Computational analysis of a contraction rheometer for the grade-two fluid model
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910398536482816 |
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| author | Pollock, Sara Scott, L. Ridgway |
| author_facet | Pollock, Sara Scott, L. Ridgway |
| contents | 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 $ν$ from experimental data. We also explore the identifiability of the grade-two parameters $α_1$ and $α_2$ from experimental data. In particular, as the flow rate varies, force data appears to be nearly the same for certain distinct pairs of values $α_1$ and $α_2$; however we determine a regime for $α_1$ and $α_2$ for which the parameters may be identifiable with a contraction rheometer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_03450 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Computational analysis of a contraction rheometer for the grade-two fluid model Pollock, Sara Scott, L. Ridgway Numerical Analysis 76A05, 65N30 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 $ν$ from experimental data. We also explore the identifiability of the grade-two parameters $α_1$ and $α_2$ from experimental data. In particular, as the flow rate varies, force data appears to be nearly the same for certain distinct pairs of values $α_1$ and $α_2$; however we determine a regime for $α_1$ and $α_2$ for which the parameters may be identifiable with a contraction rheometer. |
| title | Computational analysis of a contraction rheometer for the grade-two fluid model |
| topic | Numerical Analysis 76A05, 65N30 |
| url | https://arxiv.org/abs/2404.03450 |