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New inversion methods for the single/multi-shape CLD-to-PSD problem with spheroid particles.

Authors :
Brivadis, Lucas
Sacchelli, Ludovic
Source :
Journal of Process Control. Jan2022, Vol. 109, p1-12. 12p.
Publication Year :
2022

Abstract

In this paper, we express the Chord Length Distribution (CLD) measure associated to a given Particle Size Distribution (PSD) when particles are modeled as suspended spheroids in a reactor. Using this approach, we propose two methods to reconstruct the unknown PSD from its CLD. In the single-shape case where all spheroids have the same shape, a Tikhonov regularization procedure is implemented. In the multi-shape case, the measured CLD mixes the contribution of the PSD associated to each shape. Then, an evolution model for a batch crystallization process allows to introduce a Back and Forth Nudging (BFN) algorithm, based on dynamical observers. We prove the convergence of this method when crystals are split into two clusters: spheres and elongated spheroids. These methods are illustrated with numerical simulations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09591524
Volume :
109
Database :
Academic Search Index
Journal :
Journal of Process Control
Publication Type :
Academic Journal
Accession number :
154340702
Full Text :
https://doi.org/10.1016/j.jprocont.2021.11.008