A kinetic model is proposed to describe the formation of hyperbranched polymers, HBPs, by the self-condensing vinyl polymerization, SCVP, of inimers in a continuous stirred tank reactor, CSTR, with the addition of trifunctional cores. The dependence of the average degree of polymerization, DP, and the degree of branching, DB, on the Damköhler number, Da, is calculated by a generating function method. If the SCVP system has no core initiators, the flow in the CSTR may be stopped at a Da of approximately 0.5, which is caused by the formation of HBPs with ultrahigh molecular weights; then, the stable operating range becomes very narrow. The growth of HBPs in the SCVP can be retarded by adding the core with high reactivity into the CSTR. Therefore, formation of HBPs with ultrahigh molecular weights can be avoided even though the A groups are almost completely consumed at a high Da number. For example, the reduced weight-average DP is less than 1000 when the degree of conversion of the A group is 0.99, and only a few unreacted monomers remain in the product. The proposed model is useful for designing and optimizing a flow process for producing HBPs by the SCVP in a CSTR.

提出了一个动力学模型来描述在连续搅拌釜反应器CSTR中，加有三官能团核的情况下，惰性分子的自缩合乙烯基聚合反应SCVP形成超支化聚合物HBP。通过生成函数方法计算平均聚合度DP和支化度DB对Damköhler数Da的依赖性。如果SCVP系统没有核心引发剂，则CSTR中的流量可能会停止在Da约为0.5时，这是由于形成具有超高分子量的HBP引起的；然后，稳定的工作范围变得非常狭窄。通过向CSTR中添加具有高反应活性的核心，可以抑制SCVP中HBP的生长。所以，即使以高Da数几乎完全消耗掉了A基团，也可以避免形成具有超高分子量的HBP。例如，当A基团的转化度为0.99时，重均降低的DP小于1000，并且产物中仅保留少量未反应的单体。所提出的模型对于设计和优化由CSTR中的SCVP生产HBP的流程是有用的。