Source:http://linkedlifedata.com/resource/pubmed/id/20059051
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rdf:type | |
lifeskim:mentions | |
pubmed:issue |
24
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pubmed:dateCreated |
2010-1-11
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pubmed:abstractText |
The most efficient way to pack equally sized spheres isotropically in three dimensions is known as the random close packed state, which provides a starting point for many approximations in physics and engineering. However, the particle size distribution of a real granular material is never monodisperse. Here we present a simple but accurate approximation for the random close packing density of hard spheres of any size distribution based upon a mapping onto a one-dimensional problem. To test this theory we performed extensive simulations for mixtures of elastic spheres with hydrodynamic friction. The simulations show a general (but weak) dependence of the final (essentially hard sphere) packing density on fluid viscosity and on particle size but this can be eliminated by choosing a specific relation between mass and particle size, making the random close packed volume fraction well defined. Our theory agrees well with the simulations for bidisperse, tridisperse, and log-normal distributions and correctly reproduces the exact limits for large size ratios.
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pubmed:commentsCorrections | |
pubmed:language |
eng
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pubmed:journal | |
pubmed:status |
PubMed-not-MEDLINE
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pubmed:month |
Dec
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pubmed:issn |
1089-7690
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pubmed:author | |
pubmed:issnType |
Electronic
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pubmed:day |
28
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pubmed:volume |
131
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pubmed:owner |
NLM
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pubmed:authorsComplete |
Y
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pubmed:pagination |
244104
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pubmed:dateRevised |
2010-5-12
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pubmed:year |
2009
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pubmed:articleTitle |
Close packing density of polydisperse hard spheres.
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pubmed:affiliation |
Unilever R and D, Olivier van Noortlaan 120, Vlaardingen AT3133, The Netherlands. robert.farr@unilever.com
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pubmed:publicationType |
Journal Article
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