Optimization of particle synthesis

粒子合成的优化

• 批准号: 25250473
• 负责人: Professor Dr. Günter Leugering
• 金额: --
• 依托单位: Lehrstuhl für Angewandte Mathematik II
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2006
• 资助国家: 德国
• 起止时间: 2005-12-31 至 2012-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/25250473?language=en
• 关键词: Optimization; particle; synthesis

The economic production of particulate products with exactly pre-defined characteristics is of enormous relevance. Although there are different particle formation routes they may all be described by one class of equations. Therefore, simulation of such processes comprises solution of nonlinear, hyperbolic integro-partial differential equations. This project aims to study this class of equations in order to develop efficient tools for the inverse solution, i.e. determining the optimal process conditions and reactor geometry to achieve a desired product property. This objective is approached by a joint effort of the mathematics and the engineering faculty. Two model-processes are chosen for this study, namely a precipitation process and a highly innovative aerosol process with a nozzle flow allowing for precise control of residence time and temperature and therefore promising to deliver products with unique properties. Since the overall problem is far too complex to be solved in one step a hierarchical sequence of simplified problems has been derived which will be solved consecutively. Model reduction as well as highly innovative mathematical methods (e.g. domain decomposition, second-order optimal-control methods, SQP method) shall be used which have not been applied to similar problems so far. Finally, the simulations will be subject to comparison with experiments.

具有精确预定特性的颗粒产品的经济生产具有巨大的相关性。虽然有不同的粒子形成路线，但它们都可以由一类方程描述。因此，这种过程的模拟包括非线性、双曲型积分-偏微分方程的解。该项目旨在研究这类方程，以开发用于逆解的有效工具，即确定最佳工艺条件和反应器几何形状，以实现所需的产品性质。这一目标是由数学和工程学院的共同努力接近。本研究选择了两种模型工艺，即沉淀工艺和具有喷嘴流量的高度创新的气溶胶工艺，可以精确控制停留时间和温度，因此有望提供具有独特性能的产品。由于整个问题太复杂，无法一步解决，因此推导出了一系列简化问题的层次序列，这些问题将连续解决。应使用模型简化以及高度创新的数学方法（例如，区域分解、二阶最优控制方法、SQP方法），这些方法迄今尚未应用于类似问题。最后，模拟将与实验进行比较。