Estimation of particle size distribution and aspect ratio of non-spherical particles from chord length distribution

Okpeafoh S. Agimelen, Peter Hamilton, Ian Haley, Alison Nordon, Massimiliano Vasile, Jan Sefcik, Anthony J. Mulholland

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

Information about size and shape of particles produced in various manufacturing processes is very important for process and product development because design of downstream processes as well as final product properties strongly depend on these geometrical particle attributes. However, recovery of particle size and shape information in situ during crystallisation processes has been a major challenge. The focused beam reflectance measurement (FBRM) provides the chord length distribution (CLD) of a population of particles in a suspension flowing close to the sensor window. Recovery of size and shape information from the CLD requires a model relating particle size and shape to its CLD as well as solving the corresponding inverse problem.This paper presents a comprehensive algorithm which produces estimates of particle size distribution and particle aspect ratio from measured CLD data. While the algorithm searches for a global best solution to the inverse problem without requiring further a priori information on the range of particle sizes present in the population or aspect ratio of particles, suitable regularisation techniques based on relevant additional information can be implemented as required to obtain physically reasonable size distributions. We used the algorithm to analyse CLD data for samples of needle-like crystalline particles of various lengths using two previously published CLD models for ellipsoids and for thin cylinders to estimate particle size distribution and shape. We found that the thin cylinder model yielded significantly better agreement with experimental data, while estimated particle size distributions and aspect ratios were in good agreement with those obtained from imaging.

LanguageEnglish
Pages629-640
Number of pages12
JournalChemical Engineering Science
Volume123
Early online date11 Nov 2014
DOIs
Publication statusPublished - 17 Feb 2015

Fingerprint

Chord or secant line
Particle Size
Aspect Ratio
Particle size analysis
Aspect ratio
Particle size
Inverse problems
Recovery
Reflectometers
Crystallization
Product development
Needles
Data Distribution
Particles (particulate matter)
Suspensions
Inverse Problem
Crystalline materials
Imaging techniques
Sensors
Regularization Technique

Keywords

  • chord length distribution
  • focused beam reflectance measurement
  • particle shape
  • particle size distribution

Cite this

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title = "Estimation of particle size distribution and aspect ratio of non-spherical particles from chord length distribution",
abstract = "Information about size and shape of particles produced in various manufacturing processes is very important for process and product development because design of downstream processes as well as final product properties strongly depend on these geometrical particle attributes. However, recovery of particle size and shape information in situ during crystallisation processes has been a major challenge. The focused beam reflectance measurement (FBRM) provides the chord length distribution (CLD) of a population of particles in a suspension flowing close to the sensor window. Recovery of size and shape information from the CLD requires a model relating particle size and shape to its CLD as well as solving the corresponding inverse problem.This paper presents a comprehensive algorithm which produces estimates of particle size distribution and particle aspect ratio from measured CLD data. While the algorithm searches for a global best solution to the inverse problem without requiring further a priori information on the range of particle sizes present in the population or aspect ratio of particles, suitable regularisation techniques based on relevant additional information can be implemented as required to obtain physically reasonable size distributions. We used the algorithm to analyse CLD data for samples of needle-like crystalline particles of various lengths using two previously published CLD models for ellipsoids and for thin cylinders to estimate particle size distribution and shape. We found that the thin cylinder model yielded significantly better agreement with experimental data, while estimated particle size distributions and aspect ratios were in good agreement with those obtained from imaging.",
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AU - Nordon, Alison

AU - Vasile, Massimiliano

AU - Sefcik, Jan

AU - Mulholland, Anthony J.

N1 - Notice: This is the author's version of a work that was accepted for publication in Chemical Engineering Science. The supplementary file is attached to the end of the main text as a single PDF. Both the main text and supplementary file have been peer reviewed and the final versions (uploaded) have been accepted by the editors. The final published version of the article is now online (Chemical Engineering Science 123 (2015) 629–640).

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N2 - Information about size and shape of particles produced in various manufacturing processes is very important for process and product development because design of downstream processes as well as final product properties strongly depend on these geometrical particle attributes. However, recovery of particle size and shape information in situ during crystallisation processes has been a major challenge. The focused beam reflectance measurement (FBRM) provides the chord length distribution (CLD) of a population of particles in a suspension flowing close to the sensor window. Recovery of size and shape information from the CLD requires a model relating particle size and shape to its CLD as well as solving the corresponding inverse problem.This paper presents a comprehensive algorithm which produces estimates of particle size distribution and particle aspect ratio from measured CLD data. While the algorithm searches for a global best solution to the inverse problem without requiring further a priori information on the range of particle sizes present in the population or aspect ratio of particles, suitable regularisation techniques based on relevant additional information can be implemented as required to obtain physically reasonable size distributions. We used the algorithm to analyse CLD data for samples of needle-like crystalline particles of various lengths using two previously published CLD models for ellipsoids and for thin cylinders to estimate particle size distribution and shape. We found that the thin cylinder model yielded significantly better agreement with experimental data, while estimated particle size distributions and aspect ratios were in good agreement with those obtained from imaging.

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