Volume 54
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Grace, J. R., & Ebneyamini, A. (2021). Connecting particle sphericity and circularity. Particuology, 54, 1-4. https://doi.org/10.1016/j.partic.2020.09.006
Connecting particle sphericity and circularity
John R. Grace *, Arian Ebneyamini
Received 5 August 2020, Revised 10 September 2020, Accepted 14 September 2020, Available online 24 October 2020, Version of Record 28 January 2021.
10.1016/j.partic.2020.09.006
Volume 54, February 2021, Pages 1-4
Received 5 August 2020, Revised 10 September 2020, Accepted 14 September 2020, Available online 24 October 2020, Version of Record 28 January 2021.
E-mail: jgrace@chbe.ubc.ca

Highlights

• Sphericity and circularity are formulated for different particle shapes.

• The effects of particle aspect ratio on sphericity and circularity are assessed.

• Particle sphericity is less than circularity for most particle shapes.

• Circularity should not be used in place of sphericity for many particle shapes.

• A reference figure is introduced to approximate sphericity based on circularity.


Abstract

Sphericity, a measure of how much a particle’s shape deviates from spherical, is useful as a shape factor when characterizing particulate materials. However, particle surface areas, required when determining the sphericity, are very difficult to measure. As a result, the circularity, derivable from microscopic views, is often measured instead and assumed to be equal to the sphericity. This paper shows that the two quantities are generally not equal for simple non-spherical shapes and provides advice on improving the estimation of sphericity from circularity.

Graphical abstract
Keywords
Non-spherical particles; Sphericity; Circularity; Shape factors