Abstract
A discretized population-balance approach based on a coalescence model is presented in this paper. The population-balance equation was tested for its validity by applying it to two special cases: constant collision-rate function and orthokinetic aggregation of monosized particles. Numerical solutions obtained for these two cases were compared with simplified solutions available in the literature. The size distribution of flocculated suspensions as observed in shear-flocculation in stirred tanks can be predicted by this method. An empirical collision-efficiency function obtained from small-scale laboratory tests was incorporated into the orthokinetic mechanism to limit floc growth to a maximum stable size. The size distribution of flocculated suspensions in a larger tank of similar geometry can be calculated from this method which was found to be satisfactory for the scheelite-sodium oleate system used in laboratory tests.
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