2075-163X/11/8/862
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