Estimation of particle size distribution and aspect ratio of non-spherical particles from chord length distribution
Estimation of particle size distribution and aspect ratio of non-spherical particles from chord length distribution
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DOI：
10.1016/j.ces.2014.11.014
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发表时间：
2015-02-17
影响因子：
4.7
通讯作者：
Mulholland, Anthony J.
中科院分区：
文献类型：
--
作者：
Agimelen, Okpeafoh S.;Hamilton, Peter;Mulholland, Anthony J.
关于各种制造过程中产生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依赖于这些几何颗粒属性。然而，在结晶过程中原位恢复颗粒尺寸和形状信息一直是一个主要挑战。聚焦光束反射测量（FBRM）提供了靠近传感器窗口的悬浮液中粒子群的弦长分布（CLD）。从CLD中恢复粒度和形状信息需要建立粒径和形状与其CLD的关联模型，并求解相应的逆问题。本文提出了一种利用实测CLD数据估计颗粒尺寸分布和颗粒长宽比的综合算法。虽然该算法搜索逆问题的全局最优解，而不需要进一步的先验信息，即在种群中存在的粒径范围或颗粒的纵横比，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粒径分布。我们使用该算法分析了不同长度针状晶体颗粒样品的CLD数据，使用了两个先前发表的椭球体和薄圆柱体的CLD模型来估计颗粒大小分布和形状。我们发现薄圆柱体模型与实验数据的一致性明显更好，而估计的粒径分布和纵横比与成像结果吻合得很好。(C) 2014 Elsevier Ltd.版权所有。
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. (C) 2014 Elsevier Ltd. All rights reserved.