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Motion of grains in a vibrated U-tube

2010/01/14 by J. R. Darias, Darias, J. R., Iván Sánchez +3
Chemical Engineering · #FOS: Physical sciences #Other Condensed Matter (cond-mat.other) #Rheology and Fluid Dynamics Studies #Soft Condensed Matter (cond-mat.soft)

paper · pdf · doi:10.48550/arxiv.1001.2544

openalex publication_date 2010/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate experimentally the behavior of the rate of growth of a column of grains, in a partially filled vertically shaken U-tube. For the set of frequencies used we identify three qualitatively different behaviors for the growth rate γ as a function of the dimensionless acceleration Γ: 1) an interval of zero growth for low Γ with a smooth change to nonzero growth, analogous to a continuous phase transition; 2) a sigmoidal region for γ at intermediate values of the dimensionless acceleration Γ; and 3) an abrupt change from high values of γ to zero growth at high values of Γ, similar to a first order phase transition. We obtain that our data is well described by a simple differential equation for the change of the growth rate with the dimensionless acceleration of the vertical vibrations.

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