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Dynamic simulation of the centripetal packing of mono-sized spheres

Author

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  • Liu, L.F
  • Zhang, Z.P
  • Yu, A.B

Abstract

This paper presents a study of the centripetal packing of mono-sized spherical particles simulated by means of the granular dynamic or discrete element method. A packing is formed by imposing an assumed centripetal force on particles randomly generated in a spherical space. Different from the conventional simulation techniques, dynamic information of individual particles including transient forces and trajectory is traced in the present simulation. Structural properties, such as packing density, radial distribution function, coordination number distribution and homogeneity, are analyzed, with particular reference to the effects of the magnitude of the centripetal force and the number of particles. Comparison with the literature results suggests that such a dynamic model can satisfactorily simulate the dynamics of forming a packing and produce more realistic structural information. In particular, it is confirmed that a centripetal packing is not homogeneous in structure, becoming looser as its size or the number of particles increases. The packing has a limit packing density of 0.637–0.645, an overall mean coordination number of around 6.0 and a radial distribution function of clear split second peak. The centripetal force affects the rate of densification and the mean coordination number but not packing density and radial distribution function.

Suggested Citation

  • Liu, L.F & Zhang, Z.P & Yu, A.B, 1999. "Dynamic simulation of the centripetal packing of mono-sized spheres," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 268(3), pages 433-453.
    • Handle: RePEc:eee:phsmap:v:268:y:1999:i:3:p:433-453
    DOI: 10.1016/S0378-4371(99)00106-5
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    Cited by:

    1. Rémond, S., 2003. "Simulation of the compaction of confined mono-sized spherical particles systems under symmetric vibration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 329(1), pages 127-146.
    2. Rémond, S., 2004. "Compaction of confined mono-sized spherical particle systems under symmetric vibration: a suspension model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(3), pages 411-427.
    3. Yeboah, S.K. & Darkwa, J., 2016. "A critical review of thermal enhancement of packed beds for water vapour adsorption," Renewable and Sustainable Energy Reviews, Elsevier, vol. 58(C), pages 1500-1520.

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