Sphericities of non-spherical objects--颗粒学报PARTICUOLOGY

Li, T., Li, S., Zhao, J., Lu, P., & Meng, L. (2012). Sphericities of non-spherical objects. Particuology, 10(1), 97–104. https://doi.org/10.1016/j.partic.2011.07.005

Sphericities of non-spherical objects

Teng Li, Shuixiang Li^*, Jian Zhao, Peng Lu, Lingyi Meng

Department of Mechanics & Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China

10.1016/j.partic.2011.07.005

Volume 10, Issue 1, February 2012, Pages 97-104

Received 21 March 2011, Revised 25 May 2011, Accepted 31 July 2011, Available online 9 January 2012.

E-mail: lsx@pku.edu.cn

Highlights

► A comprehensive investigation of the sphericities of common non-spherical objects.

► Maximum values of sphericity and optimum shapes are obtained and analyzed.

► A decrease order of sphericities of common non-spherical objects is presented.

► Similar trends are found in most sphericity functions and packing density curves.

Abstract

Sphericity, as one of the most important shape parameter for non-spherical objects, is extensively applied in evaluating the porosity or packing density of particles. In this paper, the sphericities of common non-spherical objects are deduced and investigated. Maximum sphericities and optimum shapes of these objects are presented as well. A decreasing order of sphericity from sphere (1.0) to regular tetrahedron (0.671) for objects with constant sphericity is given. Similar trends are found in most sphericity–aspect ratio relationships, which exhibit single peak and the sphericity increases with the growth of aspect ratio before the peak point and decreases afterward. The peak loci of aspect ratio are all around 1.0 which makes the shape approaching to a sphere. The information in the paper could be useful as literature for general application.

Graphical abstract

Keywords

Sphericity; Aspect ratio; Non-spherical particle; Optimum shape

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