Computer simulation of close random packing of equal spheres

Jodrey, W.S.; Tory, Elmer M.

doi:10.1103/physreva.32.2347

Cited by 428 publications

(249 citation statements)

References 8 publications

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“…The spatial configurations of spheres were generated by using the algorithm of Jodrey and Tory [21] on cubic volumes of sizes L = 22, 26, 30, 36, 42, 48, 56 and 64, and configurations were accepted if the overlapping lengths between any two spheres was below 0.015, in units of particle radius. With this procedure, 200 configurations per size for sizes L ≤ 42 and 500 configurations per size for sizes L ≥ 48 were generated, corresponding to around 1560 grains each for L = 22 and 38200 grains each for L = 64.…”

Section: Procedures and Resultsmentioning

confidence: 99%

Percolation study for the capillary ascent of a liquid through a granular soil

Cárdenas-Barrantes¹,

Muñoz²,

Araújo³

2017

EPJ Web Conf.

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Abstract. Capillary rise plays a crucial role in the construction of road embankments in flood zones, where hydrophobic compounds are added to the soil to suppress the rising of water and avoid possible damage of the pavement. Water rises through liquid bridges, menisci and trimers, whose width and connectivity depends on the maximal half-length λ of the capillary bridges among grains. Low λs generate a disconnect structure, with small clusters everywhere. On the contrary, for high λ, create a percolating cluster of trimers and enclosed volumes that form a natural path for capillary rise. Hereby, we study the percolation transition of this geometric structure as a function of λ on a granular media of monodisperse spheres in a random close packing. We determine both the percolating threshold λ c = (0.049 ± 0.004)R (with R the radius of the granular spheres), and the critical exponent of the correlation length ν = 0.830 ± 0.051, suggesting that the percolation transition falls into the universality class of ordinary percolation.

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Section: Procedures and Resultsmentioning

confidence: 99%

Percolation study for the capillary ascent of a liquid through a granular soil

Cárdenas-Barrantes¹,

Muñoz²,

Araújo³

2017

EPJ Web Conf.

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“…He noted that a disordered packing has a limiting (critical) density, i.e., a packing with higher density inevitably contains crystalline regions. Physical experiments give an estimate of 0.637-0.64 for this density [1,62,63], computer simulations provide 0.637-0.649 [13,14,[64][65][66][67]. This density is substantially lower than the maximum packing fraction attainable in the densest crystalline structures, and depends on history [68], and other material parameters.…”

Section: Microstructural Descriptionmentioning

confidence: 99%

Microstructure and macroscopic properties of polydisperse systems of hard spheres

Ogarko¹

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“…This is performed by the use of the algorithm of Jodrey and Tory [23]. In the next step, the fluid flow in the abstract sphere structure will be computable after a 3D meshing and subsequent calculation of the fluid flow using a CFD software package (Gambit and Fluent, ANSYS Corp.; Gunjal et al [9] mentioned above have shown the applicability of this software and, therefore the volume of fluid method).…”

Section: Local Fluid Flow Simulationsmentioning

confidence: 99%

Local position of colloid clusters in a packed bed of spheres

Waske

Heiland

Odenbach

2012

Chemical Engineering Science

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a b s t r a c tFlow simulations in a random sphere packing are used to investigate particulate filtration processes. The local wall shear stress is used to calculate an angular dependent distribution for particle detachment. Simulations of particle deposition by interceptions yield the angular dependent number of impacts. The results from particle detachment calculations and the interception analysis are combined to estimate local particle deposition rates, employing probabilities for detachment and impact. Comparison with X-ray computer tomography of deposited particles within a sphere packing shows good agreement. Therefore, the presented simulation procedure can be used for the design of, e.g., particle filtration apparatus.

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Computer simulation of close random packing of equal spheres

Cited by 428 publications

References 8 publications

Percolation study for the capillary ascent of a liquid through a granular soil

Percolation study for the capillary ascent of a liquid through a granular soil

Microstructure and macroscopic properties of polydisperse systems of hard spheres

Local position of colloid clusters in a packed bed of spheres

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