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利用微宏观耦合方法模拟了棒状分子聚合物溶液在平板Couette流动中的复杂流变行为,其中微宏观模型通过非均匀Doi理论来描述.数值模拟中,应用有限体积方法耦合求解了介观尺度上的Smoluchowski方程和宏观尺度上的流场守恒方程.数值结果不仅得到了若干种典型的流动类型,而且还预测了另外两种新的复合瑕疵结构.数值试验表明:棒状分子聚合物的流变结构主要依赖于De数、分子相对尺度以及溶液浓度常数的取值;并且De数对分子指向矢的翻滚周期、随流取向角等微观特性也均有明显影响.
The micro-macroscopical coupling method was used to simulate the complex rheological behavior of the rod-shaped molecular polymer solution in the Couette flow. The micro-macro model was described by the non-uniform Doi theory. In the numerical simulation, the finite volume method was used to solve the mesoscopic scale The Smoluchowski equation and the flow field conservation equation on the macroscale.Numerical results not only obtained a number of typical flow patterns but also predicted two other new composite flaw structures.Numerical experiments show that the rheological structure of the rod-shaped molecular polymer Mainly depend on the number of De, the relative scale of molecules and the solution concentration constant value; and De number of the molecular director of the rolling cycle, with the flow orientation angle and other micro-characteristics also have a significant impact.