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Estimation of particle size distribution and aspect ratio of non-spherical particles from chord length distribution

机译:从弦长分布估算非球形颗粒的粒径分布和长宽比

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摘要

Information about size and shape of particles produced in various manufacturing processes is very important for process and product development because design of downstream processes as well as final product properties strongly depend on these geometrical particle attributes. However, recovery of particle size and shape information in situ during crystallisation processes has been a major challenge. The focused beam reflectance measurement (FBRM) provides the chord length distribution (CLD) of a population of particles in a suspension flowing close to the sensor window. Recovery of size and shape information from the CLD requires a model relating particle size and shape to its CLD as well as solving the corresponding inverse problem.This paper presents a comprehensive algorithm which produces estimates of particle size distribution and particle aspect ratio from measured CLD data. While the algorithm searches for a global best solution to the inverse problem without requiring further a priori information on the range of particle sizes present in the population or aspect ratio of particles, suitable regularisation techniques based on relevant additional information can be implemented as required to obtain physically reasonable size distributions. We used the algorithm to analyse CLD data for samples of needle-like crystalline particles of various lengths using two previously published CLD models for ellipsoids and for thin cylinders to estimate particle size distribution and shape. We found that the thin cylinder model yielded significantly better agreement with experimental data, while estimated particle size distributions and aspect ratios were in good agreement with those obtained from imaging.
机译:有关在各种制造过程中生产的颗粒的大小和形状的信息对于过程和产品开发非常重要,因为下游过程的设计以及最终产品的性能强烈取决于这些几何颗粒属性。然而,在结晶过程中原位恢复粒度和形状信息一直是主要挑战。聚焦光束反射率测量(FBRM)提供悬浮液中接近传感器窗口流动的粒子群的弦长分布(CLD)。要从CLD中恢复尺寸和形状信息,需要一个将颗粒尺寸和形状与其CLD相关联的模型,并解决相应的逆问题。本文提出了一种综合算法,该算法可以根据测得的CLD数据估算颗粒尺寸分布和颗粒长宽比。尽管该算法无需任何先验信息就可以找到反问题的全局最佳解,而无需进一步了解存在于粒子总数或纵横比中的粒子大小范围,但可以根据需要实施基于相关附加信息的适当正则化技术,以获得物理上合理的尺寸分布。我们使用该算法使用两个以前发布的椭圆形和薄圆柱体CLD模型来分析各种长度的针状晶体颗粒样品的CLD数据,以估计粒度分布和形状。我们发现,薄圆柱体模型与实验数据的一致性更好,而估计的粒度分布和纵横比与从成像获得的结果非常吻合。

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