Relaxation Dynamics of a Granular Pile on a Vertically-Vibrating Plate

Abstract

Nonlinear relaxation dynamics of a vertically-vibrated granular pile is experimentally studied. In the experiment, the flux and slope on the relaxing pile are measured by using a high-speed laser profiler. The relation of these quantities can be modeled by the nonlinear transport law assuming the uniform vibro-fluidization of an entire pile. The fitting parameter in this model is only the relaxation efficiency, which characterizes the energy conversion rate from vertical vibration into horizontal transport. We demonstrate that this value is a constant independent of experimental conditions. The actual relaxation is successfully reproduced by the continuity equation with the proposed model. Finally its specific applicability toward an astrophysical phenomenon is shown.

5 pages, 4 figures

References in corpus (3)

• Jamming and growth of dynamical heterogeneities versus depth for granular heap flow
• Timescale of asteroid resurfacing by regolith convection resulting from the impact-induced global seismic shaking
• Spreading of a granular droplet

Cited by in corpus (6)

• Scaling laws for the oblique impact cratering on an inclined granular surface
• Laboratory experiment and discrete-element-method simulation of granular-heap flows under vertical vibration
• Centroid migration on an impacted granular slope due to asymmetric ejecta deposition and landsliding
• Measurement of surface deformation and cohesion of a granular pile under the effect of centrifugal force
• Impact-induced collapse of an inclined wet granular layer
• A novel experimental setup for an oblique impact onto an inclined granular layer