Modeling of the Suspension Polymerization Process Using a Particle Population Balance
Modeling of the Suspension Polymerization Process Using a Particle Population Balance
复制标题
使用粒子群平衡对悬浮聚合过程进行建模
DOI：
10.1002/(sici)1521-4125(199907)22:7
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
H. Warnecke
中科院分区：
文献类型：
--
作者：
Zhong Chen;W. Pauer;H. Moritz;J. Prüss;H. Warnecke
基于粒子群平衡和自由基悬浮聚合的动力学机理，提出了悬浮聚合过程的数学模型。群体平衡模型描述了分散系统中涉及粒度分布 (PSD) 的机制，从而得出积分微分方程。这项工作的基本数值方法是使用具有对数尺度的颗粒尺寸的有限差分微分技术。然后问题被简化为获得一组非线性常微分方程的数值解。将数值解与实验数据（例如包括凝胶效应和粒度分布的反应转化率）进行比较，以通过 Marquardt 方法得出模型参数。回归显示出相当好的准确性。
On the basis of a population balance and the kinetic mechanism of free-radical suspension polymerization, a mathematical model of the suspension polymerization process is proposed. The population balance model which describes a mechanism involving the particle size distribution (PSD) in disperse systems leads to an integrodifferential equation. The basic numerical approach of this work is to use the finite-difference-differential technique with the logarithmic scale for particle size. The problem then was reduced to obtaining the numerical solution of a set of nonlinear ordinary differential equations. The numerical solutions were compared to experimental data, such as the reaction conversion which includes the gel effect and the particle size distributions, to yield the model parameters by Marquardt's method. The regression demonstrates reasonably good accuracy.