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Agglomeration of Needle-like Crystals in Suspension. II. Modeling

机译：悬浮液中针状晶体的聚集。二。造型

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摘要

A population balance model for the agglomeration of nonspherical particles in a well-mixed batch reactor is presented. In the model, two separate distributions are used: one for primary particles, which are described by multiple characteristic sizes, and one for agglomerates, which are characterized only by their volume. The two coupled population balance equations describing the evolution of both particle populations over time are solved in parallel together with the material balance. The output of the model for varying operating conditions and using different agglomeration kernels including two simple, shape-sensitive functions is assessed and finally compared to experimental results for needle-like crystals reported in the first part of this series. It is found that the qualitative trends for three important characteristics, the average needle length, the average width, and the total agglomeration degree, are well-described by all kernels. However, the average aspect ratio of primary particles, as well as the particle size and shape distribution of primary particles in general, are described better with the shape-sensitive kernels.
机译：提出了一个混合均匀的间歇反应器中非球形颗粒团聚的种群平衡模型。在该模型中，使用了两个单独的分布：一个用于初级粒子，由多个特征尺寸描述，另一个用于附聚物，其仅由其体积表征。描述了两个粒子种群随时间的演变的两个耦合的种群平衡方程与物质平衡并行求解。评估了在不同操作条件下和使用包括两个简单的形状敏感函数的不同凝聚核的模型输出，并最终与本系列第一部分中报道的针状晶体的实验结果进行了比较。结果发现，所有内核都很好地描述了三个重要特征的定性趋势，即平均针长，平均宽度和总聚集度。但是，对于形状敏感的内核，可以更好地描述一次颗粒的平均长径比以及通常的一次颗粒的粒径和形状分布。

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