Computational analysis of a contraction rheometer for the grade-two fluid model
<|reference_start|>Computational analysis of a contraction rheometer for the grade-two fluid model: 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.<|reference_end|>
@article{pollock2024computational,
    title={Computational analysis of a contraction rheometer for the grade-two
  fluid model},
    author={Sara Pollock and L. Ridgway Scott},
    journal={arXiv preprint arXiv:2404.03450},
    year={2024},
    archivePrefix={arXiv},
    eprint={2404.03450},
    primaryClass={math.NA cs.NA}
}