Effects of vibration method and wall boundaries on size segregation in granular beds

Physics of Fluids

Volumn 15, Issue 11, 2003, Pages 3458-3467

  Fernando, D N ^a   Wassgren, C R ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; IMPURITIES; OSCILLATIONS; VIBRATIONS (MECHANICAL);

DISCRETE OSCILLATIONS; GRANULAR BEDS;

GRANULAR MATERIALS;

GRANULAR BED;

EID: 0344036323     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1614811     Document Type: Article

References (29)

1. E. G. Rippie, J. L. Olsen, and M. D. Faiman, "Segregation kinetics of particulate solids systems II: Particle density-Size interactions and wall effect," J. Pharm. Sci. 56, 1360 (1964).
2. K. Ahmad and I. J. Smalley, "Obervation of particle segregation in vibrated granular systems," Powder Technol. 8, 69 (1973).
3. T. Shinbrot and F. J. Muzzio, "Reverse buoyancy in shaken granular beds," Phys. Rev. Lett. 81, 4365 (1998).
4. D. C. Hong, P. V. Quinn, and S. Luding, "Reverse Brazil nut problem: Competition between percolation and condensation," Phys. Rev. Lett. 86, 3423 (2001).
5. N. Shishodia and C. R. Wassgren, "Particle segregation in vibro-fluidized beds due to buoyant forces," Phys. Rev. Lett. 87, 084302 (2001); "Erratum: Particle segregation in vibro-fluidized beds due to buoyant forces," ibid. 88, 1099019(E) (2002).
6. A. P. J. Breu, H.-M. Ensner, C. A. Kruelle, and I. Rehberg, "Reversing the Brazil-nut effect: Competition between percolation and condensation," Phys. Rev. Lett. 90, 014302 (2003).
7. S. B. Savage, "Interparticle percolation and segregation in granular material: A review," Developments in Engineering Mechanics, edited by A. P. S. Selvadurai (Elsevier, Amsterdam, 1987).
8. J. C. Williams and G. Shields, "The segregation of granules in a vibrated bed," Powder Technol. 1, 134 (1967).
9. A. D. Rosato, F. Prinz, K. J. Standburg, and R. Swendsen, "Monte-Carlo simulation of particulate matter segregation," Powder Technol. 49, 59 (1986).
10. J. B. Knight, H. M. Jaeger, and S. R. Nagel, "Vibration-induced size separation in granular media: The convection connection," Phys. Rev. Lett. 70, 3728 (1993).
11. L. Vanel, A. D. Rosato, and R. N. Dave, "Rise-time regimes of a large sphere in vibrated bulk solids," Phys. Rev. Lett. 78, 1255 (1997).
12. J. Duran, J. Rajchenbach, and E. Cĺement, "Arching effect model for particle size segregation," Phys. Rev. Lett. 70, 2431 (1993).
13. J. Duran, T. Mazozi, E. Cĺement, and J. Rajchenbach, "Size segregation in a two-dimensional sandpile: Convection and arching effects," Phys. Rev. E 50, 5138 (1994).
14. S. Dippel and S. Luding, "Simulations on size segregation: Geometrical effects in the absence of convection," J. Phys. 15, 1527 (1995).
15. W. Cooke, S. Warr, J. M. Huntley, and R. C. Ball, "Particle size segregation in a two-dimensional bed undergoing vertical vibration," Phys. Rev. E 53, 2812 (1996).
16. R. Jullien and P. Meakin, "Three-dimensional model for particle-size segregation by shaking," Phys. Rev. Lett. 69, 640 (1992).
17. T. P̈oschel and H. J. Herrmann, "Size segregation and convection," Europhys. Lett. 29, 123 (1995).
18. T. Elperin and E. Golshtein, "Effects of convection and friction on size segregation in vibrated granular beds," Physica A 247, 67 (1997).
19. S. S. Hsiau and H. Y. Yu, "Segregation phenomena in a shaker," Powder Technol. 93, 83 (1997).
20. A. D. Rosato, D. L. Blackmore, N. Zhang, and Y. Lan, "A perspective on vibration-induced size segregation of granular materials," Chem. Eng. Sci. 57, 265 (2002).
21. F. Melo, P. Umbanhowar, and H. Swinney, "Transition to parametric wave patterns in a vertically oscillated granular layer." Phys. Rev. Lett. 72, 172 (1994).
22. C. R. Wassgren, C. E. Brennen, and M. L. Hunt, "Vertical vibration of a deep bed of granular material in a container," J. Appl. Mech. 63, 712 (1996).
23. C. R. Wassgren, "Vibration of granular materials," Ph.D. thesis, California Institute of Technology, Pasadena, CA, 1997.
24. P. A. Cundall and O. D. L. Strack, "A discrete numerical model for granular assemblies," Geotechnique 29, 47 (1979).
25. O. R. Walton and R. L. Braun, "Viscosity, granular-temperature, and stress calculations for shearing assemblies of inelastic, frictional disks," J. Rheol. 30, 949 (1986).
26. M. J. Rhodes, Introduction to Particle Technology (Wiley, New York, 1998).
27. K. Liffman, K. Muniandy, M. Rhodes, D. Gutteridge, and G. Metcalfe, "A segregation mechanism in a vertically shaken bed," Granular Matter 3, 205 (2001).
28. C. E. Brennen, S. Ghosh, and C. Wassgren, "Vertical oscillation of a bed of granular material," J. Appl. Mech. 63, 156 (1996).
29. C. R. Wassgren, D. E. Beasley, and R. N. DeWachter, "Heat transfer in vertically vibrated granular materials," Proceedings of the ASME Heat Transfer Division, Anaheim, CA, edited by R. A. Nelson, Jr. and D. Kaminski (ASME, New York, 1998). Vol. 261-1, pp. 259ff.