We explore the possibility of simulating the grade-two fluid model in a geometry related to a contraction rheometer, and we provide details on several key aspects of the computation. We show how the results can be used to determine the viscosity $\nu$ from experimental data. We also explore the identifiability of the grade-two parameters $\alpha_1$ and $\alpha_2$ from experimental data. In particular, as the flow rate varies, force data appears to be nearly the same for certain distinct pairs of values $\alpha_1$ and $\alpha_2$; however we determine a regime for $\alpha_1$ and $\alpha_2$ for which the parameters may be identifiable with a contraction rheometer.

翻译：我们探索了在与收缩流变仪相关的几何构型中模拟二级流体模型的可能性，并详细阐述了计算中的若干关键方面。我们展示了如何利用数值结果从实验数据中确定粘度$\nu$。同时，我们还研究了从实验数据中识别二级流体参数$\alpha_1$和$\alpha_2$的可辨识性。特别地，当流速变化时，某些不同的$\alpha_1$和$\alpha_2$参数对所产生的力数据近乎相同；然而，我们确定了可通过收缩流变仪实现参数识别的$\alpha_1$和$\alpha_2$取值范围。