Heaping of granular materials in a cylindrical vibrating bed

Shiu Liu, Pik Yin Lai

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We consider the heap formation of granular materials contained in a cylindrical vertically vibrating bed under slight vibration. Using the surface profile of the heap as the dynamical variable, the heap equation is generalized to the three-dimensional case. The steady state heap profiles are calculated. Our results indicate a change of downward to upward heaps as the vibration strength is increased, similar to those observed in two-dimensional vibrating bed experiments. The effective current in this model is also calculated, which can describe the convection phenomena. We also discuss the relationship between the heap formation times and the vibration strength and system size.

Original languageEnglish
Pages (from-to)8241-8249
Number of pages9
JournalJournal of Physics A: Mathematical and General
Issue number46
StatePublished - 24 Nov 2000


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