Crystal Growth Rate Dispersion Modeling Using Morphological Population Balance
Crystal Growth Rate Dispersion Modeling Using Morphological Population Balance
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DOI：
10.1002/aic.11549
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发表时间：
2008-09
期刊：
影响因子：
3.7
通讯作者：
Cai Y. Ma;X. Wang
中科院分区：
文献类型：
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作者：
Cai Y. Ma;X. Wang
晶体在溶液中的生长是一个表面控制的过程。不同晶面生长速率的变化被认为是由于晶体单元胞中的分子排列以及不同晶面的晶体表面结构所致。因此，对于某些晶体，特定晶面的生长速率不仅是过饱和的函数，而且还取决于其他一些因素，如它的大小和晶格展开角。这种生长速率色散（GRD）或波动现象在文献中被描述为归因于实验研究中观察到的一些有趣和复杂的晶体结构的形成。本文将GRD引入到最近提出的形态种群平衡模型中，以模拟钾矾结晶过程中各个面方向晶粒尺寸分布的动态演变。钾矾是一种化学物质，已被报道显示出GRD现象和复杂的晶体结构。GRD是有效相对过饱和度的函数，有效相对过饱和度与晶体尺寸、晶格展开角、相对过饱和度和溶液温度直接相关。预测结果清楚地证明了GRD对晶体形状演变的显著影响。©2008美国化学工程师学会，2008
Crystal growth in solution is a surface‐controlled process. The variation of growth rates of different crystal faces is considered to be due to the molecular arrangement in the crystal unit cell as well as the crystal surface structures of different faces. As a result, for some crystals, the growth rate for a specific facet is not only a function of supersaturation, but also dependent on some other factors such as its size and the lattice spread angle. This phenomenon of growth rate dispersion (GRD) or fluctuation has been described in literature to have attributed to the formation of some interesting and sophisticated crystal structures observed in experimental studies. In this article, GRD is introduced to a recently proposed morphological population balance model to simulate the dynamic evolution of crystal size distribution in each face direction for the crystallization of potash alum, a chemical that has been reported to show GRD phenomenon and sophisticated crystal structures. The GRD is modeled as a function of the effective relative supersaturation, which is directly related to crystal size, lattice spread angle, relative supersaturation, and solution temperature. The predicted results clearly demonstrated the significant effect of GRD on the shape evolution of the crystals. © 2008 American Institute of Chemical Engineers AIChE J, 2008