Effect of rectangular container's sides on porosity for equal-sized sphere packing

Powder Technology

Volumn 224, Issue , 2012, Pages 46-50

  Roozbahani, Mohammad Mahdi ^a   Huat, Bujang B K ^a   Asadi, Afshin ^a  

^a UNIVERSITY PUTRA MALAYSIA   (Malaysia)

Author keywords

Container; Gravitational sphere packing; Monte Carlo simulation; Porosity

Indexed keywords

CYLINDRICAL CONTAINERS; DIFFERENT SIZES; EQUAL-SIZED SPHERES; MONTE CARLO SIMULATION; RECTANGULAR CONTAINERS; SPHERE PACKINGS;

COMPUTER SIMULATION; CONTAINERS; INTELLIGENT SYSTEMS; PACKING; POROSITY; SPHERES;

CYLINDERS (CONTAINERS);

ARTICLE; CONTAINER; CONTAINER WALL EFFECT; CONTROLLED STUDY; CYLINDRICAL CONTAINER; EQUAL SIZED SPHERE PACKING; GRAVITY; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MOLECULAR MECHANICS; MOLECULAR STABILITY; MONTE CARLO METHOD; PARTICLE SIZE; PHYSICAL CHEMISTRY; POROSITY; PROCESS OPTIMIZATION; SQUARE CONTAINER;

EID: 84860525580     PISSN: 00325910     EISSN: 1873328X     Source Type: Journal    
DOI: 10.1016/j.powtec.2012.02.018     Document Type: Article

References (41)

1. Lochmann K., Oger L., Stoyan D. Statistical analysis of random sphere packings with variable radius distribution. Solid State Sciences 2006, 8:1397-1413.
2. Sobolev K., Amirjanov A. Application of genetic algorithm for modeling of dense packing of concrete aggregates. Construction and Building Materials 2010, 24:1449-1455.
3. Hu G., Orkoulas G., Christofides P.D. Regulation of film thickness, surface roughness and porosity in thin film growth using deposition rate. Chemical Engineering Science 2009, 64:3903-3913.
4. Kyrylyuk A.V., Wouterse A., Philipse A.P. Random packings of rod-sphere mixtures simulated by mechanical contraction. Physics 2009, 211-214.
5. Hu G., Orkoulas G., Christofides P.D. Modeling and control of film porosity in thin film deposition. Chemical Engineering Science 2009, 64:3668-3682.
6. Hu G., Orkoulas G., Christofides P.D. Stochastic modeling and simultaneous regulation of surface roughness and porosity in thin film deposition. Industrial and Engineering Chemistry Research 2009, 6690-6700.
7. Bargiel M. Geometrical properties of simulated packings of spherocylinders. Science and Technology 2008, 126-135.
8. Shi Y., Zhang Y. Simulation of random packing of spherical particles with different size distributions. Applied Physics A 2008, 92:621-626.
9. Georgalli G.A., Reuter M.A. A particle packing algorithm for pellet design with a predetermined size distribution. Powder Technology 2007, 173:189-199.
10. Kristiansen K., Wouterse A., Philipse A. Simulation of random packing of binary sphere mixtures by mechanical contraction. Physica A: Statistical Mechanics and Its Applications 2005, 358:249-262.
11. Sobolev K. The development of a simulation model of the dense packing of large particulate assemblies. Powder Technology 2004, 141:155-160.
12. To L.T., Stachurski Z.H. Random close packing of spheres in a round cell. Journal of Non-Crystalline Solids 2004, 333:161-171.
13. Williams S., Philipse A. Random packings of spheres and spherocylinders simulated by mechanical contraction. Physical Review E 2003, 67:1-9.
14. Abreu C.R.A., Macias-Salinas R., Tavares F.W., Castier M. A Monte Carlo simulation of the packing and segregation of spheres in cylinders. Brazilian Journal of Chemical Engineering 1999, 16:1-12.
15. Yang A., Miller C.T., Turcoliver L.D. Simulation of correlated and uncorrelated packing of random size spheres. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 1996, 53:1516-1524.
16. Anishchik S., Medvedev N. Three-dimensional Apollonian packing as a model for dense granular systems. Physical Review Letters 1995, 75:4314-4317.
17. Zinchenko A.Z. Algorithm for random close packing of spheres with periodic boundary conditions. Journal of Computational Physics 1994, 114:298-307.
18. Bargiel M., Tory E.M. Packing fraction and measures of disorder of ultradense irregular packings of equal spheres. I. Nearly ordered packing. Advanced Powder Technology 1993, 4:79-101.
19. Nolan G., Kavanagh P. Computer simulation of random packings of spheres with log-normal distributions. Powder Technology 1993, 76:309-316.
20. Nolan G.T., Kavanagh P.E. Computer simulation of random packing of hard spheres. Powder Technology 1992, 72:149-155.
21. Bargiel M., Mo J. C-language program for the irregular close packing of hard spheres. Computer Physics Communications 1991, 64.
22. Formisani B. Packing and fluidization properties of binary mixtures of spherical particles. Powder Technology 1991, 66:259-264.
23. Jodrey W.S., Tory E.M. Computer simulation of close random packing of equal spheres'. Physical Review A 1985, 32:2347-2351.
24. Jodrey W.S. Computer simulation of equal spheres of isotropic, homogeneous, dense random packing. Powder Technology 1981, 30:111-118.
25. Jodrey W.S., Tory E.M. Simulation of random packing of spheres. Simulation 1979, 32:1-12.
26. Gotoh K. A random packing structure of equal spheres - statistical geometrical analysis of tetrahedral configurations. Powder Technology 1978, 20:233-242.
27. Tory E.M., Church B.H., Tam M.K., Ratner M. Simulated random packing of equal spheres. The Canadian Journal of Chemical Engineering 1973, 51:484-493.
28. Mueller G.E. Radial porosity in packed beds of spheres. Powder Technology 2010, 203:626-633.
29. Mueller G. Numerically packing spheres in cylinders. Powder Technology 2005, 159:105-110.
30. Mueller G.E. Angular void fraction distributions in randomly packed fixed beds of uniformly sized spheres in cylindrical containers. Powder Technology 1993, 77:313-319.
31. Mueller G.E. Radial void fraction distributions in randomly packed fixed beds of uniformly sized spheres in cylindrical containers. Powder Technology 1992, 72:269-275.
32. Suzuki M., Shinmura T., Iimura K., Hirota M. Study of the wall effect on particle packing structure using X-ray micro computed tomography. Advanced Powder Technology 2008, 19:183-195.
33. Takacs L. Statistical geometery of some dense random packing of hard spheres model structure I. Description of local order. Journal of Non-Crystalline Solids 1986, 81:1-11.
34. TAKACS L. Statistical geometry of some dense random packing of hard spheres model structure II. Concentration and radius ratio dependence. Journal of Non-Crystalline Solids 1986, 81:13-28.
35. Soppe W. Computer simulation of random packings of hard spheres. Powder Technology 1990, 62:189-197.
36. Anikeenko A., Medvedev N., Bezrukov A., Stoyan D. Observation of fivefold symmetry structures in computer models of dense packing of hard spheres. Journal of Non-Crystalline Solids 2007, 353:3545-3549.
37. M.M. Roozbahani, B.B.K. Huat, A. Asadi, The effect of different random number distributions on the porosity of spherical particles, Advanced Powder Technology (in press) . http://dx.doi.org/10.1016/j.apt.2012.01.006.
38. Kern W.F., Bland J.R. Solid Mensuration with Proofs 1948, Wiley, New York. 2nd ed.
39. Friedman J.H., Bentely J., Finkel R.A. An algorithm for finding best matches in logarithmic expected time. ACM Transactions on Mathematical Software 1977, 3:209.
40. Stoyan Y.G., Yaskov G.N. Packing identical spheres into a cylinder. International Transactions in Operational Research 2009, 17:51-70.
41. Stoyan Y.G., Yaskov G.N. Mathematical methods for geometric design. Proceedings of International Conference PROLAMAT 1983, 82:67-86.