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Computer Simulation of Anisotropic Polymeric Materials Using Polymerization-Induced Phase Separation under Combined Temperature and Concentration Gradients

机译:温度和浓度梯度联合作用下聚合诱导相分离的各向异性高分子材料的计算机模拟

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摘要

In this study, the self-condensation polymerization of a tri-functional monomer in a monomer-solvent mixture and the phase separation of the system were simultaneously modeled and simulated. Nonlinear Cahn–Hilliard and Flory–Huggins free energy theories incorporated with the kinetics of the polymerization reaction were utilized to develop the model. Linear temperature and concentration gradients singly and in combination were applied to the system. Eight cases which faced different ranges of initial concentration and/or temperature gradients in different directions, were studied. Various anisotropic structural morphologies were achieved. The numerical results were in good agreement with published data. The size analysis and structural characterization of the phase-separated system were also carried out using digital imaging software. The results showed that the phase separation occurred earlier in the section with a higher initial concentration and/or temperature, and, at a given time, the average equivalent diameter of the droplets <dave> was larger in this region. While smaller droplets formed later in the lower concentration/temperature regions, at the higher concentration/temperature side, the droplets went through phase separation longer, allowing them to reach the late stage of the phase separation where particles coarsened. In the intermediate stage of phase separation, <dave> was found proportional to t*α, where α was in the range between 13 and 12 for the cases studied and was consistent with published results.
机译:在这项研究中,对三官能单体在单体-溶剂混合物中的自缩聚和系统的相分离进行了建模和仿真。结合聚合反应动力学的非线性Cahn-Hilliard和Flory-Huggins自由能理论被用于开发模型。线性温度和浓度梯度分别或组合应用到系统中。研究了八种不同方向的初始浓度和/或温度梯度范围不同的情况。实现了各种各向异性的结构形态。数值结果与公开数据吻合良好。相分离系统的尺寸分析和结构表征也使用数字成像软件进行。结果表明,在具有较高初始浓度和/或温度的区域中,相分离较早发生,并且在给定时间,液滴的平均当量直径在该区域较大。当较小的液滴稍后在较低的浓度/温度区域中形成时,在较高的浓度/温度侧,液滴通过相分离的时间更长,从而使它们到达相分离的后期,在此颗粒变粗。在相分离的中间阶段,发现 t * α ,其中 α 的范围在 < mrow> 1 3 1 2 对于所研究的案例,与已发表的结果一致。

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