  Particle separation is typically investigated regarding one particulate
property only. Virtually all separation processes, however, act on various
particle properties in different ways. Modern particle analytical modalities
enable a statistically meaningful multidimensional particle characterization.
Within this study, individual particle fractions of magnesite, calcite and
fluorite (-71 $\mu m$) are processed via the turbulent cross-flow separator
cascade Cyclosizer (M16, MARC Technologies Pty Ltd), consisting of 5
hydrocyclones, thus producing 5 different product streams. Particle
characterization is achieved via dynamic image analysis from which information
on the particle shape and size is obtained. Using this data, bivariate Tromp
functions are computed, which show the combined effect of the particle
descriptors of roundness and area-equivalent diameter on the separation
behavior. While the first cyclones recover predominantly coarse particles with
high roundness values, fine particles with varying roundness are recovered in
the latter cyclones.
