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