泡沫塑料气泡溶解过程数学模型研究

气泡溶解是泡沫塑料加工中的重要工序,为了深入分析泡沫微孔塑料气泡在聚合物溶解过程中的数学模型,分别采用非牛顿流体和牛顿流体的本构方程模拟了气泡溶解过程,在此基础上对静止溶体中的气泡扩散溶解进行观察,在假设溶体不可压缩、聚合物溶体在膨胀和溶解过程中物理性质不变并忽略惯性的情况下,利用数值分析中的欧拉法对数学模型进行简化。最后通过实验进行仿真,设计了3组实验,观察气泡半径的变化。实验结果表明:研究所采用的数学模型能很好地贴合聚合物溶解的过程,仿真的结果和实际情况高度契合,因此本研究的模型可以为微孔泡沫塑料生产提供有益参考。

Study on Mathematical Model of Bubble Dissolving Process of Foam Plastics

Bubble dissolution is one of the important factors in the processing of foamed plastics. In order to analyze the mathematical model of bubble in the polymer dissolution process of foamed microcellular plastics, this paper used the constitutive equation of non Newtonian and Newtonian fluid properties to simulate the bubble dissolution process. On this basis, the bubble diffusion dissolution in the static solution was observed, and it was polymerized in the process of assuming that the melt was incompressible, expanded and dissolved. The mathematical model was simplified by the Euler method in numerical analysis when the physical properties of the melt were unchanged and the inertia was ignored. At last, three groups of experiments were designed to observe the change of bubble radius through experiments. The experimental results show that the mathematical model can well fit the process of polymer dissolution, and the simulation results are highly consistent with the actual situation. Therefore, the model in this paper can provide a useful reference for the production process of microcellular foam.