Modeling Crystallization from Solution with Heat Effects

Lakatos Bela G.; Szilagyi Botond

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Modeling Crystallization from Solution with Heat Effects

机译：通过热效应对溶液中的结晶进行建模

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The influence of latent heat of crystallization and the crystal-solution heat transfer in solution crystallization is analyzed by modeling the distribution of the released heat between the crystals and solution. The analysis is based on comparing two population balance models of a batch cooling crystallizer in both exothermic and endothermic crystallization: a bivariate model, characterizing the crystals by their size and mean temperature that allows differentiating the crystals mean temperature from the average temperature of solution, and the corresponding univariate model assuming fully homogeneous temperature field of the crystal suspension. The models include primary and secondary nucleation, and crystal growth taking into consideration the temperatures at which they occur. The numerical analysis was performed using the quadrature methods of moments. The computations revealed that the difference between the mean temperatures of crystals and the average temperature of solution under high rate dynamical conditions may be significant causing observable differences between the numbers of crystals and the mean crystal size. Endothermic crystallization resulted in significantly less number of crystals than the exothermic process produced. The growth and secondary nucleation, and the cooling rate proved to be the determining factors of the process.

机译：通过对晶体和溶液之间释放的热量的分布进行建模，分析了结晶潜热和溶液结晶过程中晶体-溶液传热的影响。该分析基于对分批冷却结晶器在放热和吸热结晶中的两种总体平衡模型的比较：双变量模型，通过晶体的大小和平均温度表征晶体，从而可以将晶体的平均温度与溶液的平均温度区分开来;假设晶体悬浮液的温度场完全均匀的相应单变量模型。该模型包括一次和二次成核，以及考虑到它们发生的温度的晶体生长。使用矩量的正交方法进行了数值分析。计算表明，在高速动力学条件下，晶体的平均温度与溶液的平均温度之间的差异可能很大，从而导致了晶体数量和平均晶体尺寸之间的可观察到的差异。吸热结晶产生的晶体数量明显少于产生的放热过程。生长和二次成核以及冷却速率被证明是该过程的决定性因素。

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《Crystal growth & design》 |2015年第12期|共12页
作者
Lakatos Bela G.; Szilagyi Botond;
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正文语种 eng
中图分类晶体学;
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Modeling Crystallization from Solution with Heat Effects

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