Time-dependent behavior of granular material in a vibrating box

Jysoo Lee

Physica A: Statistical Mechanics and its Applications, 1997, vol. 238, issue 1, 129-148

Abstract: Using numerical and analytic methods, we study the time-dependent behavior of granular material in a vibrating box. We find, by molecular dynamics simulation, that the temporal fluctuations of the pressure and the height expansion scale in Aƒ, where A (ƒ) is the amplitude (frequency) of the vibration. On the other hand, the fluctuations of the velocity and the granular temperature do not scale in any simple combination of A and ƒ. Using the kinetic theory of Haff, we study the temporal behaviors of the hydrodynamic quantities by perturbing about their time-averaged values in the quasi-incompressible limit. The results of the kinetic theory disagree with the numerical simulations. The kinetic theory predicts that the whole material oscillates roughly as a single block. However, the numerical simulations show that the region of active particle movement is localized and moves with time, behavior very similar to the propagation of a sound wave.

Keywords: Granular media; Vibration; Wave; Scaling; Kinetic theory (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:238:y:1997:i:1:p:129-148

DOI: 10.1016/S0378-4371(96)00281-6

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