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

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.
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https://hal.archives-ouvertes.fr/hal-03053999
Contributor : Ludovic Sacchelli <>
Submitted on : Friday, December 11, 2020 - 11:42:15 AM
Last modification on : Friday, January 22, 2021 - 10:50:04 AM
Long-term archiving on: : Friday, March 12, 2021 - 7:20:24 PM

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  • HAL Id : hal-03053999, version 1
  • ARXIV : 2012.08287

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Lucas Brivadis, Ludovic Sacchelli. New inversion methods for the single/multi-shape CLD-to-PSD problem with spheroid particles. 2020. ⟨hal-03053999⟩

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