title: Packing fraction of particles with lognormal size distribution.
abstract: This paper addresses the packing and void fraction of polydisperse particles with a lognormal size distribution. It is demonstrated that a binomial particle size distribution can be transformed into a continuous particle-size distribution of the lognormal type. Furthermore, an original and exact expression is derived that predicts the packing fraction of mixtures of particles with a lognormal distribution, which is governed by the standard deviation, mode of packing, and particle shape only. For a number of particle shapes and their packing modes (close, loose) the applicable values are given. This closed-form analytical expression governing the packing fraction is thoroughly compared with empirical and computational data reported in the literature, and good agreement is found.
authors.affiliation: Department of the Built Environment, Eindhoven University of Technology, P. O. Box 513, 5600 MB Eindhoven, The Netherlands.
authors.forename: H J H
authors.initials: HJ
authors.lastname: Brouwers
mesh_terms: D003102:Colloids / Q000737:chemistry*; D045424:Complex Mixtures / Q000737:chemistry*; D003198:Computer Simulation; D008956:Models, Chemical; D015233:Models, Statistical; D010316:Particle Size; D012212:Rheology / Q000379:methods*; D016008:Statistical Distributions; D013314:Stress, Mechanical
chemical_list: D003102:Colloids; D045424:Complex Mixtures