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New inversion methods for the single/multi-shape CLD-to-PSD problem with spheroid particles.
- 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]
- Subjects :
- *PARTICLE size distribution
*TIKHONOV regularization
*BATCH processing
Subjects
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