Mathematical modeling of polymerization reactors

聚合反应器的数学建模

基本信息

批准号：
194170-2010
负责人：
McAuley, Kimberley
金额：
$ 2.91万
依托单位：
Queen's University
依托单位国家：
加拿大
项目类别：
Discovery Grants Program - Individual
财政年份：
2014
资助国家：
加拿大
起止时间：
2014-01-01 至 2015-12-31
项目状态：
已结题

来源：
https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=546068
关键词：
Mathematical modeling polymerization reactors

项目摘要

Polymers are used in everyday products such as plastic containers and textiles, and also in specialized medical applications. Chemical reactions required to produce polymers are carried out in polymerization reactors. Mathematical equations (a model) can be used to describe how polymerization reactor conditions (temperature, and the concentrations of different chemicals) affect the properties of the polymers that are produced. Most of my research is aimed at mathematical modeling of polymerization reactors. Companies use my models to gain improved understanding of their polymerization processes, to improve product quality, and to increase production rates. In recent years, I have expanded my work to include mathematical modeling of polymer gel dosimeters, which are used to calibrate radiation doses delivered by cancer radiotherapy equipment. These models help medical physicists to understand chemical and physical processes that occur in their dosimeters, and will help them to ensure that the correct radiation doses are being delivered to the correct locations in patients' bodies. I also develop mathematical modeling and statistical techniques that assist other modelers. In this proposal, funds are requested for five research topics. In the first, models will be developed to predict product quality in industrial nylon reactors, using experimental data from our lab. In the second, models will be developed for different types of gel dosimeters, so that benefits and short-comings can be better assessed, and improved dosimeters can be designed. In the third, models will be developed to predict the properties of branched polymers, to assist in the design of new materials for biomedical applications. In the fourth and fifth, statistical tools will be developed to assist modelers in finding appropriate values of parameters, which are required when models are used to make predictions. These statistical tools will result in more effective use of experimental data and more reliable model predictions. Most of the budget requested will be spent on salaries for graduate students, who will receive valuable training in polymerization reaction engineering, mathematical modeling and applied statistics.

聚合物用于日常产品，例如塑料容器和纺织品，以及专门的医疗应用。产生聚合物所需的化学反应是在聚合反应器中进行的。数学方程（模型）可用于描述聚合反应器条件（温度和不同化学物质的浓度）如何影响产生的聚合物的性质。我的大部分研究旨在聚合反应堆的数学建模。公司使用我的模型来提高对聚合过程的了解，提高产品质量并提高生产率。近年来，我将工作扩展到包括聚合物凝胶剂量计的数学建模，这些模型用于校准通过癌症放射疗法设备提供的辐射剂量。这些模型有助于医学物理学家了解其剂量计中发生的化学和物理过程，并将帮助他们确保将正确的辐射剂量交付到患者体内正确位置。我还开发了帮助其他建模者的数学建模和统计技术。在此提案中，要求资金涉及五个研究主题。首先，将使用我们实验室的实验数据开发模型来预测工业尼龙反应堆的产品质量。在第二个中，将针对不同类型的凝胶剂量计开发模型，以便可以更好地评估好处和短路，并可以设计改进的剂量计。在第三章中，将开发模型来预测分支聚合物的性质，以帮助设计新材料的生物医学应用。在第四和第五，将开发统计工具，以帮助建模者找到适当的参数值，这是在模型进行预测时所需的。这些统计工具将更有效地利用实验数据和更可靠的模型预测。所要求的大多数预算都将用于研究生的薪水，他们将在聚合反应工程，数学建模和应用统计方面接受宝贵的培训。