Analysis of the roughness regimes for micropolar fluids via homogenization
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866909967853813760 |
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| author | Suárez-Grau, Francisco J. |
| author_facet | Suárez-Grau, Francisco J. |
| contents | We study the asymptotic behavior of micropolar fluid flows in a thin domain of thickness $η_\varepsilon$ with a periodic oscillating boundary with wavelength $\varepsilon$. We consider the limit when $\varepsilon$ tends to zero and, depending on the limit of the ratio of $η_\varepsilon/\varepsilon$, we prove the existence of three different regimes. In each regime, we derive a generalized Reynolds equation taking into account the microstructure of the roughness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1907_00628 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Analysis of the roughness regimes for micropolar fluids via homogenization Suárez-Grau, Francisco J. Analysis of PDEs 76D08, 76A20, 76A05, 76M50, 35B27, 35Q35 We study the asymptotic behavior of micropolar fluid flows in a thin domain of thickness $η_\varepsilon$ with a periodic oscillating boundary with wavelength $\varepsilon$. We consider the limit when $\varepsilon$ tends to zero and, depending on the limit of the ratio of $η_\varepsilon/\varepsilon$, we prove the existence of three different regimes. In each regime, we derive a generalized Reynolds equation taking into account the microstructure of the roughness. |
| title | Analysis of the roughness regimes for micropolar fluids via homogenization |
| topic | Analysis of PDEs 76D08, 76A20, 76A05, 76M50, 35B27, 35Q35 |
| url | https://arxiv.org/abs/1907.00628 |