The purpose of the present work was to develop a mathematical
model
describing the dispersion of agglomerates in inorganic pigment concentrates.
Three potential mechanisms, i.e., surface erosion, rupture, and re-agglomeration,
were included in the population balance analysis. For model validation,
measurements of transient agglomerate size distributions of TiO2 and Cu2O pigments in a high-speed disk disperser
and a vertical bead mill were applied. When taking into account the
erosion mechanism only, assigning values to pigment-specific parameters,
and allowing for a single adjustable parameter (i.e., an erosion rate
constant), a very good agreement between simulations and experimental
data was found at all values of time. Conversely, rupture and re-agglomeration
did not even provide a qualitative agreement. In comparison with earlier
work on organic pigments, surface erosion appears to be the central
mechanism in pigment dispersion, even though the rate dependency of
the agglomerate diameter was expressed by exponents of, respectively,
2 and 3 for organic and inorganic particles. In summary, the population
balance model provides a quantitative description of the dispersion
process, which can be used for the optimization of energy consumption
and dispersion time. Furthermore, potential dispersion limitations,
such as the degree of presence of non-dispersible particle aggregates
in the pigment concentrate, can be evaluated.