New effective-nuclei concept for simplified analysis of batch crystallization

Authors

  • Masaaki Yokota,

    Corresponding author
    1. Dept. of Applied Chemstry and Molecular Science, Iwate University, 4-3-5 Ueda, Morioka 020, Japan
    • Dept. of Applied Chemstry and Molecular Science, Iwate University, 4-3-5 Ueda, Morioka 020, Japan
    Search for more papers by this author
  • Akira Sato,

    1. Dept. of Applied Chemstry and Molecular Science, Iwate University, 4-3-5 Ueda, Morioka 020, Japan
    Search for more papers by this author
  • Noriaki Kubota

    1. Dept. of Applied Chemstry and Molecular Science, Iwate University, 4-3-5 Ueda, Morioka 020, Japan
    Search for more papers by this author

Abstract

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.

Ancillary