关于八甲基环四硅氧烷乳液聚合反应动力学的回归模拟

Regressing Simulation to the Kinetics of Emulsion Polymerization for Octamethylcyclotetrasiloxane

本文用数值逼近法对八甲基环四硅氧烷乳液聚合反应的实验结果进行模拟,得到一符合实验事实的动力学方程.

Based on the experiments of the emulsion polymerization for the octamethylcyclotetrasiloxane(D_(4)),the physical concepts are introduced in the equation to substitute the polynomial of Bernstein in the Euclid space after analyzing the inherent law of discrete relative variables so that the approximate processes can be simplified and a mathematical model according to the wide range of the experiments has been put forward for the polymerization of D_(4) in the following equation:-dc/dt=kc^(a(D))k=c_(0)θ.a(D)=1/A{∑_(n=1)^(13)1/n[(-1)^(n-1)(D-1)^(n)-(aD)^(n)]/(1-1/A·∑_(n=1)^(13)1/n·D^(n))},A=lnc_(0).The processes of D_(4) emulsion polymerization can be described with the model above.