Granular Material (of Commeasurable and Multi-Dimensional Granules) Properties

Abstract:

The paper analyses the data on measuring the packaging density γ and porosity ω of the medium-loading of balls with d diameter and the loading tank of D diameter, as well as the compound of balls of diameters d₁ and d₂ ≤ d₁. The stabilization of γ and ω was observed with D/d≥4-5: γ=0.61-0.63, ω=0.37-0.39, which allows evaluating the medium-loading of the commensurable granules as a conditionally orderly structure with cells, on average close to square-rhombic ones. As to the compound of the granule-balls in the range of d₂/d₁=1-0.5, judging by the data on γ and ω variance with d₂/d₁<0.4-0.5 (up to γ=0.85-0.87 and ω=0.13-0.15 with d₂/d₁→0), the media-loadings of multi-dimensional granules with characteristic γ and ω values can be considered as provisionally ordered structures with corresponding cells. We provide the expression for defining averaged values of the coordination number of the granule.

• Periodical: Key Engineering Materials (Volume 723)
• Pages: 382-387
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.723.382
• Online since: December 2016
• Authors: D.A. Sandulyak, Vera Ershova, Anna A. Sandulyak*, Alexander V. Sandulyak
• Keywords: Calculation of the Coordination Number, Cell, Granular Magnetic Materials, Granular Material, Granule Compound, Granules Dimensions Ratio, Packaging Density, Porosity

References

[1] A. V. Sandulyak, Magneto-filtration purification of liquids and gases, Moscow: Chemistry. 1988, p.133.

[2] Y. S. Kim, A. J. Whittle, Filtration in a Porous Granular Medium: 2. Application of Bubble Model to 1-D Column Experiments, Transport. Porous. Med. 65(2) (2006) 309-335.

DOI: 10.1007/s11242-005-6060-0

[3] L. Bennacer, N. D. Ahfir, A. Bouanani, et. al., Suspended Particles Transport and Deposition in Saturated Granular Porous Medium: Particle Size Effects, Transport. Porous. Med. 100(3) (2013) 377-392.

DOI: 10.1007/s11242-013-0220-4

[4] Z. Duan, R. Zhang, M. Rauenzahn, Effects of Long and Short Relaxation Times of Particle Interactions in Dense and Slow Granular Flows, Proceedings of ASME FEDSM' 03 4TH ASME_JSME Joint Fluids Engineering Conference, Honolulu, Hawaii, USA. (2003).

DOI: 10.1115/fedsm2003-45748

[5] A. X. Wu, B. H. Yang, Y. Xi, H. C. Jiang, Pore structure of ore granular media by computerized tomography image processing, J. Centr. South Univ. Tech. 14(2) (2007) 220-224.

DOI: 10.1007/s11771-007-0044-x

[6] J. L. Mattei, M. Le Floch, Effects of the magnetic dilution on the ferromagnetic resonance of disordered heterostructures, J. Magnet. Magnet. Mater. 264 (2003) 86-94.

[7] A. V. Sandulyak, A. A. Sandulyak, V. A. Ershova, A functional adjustment to the classical expression for the average velocity of the flow in the granular, tightly packed medium, Theor. Found. Chem. Tech. 42(2) (2008) 231–235.

DOI: 10.1134/s0040579508020164