Particle and droplet size analysis from chord measurements using Bayes Theorem

Mark Simmons, PA Langston, Adam Burbidge, PF Jones

Research output: Contribution to journalArticle

34 Citations (Scopus)


A method of predicting sphere diameter distributions from chord size data is presented and evaluated. This is the probability apportioning method (PAM2) and is significantly improved on a previous presentation. It assumes that the particles or droplets are near spherical and cut randomly by a sensor. For an assumed particle diameter distribution, Bayes' theorem is used to calculate hit probabilities for each particle diameter. The diameter distribution is then recalculated and the process is repeated until there is no significant further change. Using numerical simulations, PAM2 is shown to be quite accurate and robust for a number of different types of size distribution. (C) 2001 Elsevier Science B.V. All rights reserved.
Original languageEnglish
Pages (from-to)33-42
Number of pages10
JournalPowder Technology
Issue number1
Publication statusPublished - 3 May 2001


  • chord distribution
  • distinct element simulation
  • Bayes' theorem
  • diameter distribution


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