Using flow visualization and digital image processing we have shown ex
perimentally that convective motions and mixing of particles within ve
rtically vibrating two-dimensional particle beds are amenable to chara
cterization by fractal properties. The time profile of a fractal dimen
sion presents quantitative information on the rate and degree of mixin
g. Thus, the fractal dimension has been used to show the variation in
the rate of mixing along the bed height. Numerical studies based on mo
lecular dynamics simulations confirmed the fractal properties of the s
ystem. The effect of bed height on the regional variations in the rate
of mixing is explained in terms of kinetic energy per particle. (C) 1
998 Elsevier Science S.A. All rights reserved.