论文标题
层状流体流动的定量粗透明在粗糙的边界中渗透
Quantitative coarse graining of laminar fluid flow penetration in rough boundaries
论文作者
论文摘要
描述了流体与壁之间的相互作用，并具有一定的边界条件，以表明壁的流体速度。为了了解流体在粗糙墙附近的表现，可以提供粗糙表面每个点的流体速度。这种方法需要详细的了解，并且可能很大程度上取决于粗糙度。建模粗壁边界条件的另一种方法是粗晶粒并提取渗透深度，平均流体渗透到粗糙度中。在这项工作中，我们表明，对于广泛的周期性粗糙度模式和相对流速度，可以获得通用的穿透深度功能。我们通过实验和互补数值模拟获得这些结果。我们的结果表明，墙壁粗糙度边界条件可以通过平均``滑移长度''捕获，因此表明表面图案对墙壁滑移产生了广泛的控制。
The interaction between a fluid and a wall is described with a certain boundary condition for the fluid velocity at the wall. To understand how fluids behave near a rough wall, the fluid velocity at every point of the rough surface may be provided. This approach requires detailed knowledge of, and likely depends strongly on the roughness. Another approach of modeling the boundary conditions of a rough wall is to coarse grain and extract a penetration depth over which on average the fluid penetrates into the roughness. In this work we show that for a broad range of periodic roughness patterns and relative flow velocities, a universal penetration depth function can be obtained. We obtain these results with experiments and complementary numerical simulations. Our results show that wall roughness boundary conditions can be captured with an average ``slip length'' and so indicate that surface patterning yields extensive control over wall slip.
