论文标题
带有球体颗粒的单个/多形CLD到PSD问题的新反转方法
New inversion methods for the single/multi-shape CLD-to-PSD problem with spheroid particles
论文作者
论文摘要
在本文中，当将颗粒建模为反应器中的悬浮球体时，我们表达与给定粒径分布（PSD）相关的和弦长度分布（CLD）度量。使用这种方法，我们提出了两种方法来从其CLD中重建未知的PSD。在所有球体都具有相同形状的单形情况下，实施了Tikhonov正则化过程。在多形情况下，测得的CLD混合了与每种形状相关的PSD的贡献。然后，用于批处理结晶过程的进化模型允许基于动态观察者引入来回轻推（BFN）算法。当晶体分为两个簇时，我们证明了这种方法的收敛性：球形和拉长球体。这些方法用数值模拟说明。
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.
