标题： 粗糙边界和非零边界条件对微极流体润滑过程的影响 显示英文标题

标题： Effects of rough boundary and nonzero boundary conditions on the lubrication process with micropolar fluid

摘要： 润滑理论主要关注润滑剂在狭窄间隙中流动的行为。 受摩擦学文献中实验结果的启发，我们将润滑剂视为微极流体，并研究其在具有粗糙边界的薄域中的行为。 我们不考虑常用的简单零边界条件，而是施加物理上有意义的（非零）微旋转边界条件，并对相应的三维边界值问题进行渐近分析。 我们形式上推导出一个简化的数学模型，承认粗糙度引起的效应以及非零边界条件对宏观流动的影响。 利用得到的渐近模型，我们数值研究了特定粗糙度剖面对线性滑动轴承性能的影响。 数值结果清楚地表明，使用粗糙表面可能有助于提高此类装置的机械性能。 显示英文摘要

摘要： The lubrication theory is mostly concerned with the behavior of a lubricant flowing through a narrow gap. Motivated by the experimental findings from the tribology literature, we take the lubricant to be micropolar fluid and study its behavior in a thin domain with rough boundary. Instead of considering (commonly used) simple zero boundary condition, we impose physically relevant (nonzero) boundary condition for microrotation and perform asymptotic analysis of the corresponding 3D boundary value problem. We formally derive a simplified mathematical model acknowledging the roughness-induced effects and the effects of the nonzero boundary conditions on the macroscopic flow. Using the obtained asymptotic model, we study numerically the influence of the specific rugosity profile on the performance of a linear slider bearing. The numerical results clearly indicate that the use of the rough surfaces may contribute to enhance the mechanical performance of such device.