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The use of population balances for product design of crystallization processes

: Weiß, C.; Hennig, T.; Kümmel, R.

PARTEC 2001. Proceedings. CD-ROM : International Congress for Particle Technology, Nuremberg, Germany, 27 - 29 March 2001
Nürnberg: NürnbergMesse GmbH, 2001
International Congress for Particle Technology (PARTEC) <8, 2001, Nürnberg>
Conference Paper
Fraunhofer UMSICHT Oberhausen ()
population balance; crystallisation; crystal size; crystal size distribution; disperse Phase; Populationsbilanz; Kristallisation; Kristallgröße; Teilchengrößenverteilung

Over the last few years, product design has gained increasing importance, due to the fact that solid products have to meet an ever larger number of demands. Crystallization processes differ from other processes where materials have merely to be separated from each other in the way that not only separation is required but also the final shape of the solid particles is significant. Crystals often have to be produced with high purity, specific mean diameter and narrow particle size distribution, spherical shape and specific internal structure. For the production of nanoparticles, agglomeration of primary nuclei is very important. In order to give a more detailed description of particle formation processes, population balances have to be solved. They are the mathematical tool to calculate crystal size distributions as a function of space and time. At given process parameters, the particle size distribution and other important characteristics of a solid product may be calculated. Alternatively, optimized process parameters for meeting specific demands put on the single solid product (almost dustless powders, high filtrability) may be found. This contribution outlines the theory of population balances. Three mathematical methods to solve such equations will be presented, and, finally, the application of population-balances for product design will be discussed for crystallization processes in disperse phases.