Abstract

In this work, we numerically study the elastic contact between isotropic and anisotropic, rigid, randomly rough surfaces and linearly elastic counterfaces as well as the subsequent Reynolds flow through the gap between the two contacting solids. We find the percolation threshold to depend on the fluid flow direction when the Peklenik number indicates anisotropy unless the system size clearly exceeds the roll-off wave length parallel to the easy flow direction. A critical contact area near 0.415 is confirmed. Heuristically corrected effective-medium treatments satisfactorily provide Reynolds fluid flow conductances, e.g., for isotropic roughness, we identify accurate closed-form expressions, which only depend on the mean gap and the relative contact area.

Graphic Abstract

中文翻译：

---

各向同性和各向异性的随机粗糙表面弹性接触中的渗流和雷诺流

摘要

在这项工作中，我们通过数值研究各向同性和各向异性，刚性，随机粗糙表面和线性弹性对接面之间的弹性接触，以及随后的雷诺兹流经两个接触固体之间的间隙。当Peklenik数表示各向异性时，除非系统尺寸明显超过平行于易流动方向的滚降波长，否则我们发现渗流阈值取决于流体的流动方向。确认接近0.415的临界接触面积。启发式校正的有效介质处理可令人满意地提供雷诺流体流动电导，例如，对于各向同性粗糙度，我们确定了精确的闭合形式表达式，该表达式仅取决于平均间隙和相对接触面积。

图形摘要