Instabilities in vertically vibrated granular beds at the single particle scale

Physics of Fluids

Volumn 18, Issue 4, 2006, Pages

  Wong, Y S ^a   Gan, H C ^b   Wang, H C ^a,b   Fan, X ^c   Parker, J D ^c   Ingram, A ^c   Seville, K J ^c  

^a SINGAPORE MIT ALLIANCE   (Singapore)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c UNIVERSITY OF BIRMINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; ANISOTROPY; GRANULAR MATERIALS; VIBRATIONS (MECHANICAL);

GRANULAR MOTION; PARTICLE CYCLE FREQUENCY; VERTICAL DISPERSIONS;

FLOW OF SOLIDS;

ACCELERATION; ANISOTROPY; FLOW OF SOLIDS; GRANULAR MATERIALS; VIBRATIONS (MECHANICAL);

EID: 33745589818     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2191536     Document Type: Article

References (53)

1. P. K. Das and D. Blair, "Phase boundaries in vertically vibrated granular materials," Phys. Lett. A PYLAAG0375-960110.1016/ S0375-9601(98)00227-8 242, 326 (1998).
2. S. S. Hsiau and S. J. Pan, "Motion state transitions in a vibrated granular bed," Powder Technol.POTEBX0032-591010.1016/ S0032-5910(97)03377-9 96, 219 (1998).
3. P. Umbanhowar, "Patterns in the sand," Nature (London)NATUAS0028-083610.1038/39174 389, 541 (1997).
4. H. M. Jaeger and S. R. Nagel, "Granular solids, liquids, and gases," Rev. Mod. Phys.RMPHAT0034-686110.1103/RevModPhys.68.1259 68, 1259 (1996).
5. E. Clément, J. Duran, and J. Rajchenbach, "Experimental study of heaping in a two-dimensional 'sandpile'," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.69.1189 69, 1189 (1992).
6. P. Evesque and J. Rajchenbach, "Instability in a sand heap," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.62.44 62, 44 (1989).
7. R. M. Lueptow, A. Akonur, and T. Shinbrot, "PIV for granular flows," Exp. FluidsEXFLDU0723-486410.1007/s003480050023 28, 183 (2000).
8. S. Warr, J. M. Huntley, and G. T. H. Jacques, "Fluidization of a two-dimensional granular system: Experimental study and scaling behavior," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.52.5583 52, 5583 (1995).
9. R. D. Wildman, J. M. Huntley, and D. J. Parker, "Granular temperature profiles in three-dimensional vibrofluidized granular beds," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.63.061311 63, 061311 (2001).
10. R. D. Wildman, J. M. Huntley, and D. J. Parker, "Convection in highly fluidized three-dimensional granular beds," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.86.3304 86, 3304 (2001).
11. H. K. Pak and R. P. Behringer, "Surface waves in vertically vibrated granular materials," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.71.1832 71, 1832 (1993).
12. P. B. Umbanhowar, F. Melo, and H. L. Swinney, "Periodic, aperiodic and transient patterns in vibrated granular layers," Physica APHYADX0378-437110.1016/S0378-4371(97)00425-1 249, 1 (1998).
13. P. B. Umbanhowar and H. L. Swinney, "Wavelength scaling and square/ stripe and grain transitions in vertically oscillated granular layers," Physica APHYADX0378-437110.1016/S0378-4371(00)00432-5 288, 344 (2000).
14. E. Clément, L. Vanel, J. Rajchenbach, and J. Duran, "Pattern formation in a vibrated granular layer," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.53.2972 53, 2972 (1996).
15. T. H. Metcalf, J. B. Knight, and H. M. Jaeger, "Standing wave patterns in shallow beds of vibrated granular material," Physica APHYADX0378-437110.1016/S0378-4371(96)00370-6 236, 202 (1997).
16. F. Melo, P. B. Umbanhowar, and H. L. Swinney, "Transition to parametric wave patterns in a vertically oscillated granular layers," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.72.172 72, 172 (1994).
17. R. Deng, and C.-H. Wang, "Particle image velocimetry study on the pattern formation in a vertically vibrated granular bed," Phys. FluidsPHFLE61070-663110.1063/1.1624606 15, 3718 (2003).
18. S. S. Hsiau, M. H. Wu, and C. H. Chen, "Arching phenomena in a vibrated granular bed," Powder Technol.POTEBX0032-591010.1016/ S0032-5910(98)00103-X 99, 185 (1998).
19. K. M. Aoki and T. Akiyama, "Spontaneous wave pattern formation in vibrated granular materials," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.77.4166 77, 4166 (1996).
20. C. Bizon, M. D. Shattuck, J. B. Swift, W. D. McCormick, and H. L. Swinney, "Patterns in 3D vertically oscillated granular layers: Simulation and experiment," Phys. Rev. Lett.PRLTAO0031-900710.1103/ PhysRevLett.80.57 80, 57 (1998).
21. E. Cerda, F. Melo, and S. Rica, "Model for subharmonic waves in granular materials," Phys. Rev. Lett.PRLTAO0031-900710.1103/ PhysRevLett.79.4570 79, 4570 (1997).
22. E. Clément and L. Labous, "Pattern formation in a vibrated granular layer: The pattern selection issue," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.62.8314 62, 8314 (2000).
23. Y. Lan and A. D. Rosato, "Macroscopic behavior of vibrating beds of smooth inelastic spheres," Phys. FluidsPHFLE61070-663110.1063/ 1.868498 7, 1818 (1995).
24. S. Luding, E. Clément, A. Blumen, J. Rajchenbach, and J. Duran, "Studies of columns of beads under external vibrations," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.49.1634 49, 1634 (1994).
25. A. Mehta and J. M. Luck, "Novel temporal behavior of a nonlinear dynamical system," Phys. Rev. Lett.PRLTAO0031-900710.1103/ PhysRevLett.65.393 65, 393 (1990).
26. D. H. Rothman, "Oscillons, spiral waves and stripes in a model of vibrated sand," Phys. Rev. EPLEEE81063-651X10.1103/ PhysRevE.57.R1239 57, R1239 (1998).
27. M. D. Shattuck, C. Bizon, J. B. Swift, and H. L. Swinney, "Computational test of kinetic theory of granular media," Physica APHYADX0378-437110.1016/S0378-4371(99)00433-1 274, 158 (1999).
28. L. S. Tsimring and I. S. Aranson, "Localized and cellular patterns in a vibrated granular layer," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.79.213 79, 213 (1997).
29. C. Bizon, M. D. Shattuck, J. R. Bruyn, J. B. Swift, W. D. McCormick, and H. L. Swinney, "Convection and diffusion in patterns in oscillated granular media," J. Stat. Phys.JSTPBS0022-471510.1023/ B:JOSS.0000033158.05927.3f 93, 449 (1998).
30. S. C. Yang and S. S. Hsiau, "Simulation study of the convection cells in a vibrated granular bed," Chem. Eng. Sci.CESCAC0009-2509 55, 3627 (2000).
31. Y.-H. Taguchi, "New origin of a convective motion: Elastically induced convection in granular materials," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.69.1367 69, 1367 (1992).
32. H. J. Herrmann, "Simulation of granular media," Physica APHYADX0378-437110.1016/0378-4371(92)90537-Z 191, 263 (1992).
33. J. B. Knight, H. M. Jaeger, and S. R. Nagel, "Vibration-induced size separation in granular media: The convection connection," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.70.3728 70, 3728 (1993).
34. S. B. Savage, "Streaming motions in a bed of vibrationally fluidized dry granular material," J. Fluid Mech.JFLSA70022-112010.1017/S0022112088003064 194, 457 (1988).
35. M. R. Hawkesworth, M. A. O'Dwyer, J. Walker, P. Fowles, J. Heritage, P. A. E. Stewart, R. C. Witcomb, J. E. Bateman, J. F. Connolly, and R. Stephenson, "A positron camera for industrial applications," Nucl. Instrum. Methods Phys. Res. ANIMAER0168-900210.1016/ 0168-9002(86)91138-1 A253, 145 (1986).
36. M. R. Hawkesworth, D. J. Parker, P. Fowles, J. F. Crilly, N. L. Jefferies, and G. Jonkers, "Nonmedical applications of a positron camera," Nucl. Instrum. Methods Phys. Res. ANIMAER0168-9002 A310, 423 (1991).
37. D. J. Parker, M. R. Hawkesworth, and T. D. Beynon, "Process applications of emission tomography," Chem. Eng. J.CMEJAJ0300-9467 56, 109 (1995).
38. M. Stein, Y. L. Ding, J. P. K. Seville, and D. J. Parker, "Solids motion in bubbling gas fluidized beds," Chem. Eng. Sci.CESCAC0009-250910.1016/S0009-2509(00)00177-9 55, 5291 (2000).
39. Y. S. Wong, "Experimental and numerical investigations of fluidization behaviour with and without the presence of immersed tubes," Ph.D. thesis, University of Birmingham (2003).
40. Y. L. Ding, R. Forster, J. P. K. Seville, and D. J. Parker, "Segregation of granular flow in the transverse plane of a rolling mode rotating drum," Int. J. Multiphase FlowIJMFBP0301-9322 28, 635 (2002).
41. D. J. Parker, A. E. Dijkstra, T. W. Martin, and J. P. K. Seville, "Positron emission particle tracking studies of spherical particle motion in rotating drums," Chem. Eng. Sci.CESCAC0009-250910.1016/ S0009-2509(97)00030-4 52, 2011 (1997).
42. H. P. Kuo, P. C. Knight, D. J. Parker, Y. Tsuji, M. J. Adams, and J. P. K. Seville, "The influence of DEM simulation parameters on the particle behaviour in a V-mixer," Chem. Eng. Sci.CESCAC0009-2509 57, 3621 (2002).
43. J. R. Jones and J. Bridgwater, "A case of particle mixing in a ploughshare mixer using positron emission particle tracking," Int. J. Min. Process.IJMPBL0301-7516 53, 29 (1998).
44. B. Laurent, J. Bridgwater, and D. J. Parker, "Motion in a particle bed agitated by a single blade," SIAM J. Appl. Math.SMJMAP0036-1399 46, 1723 (2000).
45. R. L. Stewart, J. Bridgwater, Y. C. Zhou, and A. B. Yu, "Simulated and measured flow of granules in a bladed mixer-a detailed comparison," Chem. Eng. Sci.CESCAC0009-2509 56, 5457 (2001).
46. B. P. B. Hoomans, J. A. M. Kuipers, M. A. Mohd Salleh, M. Stein, and J. P. K. Seville, "Experimental validation of granular dynamics simulations of gas-fluidised beds with homogeneous in-flow conditions using positron emission particle tracking," Powder Technol.POTEBX0032-5910 116, 166 (2001).
47. T. Ozeki, K. Kose, T. Haishi, S. Nakatsubo, K. Nishimura, and A. Hochikubo, "Three-dimensional MR microscopy of snowpack structures," Cold Regions Sci. Technol.CRSTDL0165-232X 37, 385 (2003).
48. T. Grassler and K.-E. Wirth, "X-ray computer tomography - potential and limitation for the measurement of local solids distribution in circulating fluidised beds," Chem. Eng. J.CMEJAJ0300-9467 77, 65 (2000).
49. A. Baier-Schenk, D. Handshin, M. von Schönau, A. G. Bittermann, T. Bächi, and B. Conde-Petit, "In-situ observation of the freezing process in wheat dough by confocal laser scanning microscopy (CLSM): Formation of ice and changes in the gluten network," J. Cereal Sci.JCSCDA0733-5210 42, 255 (2005).
50. D. J. Parker, C. J. Broadbent, P. Fowles, M. R. Hawkesworth, and P. McNeil, "Positron emission particle tracking - a technique for studying flow within engineering equipment," Nucl. Instrum. Methods Phys. Res. ANIMAER0168-900210.1016/0168-9002(93)90864-E 326, 592 (1993).
51. S.-Y. Lim, J. F. Davidson, R. N. Forster, D. J. Parker, D. M. Scott, and J. P. K. Seville, "Avalanching of granular material in a horizontal slowly rotating cylinder: PEPT studies," Powder Technol.POTEBX0032-5910 138, 25 (2003).
52. A. Einstein, "On the motion of small particles suspended in liquids at rest required by the molecular-kinetic theory of heat," Ann. Phys.ANPYA20003-3804 17, 549 (1905).
53. W. Polashenski, "Fine structures in sheared granular flows," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.66.021303 66, 021303 (2002).