The onset and dynamics of avalanches in a rotating cylinder: From experimental data to a new geometric model

TL;DR

This study uses particle image velocimetry to analyze avalanches in a rotating cylinder, revealing particle movement patterns and proposing a new geometric model that accurately predicts avalanche behavior.

Contribution

It introduces a novel geometric model based on experimental data, improving understanding of avalanche dynamics in rotating cylinders.

Findings

Particles near the center travel the farthest during avalanches.

An avalanche propagates rapidly, with 90% of the surface in motion within 257 ms.

The new model's predictions align with experimental mixing measurements.

Abstract

Particle image velocimetry has been applied to measure particle velocities on the free surface of a bed of particles within a rotating cylinder during avalanching. The particle velocities were used to examine the validity of existing avalanche models and to propose an alternative model. The movement of particles depends on their location on the surface of the bed: particles located near the center of the bed travel the farthest, while the distance travelled decreases at an increasing rate for particles located farther from the center. The start of an avalanche can be determined to a single initiation point, that can also be located on the bottom half of the bed; the avalanche quickly propagates through the entire free surface, with 90% of the surface in motion within 257 ms. The experimental insight is used to formulate a new geometric model, in which three equal sized sections flow down the bed during an avalanche. The predictions of the model are confirmed by experimental mixing measurements.