Estimating the number-weighted equivalents of the mass-weighted size distribution functions


POWDER TECHNOLOGY, vol.369, pp.106-113, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 369
  • Publication Date: 2020
  • Doi Number: 10.1016/j.powtec.2020.05.011
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Aerospace Database, Agricultural & Environmental Science Database, Applied Science & Technology Source, Chemical Abstracts Core, Chimica, Communication Abstracts, Compendex, Computer & Applied Sciences, EMBASE, INSPEC, Metadex, Civil Engineering Abstracts
  • Page Numbers: pp.106-113
  • Middle East Technical University Affiliated: Yes


The number-weighted particle size distributions are difficult to be estimated experimentally. This study offers a simple conversion method to convert mass-weighted distributions to their number-weighted equivalents. Besides, the number-weighted equivalents of the Gates-Gaudin-Schuhmann, Gaudin-Meloy, Pareto, and Rosin-Rammler distributions were determined by the conversion method. The accuracy of the method was successfully confirmed on the artificial populations generated from the Gates-Gaudin-Schuhmann, Rosin-Rammler (Weibull), and Pareto distributions. However, the number-weighted equivalent of the Gaudin-Meloy distribution was found to be trivial. The results also indicate that the conversion method may be applied to a wide range of sieve size distributions that are truncated with upper and lower bounds. (C) 2020 Elsevier B.V. All rights reserved.