Determination of non-spherical particle size distribution from chord length measurements. Part 1: Theoretical analysis

Mingzhong Li, Derek Wilkinson

Research output: Contribution to journalArticlepeer-review

189 Citations (Scopus)

Abstract

In this paper, extensive theoretical studies are described on two important issues in translating a chord length distribution (CLD) measured by FBRM instrument into its particle size distribution (PSD) including PSD-CLD and CLD-PSD translation models for general non-spherical particles. Analytical solutions to calculate the PSD-CLD models for spherical and ellipsoidal particles are developed. For non-spherical particles, a numerical method is given to calculate the PSD-CLD model. The iterative non-negative least squares (NNLS) method is proposed in the CLD-PSD model, because of its many advantages converting measured CLD into its PSD, such as insensitivity to measurement noise and particle shape. The effectiveness of the proposed methods is validated by extensive simulations. © 2005 Elsevier Ltd. All rihgts reserved.

Original languageEnglish
Pages (from-to)3251-3265
Number of pages15
JournalChemical Engineering Science
Volume60
Issue number12
DOIs
Publication statusPublished - Jun 2005

Keywords

  • Chord length distribution (CLD)
  • Focused beam reflectance measurement (FBRM)
  • Iterative non-negative least squares (NNLS) method
  • Particle size distribution (PSD)

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