多分散聚合物稀溶液体系的Rouse模型

Linear Viscoelastic Behavior of Dilute Polymer Solution with Molecular Weight Distribution

本文将Rouse提出的均一分布球簧链式分子模型加以推广.得到了多分散体系的本构方程.对几种最常见的分子量分布,在稳态剪切流中,分别计算了它们的物质函数以及特性粘数与重均聚合度的关系.结果表明,这一线性模型的流变性质与聚合物的分子量分布有密切的关系;若通过物质函数的监测,则还能预示聚合反应的动态过程.

In this Paper, the bead-spring model of N identical beads advanced by Rouse is extended to that of a polymer solution with molecular weight distribution, and the rheological equation of state for the modified Rouse model with different chain lengths is obtained. According to some usual molecular weight distributions, the material functions, such as non-newtonian viscosity and first normal stress coefficient, for the steady-state shear flow and, therefore, the relationship between the intrinsic viscosity and the weight average degree of polymerization are derived. The results show that the linear viscoelastic behavior of this model depends on molecular weight distribution greatly. The kinetic pracess of polymerization can be predicted by measuring the rheological parameters of the system.