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New effective‐nuclei concept for simplified analysis of batch crystallization
Author(s) -
Yokota Masaaki,
Sato Akira,
Kubota Noriaki
Publication year - 1999
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690450906
Subject(s) - supersaturation , economies of agglomeration , crystallization , population balance equation , constant (computer programming) , population , crystal (programming language) , crystal growth , chemistry , thermodynamics , chemical physics , statistical physics , materials science , crystallography , physics , chemical engineering , computer science , engineering , sociology , programming language , demography
A new “effective nuclei” concept for a simplified approach to the analysis of batch crystallization with agglomeration is proposed. The new effective‐nuclei concept comes from agglomeration characteristics observed experimentally in a batch crystallizer. Small‐sized crystals could combine with both large‐sized crystals and each other. Agglomeration among large‐sized crystals can be neglected. From these experimental results, new effective nuclei are defined as crystals at a size‐boundary between small‐sized crystals and large‐4sized crystals. By taking into account only large‐sized crystals in formulating population balance equation, the agglomeration term can be omitted. The analytical solution of the population balance equation is induced for an ideal batch‐cooling case (constant supersaturation and constant effective growth rate of crystal). The solution explains measured data well.