2021-01-012024-05-13https://scholars.lib.ntu.edu.tw/handle/123456789/651831Following on recent work by our group in the field of optimization of seeded batch crystallization, we propose to study three problems by application of optimal control theory (Pontryagin`s minimum principle) to a simple model of a seeded batch crystallizer. The method is computationally efficient and permits nearly-analytical results to be derived. The first problem we propose to consider is the determination of optimal control inputs for a large set of nucleation kinetics for a variety of chemical compounds that was compiled previously. The second problem that we propose to consider is the optimization two-dimensional crystallization systems with constraints on the crystal shape. The third problem that we propose to consider is the effect of seed properties on optimal control results for both one-dimensional and two-dimensional crystal systems and the determination of crystal size distributions after thermocycling using the ordinary method of moments. The solution of these problems will provide understanding of the inherent tradeoffs that are encountered in single-objective and multi-objective optimization of batch crystallization processes. Batch crystallization and more generally all solids processing unit operations are vital to the chemical and related industries, and the completion of the proposed project will also result in the training of students to model and understand these operations.Batch crystallization, Optimization, Pontryagin’s minimum principle