Kinetics of secondary nucleation with attrition and the mean size of product crystals from the continuous stirred crystalliser

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Abstract
A form of kinetic equation of nucleation has been proposed expressing also the mechanism of attrition of crystals. In limiting cases this equation expresses the secondary nucleation due to attrition or caused by other mechanisms while both limit expressions are quite different. The resulting relation enables correlation of experimental data also in the case when it is not possible to neglect any of the mentioned phenomena. Relation has been derived for the mean size of product crystals from the MSMPR (mixed suspension, mixed product removal) crystalliser showing that in cases with the prevailing attrition of crystals it might be advantageous to operate at a larger crystalliser output i.e. with a shorter residence time of crystals in the unit.