Mathematical modelling of a thin-film flow obeying Carreau's law without high-rate viscosity
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912523546001408 |
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| author | Anguiano, María Suárez-Grau, Francisco J. |
| author_facet | Anguiano, María Suárez-Grau, Francisco J. |
| contents | In this paper, we derive an extension of the Reynolds law for quasi-Newtonian fluid flows through a thin domain with thickness $0<\varepsilon\ll 1$ with viscosity obeying the Carreau law without high-rate viscosity, by applying asymptotic analysis with respect to $\varepsilon$. This provides a framework for understanding how the non-Newtonian effects and the thickness of the domain (which is significantly smaller than the other dimensions) influence its flow behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_04617 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mathematical modelling of a thin-film flow obeying Carreau's law without high-rate viscosity Anguiano, María Suárez-Grau, Francisco J. Analysis of PDEs 35B27, 35Q35, 76A05, 76M50, 76A20 In this paper, we derive an extension of the Reynolds law for quasi-Newtonian fluid flows through a thin domain with thickness $0<\varepsilon\ll 1$ with viscosity obeying the Carreau law without high-rate viscosity, by applying asymptotic analysis with respect to $\varepsilon$. This provides a framework for understanding how the non-Newtonian effects and the thickness of the domain (which is significantly smaller than the other dimensions) influence its flow behavior. |
| title | Mathematical modelling of a thin-film flow obeying Carreau's law without high-rate viscosity |
| topic | Analysis of PDEs 35B27, 35Q35, 76A05, 76M50, 76A20 |
| url | https://arxiv.org/abs/2508.04617 |