高等学校化学学报

高等学校化学学报

• 研究论文 • 上一篇    下一篇

非绝热聚合波的数学模拟

卢国冬, 燕青芝, 葛昌纯   

  1. 北京科技大学特种陶瓷与粉末冶金研究室, 北京 100083
  • 收稿日期:2006-12-08 修回日期:1900-01-01 出版日期:2007-08-10 发布日期:2007-08-10
  • 通讯作者: 燕青芝

Mathematical Modeling of Non-adiabatic Polymerization Fronts

LU Guo-Dong, YAN Qing-Zhi*, GE Chang-Chun   

  1. Laboratory of Special Ceramics and Powder Metallurgy, University of Science and Technology Beijing, Beijing 100083, China
  • Received:2006-12-08 Revised:1900-01-01 Online:2007-08-10 Published:2007-08-10
  • Contact: YAN Qing-Zhi

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摘要： 对非绝热波聚合体系进行了数学模拟, 将反应器尺寸与聚合波关联, 建立了非绝热条件下蔓延聚合波波速和最大波温的数学模型; 利用所建模型计算不同引发剂浓度、 不同环境温度、 不同试管直径下淀粉接枝聚合波的波速和波温, 并与实验测定值进行了比较. 结果表明, 非绝热聚合波的数学模型对无相变体系的拟合结果令人满意, 对聚合波的发生条件及反应器尺寸的影响有很好的预见性; 另一方面, 对于存在相变及与环境有质量交换的波聚合体系, 所建模型的预测性受到了限制.

关键词: 非绝热体系, 聚合波, 数学模拟, 反应器尺寸

Abstract: A mathematical model for simulating the front propagation process in a non-adiabatic system, including the effect of reactor size on propagating front, was developed. From the model, the expressions for the temperature at front and the front propagation velocity were derived. The model reliability was supported in comparison of its predictions, in terms of propagating velocity of the starch-grafting-acrylic acid propagation front, with the measured data under various conditions such as initiator concentration, initial temperature, and tube size when the formation of bubbles due to solvent evaporation was absent. On the other hand, the deviation of the theoretical values from the experimental data occurred when a large number of bubbles were formed during the reaction.

Key words: Non-adiabatic system, Polymerization front, Mathematical simulation, Reactor size

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