- Access by Xinjiang University
Convection in vibrated annular granular beds
Phys. Rev. E 71, 061301 – Published 14 June, 2005
DOI: https://doi.org/10.1103/PhysRevE.71.061301
Abstract
The response to vibration of a granular bed, consisting of a standard cylindrical geometry but with the addition of a dissipative cylindrical inner wall, has been investigated both experimentally (using positron emission particle tracking) and numerically (using hard sphere molecular dynamics simulation). The packing fraction profiles and granular temperature distributions (in both vertical and horizontal directions) were determined as a function of height and distance from the axis. The two sets of results were in reasonable agreement. The molecular dynamics simulations were used to explore the behavior of the granular bed in the inner wall–outer wall coefficient of restitution phase space. It was observed that one could control the direction of the toroidal convection rolls by manipulating the relative dissipation at the inner and outer walls via the coefficients of restitution, and with several layers of grains it was seen that double convection rolls could also be formed, a result that was subsequently confirmed experimentally.
Article Text
References (17)
- I. Goldhirsch, Annu. Rev. Fluid Mech. 35, 267 (2003).
- J. T. Jenkins and S. B. Savage, J. Fluid Mech. 130, 187 (1983).
- N. Sela and I. Goldhirsch, J. Fluid Mech. 361, 41 (1998).
- J. J. Brey, M. J. Ruiz-Montero, and F. Moreno, Phys. Rev. E 63, 061305 (2001).
- R. Ramirez, D. Risso, and P. Cordero, Phys. Rev. Lett. 85, 1230 (2000).
- R. D. Wildman, J. M. Huntley, and D. J. Parker, Phys. Rev. Lett. 86, 3304 (2001).
- E. Khain and B. Meerson, Phys. Rev. E 67, 021306 (2003).
- S. Warr, J. M. Huntley, and G. T. H. Jacques, Phys. Rev. E 52, 5583 (1995).
- R. D. Wildman, J. M. Huntley, and D. J. Parker, Phys. Rev. E 63, 061311 (2001).
- Y. D. Lan and A. D. Rosato, Phys. Fluids 7, 1818 (1995).
- E. Livne, B. Meerson, and P. V. Sasorov, Phys. Rev. E 66, 050301 (2002).
- P. Sunthar and V. Kumaran, Phys. Rev. E 64, 041303 (2001).
- J. Talbot and P. Viot, Phys. Rev. Lett. 89, 064301 (2002).
- D. J. Parker, C. J. Broadbent, P. Fowles, M. R. Hawkesworth, and P. A. McNeil, Nucl. Instrum. Methods Phys. Res. A 326, 592 (1993).
- R. D. Wildman, J. M. Huntley, J-P Hansen, D. J. Parker, and D. A. Allen, Phys. Rev. E 62, 3826 (2000).
- S. McNamara and S. Luding, Phys. Rev. E 58, 813 (1998).
- R. D. Wildman and J. M. Huntley, Powder Technol. 113, 14 (2000).