化学学报 ›› 2006, Vol. 64 ›› Issue (9): 906-910. 上一篇    下一篇

研究论文

溶液间歇结晶动力学模型的新型算法

黄德春1,2,王志祥2,刘巍3,孙岳明*,1   

  1. (1东南大学化学化工系 南京 210096)
    (2中国药科大学药学院 南京 210009)
    (3南京师范大学机械电子工程系 南京 210042)
  • 收稿日期:2005-06-30 修回日期:2006-01-05 出版日期:2006-05-15 发布日期:2006-05-15
  • 通讯作者: 孙岳明

New Algorithm of Kinetic Model for Solution Batch Crystallization

HUANG De-Chun1,2, WANG Zhi-Xiang2, LIU Wei3, SUN Yue-Ming*,1   

  1. (1 Department of Chemistry and Chemical Engineering, Southeast University, Nanjing 210096)
    (2 College of Pharmacy, China Pharmaceutical University, Nanjing 210009)
    (3 Department of Mechanical Electronics Engineering, Nanjing Normal University, Nanjing 210042)
  • Received:2005-06-30 Revised:2006-01-05 Online:2006-05-15 Published:2006-05-15
  • Contact: SUN Yue-Ming

针对溶液间歇结晶过程, 基于粒数衡算理论和ΔL定律, 借助分段归纳的研究方法, 建立了晶体粒度分布函数各阶矩量的关联式. 利用此关联式, 对文献模型中晶体粒度分布函数的二阶矩量进行替换, 并结合计算机程序设计, 可直接拟合得到结晶体系的成核和生长动力学参数, 从而为结晶动力学模型的求解建立了一种新型算法. 通过对文献报道的硝酸钾水溶液和混二甲苯溶液两组结晶数据的模拟计算, 结果发现, 运用该算法求取的结晶成核和生长动力学参数均与传统的矩量变换法的计算结果相近, 但新建算法无需预知结晶体系的总传热系数.

关键词: 溶液间歇结晶, 动力学模型, 新型算法

For solution batch crystallization, based on population balance theory and ΔL law, a correlation was established to calculate the moments of crystal size distribution by mathematical induction. With the correlation, the second moment of crystal size distribution in the kinetic model of literature was able to be replaced, and the parameters of nucleation and crystal growth rate were able to be directly acquired by computer program design. For two typical crystallizations of potassium nitrate aqueous solution and xylene solution reported in literature, the calculated results show that the acquired parameter values were agreed well with those fitted by the method of moments, and the value of transfer heat coefficient was not indispensable to kinetic parameter estimation in the new algorithm.

Key words: solution batch crystallization, kinetic model, new algorithm