Model‐Based Optimization of Ripening Processes with Feedback Modules

Abstract

In order to obtain high-quality particulate products with tailored properties, process conditions and their evolution in time must be chosen appropriately. Although the efficiency of these products depends on their dispersity in several dimensions, in established processes the particle size is usually the decisive variable to adjust. As part of the synthesis of these products, feedback modules are often incorporated so that a time-dependent ratio of the obtained product can flow back into the system. Moreover, the synthesis should be an energy-and resource-efficient process. To provide a means of ensuring this requirement, a model-and gradient-based, numerically efficient optimization tool for particle synthesis is presented which was developed to describe population balance equations incorporating feedback terms.

Dynamic Multi‐Objective Optimization of Autocatalytic Esterification in a Semi‐Batch Reactor

“…Model-based optimization for obtaining the optimum ER conditions in a semi-batch reactor is a practical approach for decision-makers to attain the best performance with the least cost and effort [4]. Differential algebraic equations (DAE) and mixed systems of ordinary differential equations (ODE) with technological limitations have been applied to develop the mathematical model of the ER in a semi-batch reactor working under transient conditions.…”

Dynamic Optimization of Autocatalytic Esterification in a Semi‐batch Reactor

“…In the experimental optimization, a series of trials requires consumption of a high volume of chemical reagents that are prohibitively expensive 4. Optimizing the process by mathematical simulation, on the other hand, is a less costly alternative 5. Besides, modeling the esterification through a simulation can minimize the costs associated with the experimental trials and improve the process efficiency.…”

A general result on the approximation of local conservation laws by nonlocal conservation laws: The singular limit problem for exponential kernels

“…Nonlocal conservation laws have been studied and analyzed quite intensively over the last decade from an application point of view with a particular focus on traffic flow [5,20,30,45,53,37], supply chains [39,55,32], pedestrian flow/crowd dynamics [21], opinion formation [2,51], chemical engineering [50,57], sedimentation [6], conveyor belts [54] and more. For the underlying dynamics existence and uniqueness [35,40,45,44,46,12,25], (optimal) control problems [33,4,14,19,38,24], and suitable numerical schemes [1,11,13,28,52] have been analyzed.…”