A dynamical model for a thin layer of granular materials

Citation
Gq. Miao et al., A dynamical model for a thin layer of granular materials, CHIN PHYS L, 18(5), 2001, pp. 698-700
Citations number
10
Categorie Soggetti
Physics
Journal title
CHINESE PHYSICS LETTERS
ISSN journal
0256307X → ACNP
Volume
18
Issue
5
Year of publication
2001
Pages
698 - 700
Database
ISI
SICI code
0256-307X(200105)18:5<698:ADMFAT>2.0.ZU;2-G
Abstract
A dynamical model is presented for a thin layer of granular materials simil ar to that for shallow viscous fluids. We have obtained analytically the ex pressions for the "thermal expansion", dispersion relation, and dependence of instability onset on driving frequency and viscosity, which are in agree ment with experiments. The numerical calculation for the nonlinear problem reproduces the experimental phenomena for a one-dimensional system.