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arXiv · 1907.00628

Analysis of the roughness regimes for micropolar fluids via homogenization

Francisco J. Suárez-Grau
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Abstract

We study the asymptotic behavior of micropolar fluid flows in a thin domain of thickness $\eta_\varepsilon$ 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 $\eta_\varepsilon/\varepsilon$, 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.

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Francisco J. Suárez-Grau. 2019-07-01. Analysis of the roughness regimes for micropolar fluids via homogenization. https://doi.org/10.1007/s40840-020-01027-1

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