Potential Energy in a Three-Dimensional Vibrated Granular Medium Measured by NMR Imaging

Abstract

Fast NMR imaging was used to measure the density profile of a three-dimensional granular medium fluidized by vertical vibrations of the container. For container acceleration much larger than gravity, the rise in center of mass of the granular medium is found to scale as (v0^alpha)/(N^beta) with alpha = 1.0 +/-0.2 and beta = 0.5 +/- 0.1, where v0 is the vibration velocity and N is the number of grains in the container. This value for alpha is significantly less than found previously for experiments and simulations in one dimension (alpha = 2) and two dimensions (alpha = 1.3-1.5).

4 pages, 3 figures

References in corpus (4)

• Hexagons, Kinks and Disorder in Oscillated Granular Layers
• Energy flows in vibrated granular media
• The energy flux into a fluidized granular medium at a vibrating wall
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Cited by in corpus (6)

• NMR Experiments on a Three-Dimensional Vibrofluidized Granular Medium
• Measurements of Grain Motion in a Dense, Three-Dimensional Granular Fluid
• Simulations of vibrated granular medium with impact velocity dependent restitution coefficient
• Shock wave propagation in vibrofluidized granular materials
• MRI investigation of granular interface rheology using a new cylinder shear apparatus
• Applications of controlled-flow laser-polarized xenon gas to porous and granular media study