Density waves of granular flow in a pipe using lattice-gas automata
- 1 March 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 49 (3), R1796-R1799
- https://doi.org/10.1103/physreve.49.r1796
Abstract
We use a lattice-gas automaton modeling the formation of density waves of granular flow through a vertical pipe. It is found that both the dissipation and the roughness of the walls of the pipe are essential to the emergence of density waves. The density waves can only be observed when the average density of the system is in a certain range. The power spectra of density fluctuations in one region in the pipe follow, apart from a sharp peak corresponding to the density wave, a power-law spectrum 1/ with α close to 4/3.
Keywords
This publication has 14 references indexed in Scilit:
- Convection cells in vibrating granular mediaPhysical Review Letters, 1992
- New origin of a convective motion: Elastically induced convection in granular materialsPhysical Review Letters, 1992
- Sound in sandPhysical Review Letters, 1992
- Physics of the Granular StateScience, 1992
- Scaling behaviour in size segregation ("Brazil Nuts")Journal de Physique, 1990
- Pattern formation in flowing sandPhysical Review Letters, 1989
- Instability in a Sand HeapPhysical Review Letters, 1989
- Computer simulation of the mechanical sorting of grainsPowder Technology, 1986
- The segregation of particulate materials. A reviewPowder Technology, 1976
- XVII. On a peculiar class of acoustical figures; and on certain forms assumed by groups of particles upon vibrating elastic surfacesPhilosophical Transactions of the Royal Society of London, 1831