当前位置:
X-MOL 学术
›
Bull. Malays. Math. Sci. Soc.
›
论文详情
Our official English website, www.x-mol.net, welcomes your
feedback! (Note: you will need to create a separate account there.)
Analysis of the Roughness Regimes for Micropolar Fluids via Homogenization
Bulletin of the Malaysian Mathematical Sciences Society ( IF 1.0 ) Pub Date : 2020-09-25 , DOI: 10.1007/s40840-020-01027-1 Francisco J. Suárez-Grau
中文翻译:
通过均质作用分析微极性流体的粗糙度状况
更新日期:2020-09-25
Bulletin of the Malaysian Mathematical Sciences Society ( IF 1.0 ) Pub Date : 2020-09-25 , DOI: 10.1007/s40840-020-01027-1 Francisco J. Suárez-Grau
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.
中文翻译:
通过均质作用分析微极性流体的粗糙度状况
我们研究了厚度为\(\ eta _ \ varepsilon \)的薄域中的微极性流体流动的渐近行为,该区域的周期性振荡边界为波长\(\ varepsilon \)。我们考虑\(\ varepsilon \)趋于零时的极限,并且根据\(\ eta _ \ varepsilon / \ varepsilon \)的比率极限,我们证明了三种不同形式的存在。在每种情况下,我们都考虑了粗糙度的微观结构,得出了一个广义的雷诺方程。