Scaling of convective velocity in a vertically vibrated granular bed

Abstract

We experimentally study the velocity scaling of granular convection which is a possible mechanism of the regolith migration on the surface of small asteroids. In order to evaluate the contribution of granular convection to the regolith migration, the velocity of granular convection under the microgravity condition has to be revealed. Although it is hard to control the gravitational acceleration in laboratory experiments, scaling relations involving the gravitational effect can be evaluated by systematic experiments. Therefore, we perform such a systematic experiment of the vibration-induced granular convection. From the experimental data, a scaling form for the granular convective velocity is obtained. The obtained scaling form implies that the granular convective velocity can be decomposed into two characteristic velocity components: vibrational and gravitational velocities. In addition, the system size dependence is also scaled. According to the scaling form, the granular convective velocity $v$ depends on the gravitational acceleration $g$ as $v\propto g^{0.97}$ when the normalized vibrational acceleration is fixed.

arXiv comment16pages, 10figures

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• Force Chain Evolution in a Two-Dimensional Granular Packing Compacted by Vertical Tappings
• The surface sensitivity of rubble-pile asteroids during a distant planetary encounter: Influence of asteroid shape elongation
• Laboratory experiment and discrete-element-method simulation of granular-heap flows under vertical vibration
• Decompaction-wave propagation in a vibrated fine powder bed
• Rising obstacle in a one-layer granular bed induced by continuous vibrations: two dynamical regimes governed by vibration velocity