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Convection in vibrated annular granular beds

R. D. Wildman1, T. W. Martin1, P. E. Krouskop2, J. Talbot2, J. M. Huntley1, and D. J. Parker3

  • 1School of Mechanical and Manufacturing Engineering, Loughborough University, Loughborough, Leicestershire LE11 3TU, United Kingdom
  • 2School of Chemistry and Biochemistry, Duquesne University, Pittsburgh, Pennsylvania 15282 USA
  • 3School of Physics and Astronomy, University of Birmingham, Edgbaston, B16 2TT, United Kingdom

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.

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