A Spheroid Model for the Role of Shape in Particle Size Analysis

Standard procedure in particle size analysis is to express size as an equivalent sphere diameter. As a consequence, results obtained by procedures based on different kinds of response give different results. An alternative approach is presented based on a spheroidal shape which, depending on elongat...

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Main Author: Richard Hogg
Format: Article
Language:English
Published: Hosokawa Powder Technology Foundation 2015-02-01
Series:KONA Powder and Particle Journal
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/kona/32/0/32_2015014/_html/-char/en
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author Richard Hogg
author_facet Richard Hogg
author_sort Richard Hogg
collection DOAJ
description Standard procedure in particle size analysis is to express size as an equivalent sphere diameter. As a consequence, results obtained by procedures based on different kinds of response give different results. An alternative approach is presented based on a spheroidal shape which, depending on elongation can represent shapes ranging from rods, through spheres to discs. Particle size and shape are then presented as volume diameter and elongation. Applications to commonly used procedures are presented. For particles of similar shape, i.e., elongation independent of size, the results of procedures such as sieving, microscopy and sedimentation show a simple shift in apparent size with the form of the distribution unaffected. In the case of methods based on radiation scattering, orientation effects lead to an apparent size distribution even for identical particles. Experimental results on glass spheres, crushed quartz particles and fine kaolin are shown to be consistent with the spheroid model. Analysis of the quartz data by a variety of techniques gave consistent values for the volume diameter and elongation. Light scattering measurements on a series of narrow sieve fractions of the quartz particles showed no variation in elongation with size.
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spelling doaj.art-075d61aead564cab8460e2eed725d5542022-12-21T23:34:31ZengHosokawa Powder Technology FoundationKONA Powder and Particle Journal0288-45342187-55372015-02-0132022723510.14356/kona.2015014konaA Spheroid Model for the Role of Shape in Particle Size AnalysisRichard Hogg0Department of Energy and Mineral Engineering, The Pennsylvania State University, USAStandard procedure in particle size analysis is to express size as an equivalent sphere diameter. As a consequence, results obtained by procedures based on different kinds of response give different results. An alternative approach is presented based on a spheroidal shape which, depending on elongation can represent shapes ranging from rods, through spheres to discs. Particle size and shape are then presented as volume diameter and elongation. Applications to commonly used procedures are presented. For particles of similar shape, i.e., elongation independent of size, the results of procedures such as sieving, microscopy and sedimentation show a simple shift in apparent size with the form of the distribution unaffected. In the case of methods based on radiation scattering, orientation effects lead to an apparent size distribution even for identical particles. Experimental results on glass spheres, crushed quartz particles and fine kaolin are shown to be consistent with the spheroid model. Analysis of the quartz data by a variety of techniques gave consistent values for the volume diameter and elongation. Light scattering measurements on a series of narrow sieve fractions of the quartz particles showed no variation in elongation with size.https://www.jstage.jst.go.jp/article/kona/32/0/32_2015014/_html/-char/enparticle size and shapespheroidal shapevolume diameterelongationsievingimage analysissedimentationlight scatteringoptical and electrical counters
spellingShingle Richard Hogg
A Spheroid Model for the Role of Shape in Particle Size Analysis
KONA Powder and Particle Journal
particle size and shape
spheroidal shape
volume diameter
elongation
sieving
image analysis
sedimentation
light scattering
optical and electrical counters
title A Spheroid Model for the Role of Shape in Particle Size Analysis
title_full A Spheroid Model for the Role of Shape in Particle Size Analysis
title_fullStr A Spheroid Model for the Role of Shape in Particle Size Analysis
title_full_unstemmed A Spheroid Model for the Role of Shape in Particle Size Analysis
title_short A Spheroid Model for the Role of Shape in Particle Size Analysis
title_sort spheroid model for the role of shape in particle size analysis
topic particle size and shape
spheroidal shape
volume diameter
elongation
sieving
image analysis
sedimentation
light scattering
optical and electrical counters
url https://www.jstage.jst.go.jp/article/kona/32/0/32_2015014/_html/-char/en
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