Determination of Length of Individual Pellets and Pellets’ Lengths Distribution

A form and dimensions of fuel particles influence the intensity of their burning and approaches to the mathematic description of the process. Known methods do not allow correctly measuring all pellets’ lengths and describing pellets’ lengths distribution. The purpose of the study is to substantiate...

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Main Author: Mykola Zhovmir
Format: Article
Language:English
Published: Zhytomyr National Agroecological University 2021-11-01
Series:Наукові горизонти
Subjects:
Online Access:https://sciencehorizon.com.ua/en/journals/tom-24-6-2021/viznachennya-dovzhini-odinochnikh-pelet-ta-rozpodilu-pelet-za-dovzhinami
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author Mykola Zhovmir
author_facet Mykola Zhovmir
author_sort Mykola Zhovmir
collection DOAJ
description A form and dimensions of fuel particles influence the intensity of their burning and approaches to the mathematic description of the process. Known methods do not allow correctly measuring all pellets’ lengths and describing pellets’ lengths distribution. The purpose of the study is to substantiate method for determining the individual pellet length and to specify statistical characteristics of pellets’ lengths distribution. The purpose was achieved by applying the proposed method of indirect determination of the length of each pellet by weighing it, followed by calculation of the equivalent length and modal cluster analysis of the distribution of pellets by length, based on the probability density distribution. The most noteworthy results are that the experimental calculation of the equivalent length gives results that coincide with direct measurements for pellets of the correct shape, but in contrast to direct measurements can also be used to determine the equivalent lengths of irregularly shaped pellets and their fragments. Clustering allowed grouping pellets around objectively existing local maxima in the probability density distribution, which can be identified at intervals of pellet lengths not exceeding 2 mm. The importance of the obtained results is that the indirect method of determining the length of pellets allows replacing the measurement of pellet lengths by their weighing, which eliminates subjective factors when measuring the length of irregularly shaped pellets and their fragments. Clustering characterised the granulometric composition of pellets with histograms of probability, mass fraction, and average length by clusters. Upon using proposed approaches, granulometric composition of industrially produced pellets was specified and increased probabilities were noted for 8 mm pellets in clusters of smaller lengths, compared to 6 mm pellets; while straw pellets are characterised by a higher probability in clusters with shorter lengths compared to wood pellets
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spelling doaj.art-d32d473594a1483684a25aa05c3060d12022-12-21T21:10:28ZengZhytomyr National Agroecological UniversityНаукові горизонти2663-21442021-11-01246243310.48077/scihor.24(6).2021.24-33Determination of Length of Individual Pellets and Pellets’ Lengths DistributionMykola Zhovmir0Institute of Renewable Energy of the National Academy of Science of UkraineA form and dimensions of fuel particles influence the intensity of their burning and approaches to the mathematic description of the process. Known methods do not allow correctly measuring all pellets’ lengths and describing pellets’ lengths distribution. The purpose of the study is to substantiate method for determining the individual pellet length and to specify statistical characteristics of pellets’ lengths distribution. The purpose was achieved by applying the proposed method of indirect determination of the length of each pellet by weighing it, followed by calculation of the equivalent length and modal cluster analysis of the distribution of pellets by length, based on the probability density distribution. The most noteworthy results are that the experimental calculation of the equivalent length gives results that coincide with direct measurements for pellets of the correct shape, but in contrast to direct measurements can also be used to determine the equivalent lengths of irregularly shaped pellets and their fragments. Clustering allowed grouping pellets around objectively existing local maxima in the probability density distribution, which can be identified at intervals of pellet lengths not exceeding 2 mm. The importance of the obtained results is that the indirect method of determining the length of pellets allows replacing the measurement of pellet lengths by their weighing, which eliminates subjective factors when measuring the length of irregularly shaped pellets and their fragments. Clustering characterised the granulometric composition of pellets with histograms of probability, mass fraction, and average length by clusters. Upon using proposed approaches, granulometric composition of industrially produced pellets was specified and increased probabilities were noted for 8 mm pellets in clusters of smaller lengths, compared to 6 mm pellets; while straw pellets are characterised by a higher probability in clusters with shorter lengths compared to wood pelletshttps://sciencehorizon.com.ua/en/journals/tom-24-6-2021/viznachennya-dovzhini-odinochnikh-pelet-ta-rozpodilu-pelet-za-dovzhinamipelletslength measurementlength determinationprobability density distributionclusteringhistogramspellets lengths distribution
spellingShingle Mykola Zhovmir
Determination of Length of Individual Pellets and Pellets’ Lengths Distribution
Наукові горизонти
pellets
length measurement
length determination
probability density distribution
clustering
histograms
pellets lengths distribution
title Determination of Length of Individual Pellets and Pellets’ Lengths Distribution
title_full Determination of Length of Individual Pellets and Pellets’ Lengths Distribution
title_fullStr Determination of Length of Individual Pellets and Pellets’ Lengths Distribution
title_full_unstemmed Determination of Length of Individual Pellets and Pellets’ Lengths Distribution
title_short Determination of Length of Individual Pellets and Pellets’ Lengths Distribution
title_sort determination of length of individual pellets and pellets lengths distribution
topic pellets
length measurement
length determination
probability density distribution
clustering
histograms
pellets lengths distribution
url https://sciencehorizon.com.ua/en/journals/tom-24-6-2021/viznachennya-dovzhini-odinochnikh-pelet-ta-rozpodilu-pelet-za-dovzhinami
work_keys_str_mv AT mykolazhovmir determinationoflengthofindividualpelletsandpelletslengthsdistribution