Exploring the Influence of Solvation on Multidimensional Particle Size Distribution Based on the Spiral Growth Model and the Lattice Boltzmann Method

In the crystallization process, crystal morphology is one of the important indicators to measure the quality of the crystal products. However, the existing crystal size distribution ignores this key information. In this paper, a multidimensional particle size distribution prediction method based on the spiral growth model and the Lattice Boltzmann method (LBM) is proposed. First, the spiral growth model is used to establish the growth kinetic equations of the main crystal faces. Then, the established kinetic equations are combined with the multidimensional particle balance model. Next, the above model is solved by LBM. Finally, the above model is applied to two cases (benzoic acid and ibuprofen) to further explore the influence of the solvation effect on the particle size distribution and verified by crystallization experiments. The results show that the simulation and experimental values are in good agreement in the size range with a large number of particles.