Abstract.

We derive approximate mean field equations for the fluid flow between elastic solids with randomly rough surfaces including interfacial fluid slip and shear thinning. We present numerical results for the fluid flow and friction factors for realistic systems, in particular, we consider the case of an elastic cylinder with random surface roughness in relative sliding contact with a flat rigid (low-energy) counter-surface. We present experimental data for the sliding friction between rubber stoppers and glass barrels lubricated with baked-on silicone oil. We find that the frictional shear stress acting in the rubber asperity contact regions is nearly velocity independent for velocities in the 10-1000μm/s range, and very small \( \tau_{{\rm f}} \approx 0.04\) MPa, while for bare glass in silicone oil \( \tau_{{\rm f}}\) is much larger and velocity dependent.

Graphical abstract

中文翻译：

---

润滑的滑动摩擦：界面流体滑移和表面粗糙度的作用。

摘要。

我们推导出具有随机粗糙表面的弹性固体之间的流体流动的近似平均场方程，包括界面流体滑移和剪切稀化。我们给出了用于实际系统的流体流动和摩擦系数的数值结果，特别是考虑了弹性圆柱体的情况，该圆柱体在与平坦的刚性（低能量）相对表面的相对滑动接触中具有随机的表面粗糙度。我们提供了橡胶塞和用烘烤过的硅油润滑的玻璃桶之间的滑动摩擦的实验数据。我们发现，在10-1000μm/ s的范围内，作用于橡胶粗糙接触区域的摩擦切应力几乎与速度无关，并且非常小\（\ tau _ {{\ rm f}} \大约0.04 \） MPa，而硅油中的裸露玻璃\（\ tau _ {{\ rm f}} \）大得多并且与速度有关。

图形概要