Density = f(Particle Size Distribution)
January 23, 2012 9:21 AM Subscribe
Sphere packing problem: for a distribution of sphere sizes?
posted by stepheno to Science & Nature (1 answer total)
has been of interest for many years, notably since Kepler conjectured the maximum packing efficiency for spheres of a single size.
Wikipedia tells me that for a sphere size distribution
the problem quickly becomes untractable, but I have found references in some papers for estimation methods – however these go a bit too deep for me to gain usable knowledge.
So, given a continuous particle size distribution function (e.g. a log-normal distribution), how can I estimate the maximum (or even typical or likely) packing efficiency and make comparisons between different distributions?
(My eventual goal is to correlate density of a real particulate substance to its PSD, but I though I'd phrase the question more generally.)