Morphology evolution of crystal populations: Modeling and observation analysis

The joint analysis of modeling and observation of crystallization systems with regard to shape is taken out. We start with the modeling and numerical solution of the balance equations for a seeded batch crystallizer accounting for crystal shape distributions. For this, a meshing algorithm is used to establish appropriate origins for characteristic curves of the population balance. The calculated number density evolution is sampled and the resulting representative crystal shapes are photographed. The orientation of the crystal relative to the photoplane is modeled as a stochastic process. Therefore, the projection cannot be related to the actual 3D shape in a trivial way. We design an estimation scheme and evaluate its reliability for some test populations. Finally, the number density evolution of a whole simulated experiment is observed at different sampling rates. We show that the underlying growth parameters can be reestimated from the observed data in a reliable way for which a relatively small number of samples is required.

► The joint analysis of modeling and observation of crystallization with regard to shape is taken out.
► A simulated density evolution is sampled and representative crystal shapes are photographed.
► An estimation scheme is proposed and its reliability is evaluated for some test populations.
► The underlying growth parameters can be reestimated from the observed data.