Frictional slip lengths for unidirectional superhydrophobic grooved surfaces
Frictional slip lengths for unidirectional superhydrophobic grooved surfaces
复制标题
DOI：
10.1063/1.3605575
复制
发表时间：
2011-07
影响因子：
4.6
通讯作者：
D. Crowdy
中科院分区：
文献类型：
--
作者：
D. Crowdy
推广了由Philip[ZAMP 23,353(1972)]得到的Stokes剪切流在嵌入无滑移面的非剪切缝隙的周期阵列上的精确解，以解释每个周期窗口中的任意无剪切缝隙模式。每个周期窗口中的槽或槽彼此平行，并且具有无限长度，但其宽度和间隔可以任意指定。得到了复合槽面上纵向和横向流动的显式解。然后得到了与微结构表面相关的横向和纵向滑移长度的解析表达式，它们是表征表面的几何参数的函数。这些公式适用于一大类流动几何结构，并有望为设计、分析和优化凹槽微结构超疏水表面的摩擦性能提供有用的工具。结果表明，即使是引入一个非常小的湿润区。
The exact solutions due to Philip [ZAMP 23, 353 (1972)] for Stokes shear flow over a periodic array of no-shear slots embedded in a no-slip surface are generalized to account for an arbitrary pattern of no-shear slots in each period window. The slots, or grooves, in each period window run parallel to each other, and are of infinite length, but their widths and separations can be specified arbitrarily. Explicit solutions are found both for longitudinal and transverse flows over the composite grooved surface. Analytical expressions for the transverse and longitudinal slip lengths associated with the microstructured surfaces are then found as functions of the geometrical parameters characterizing the surface. The formulae are relevant to a wide class of flow geometries and are expected to provide a useful tool in the design, analysis, and optimization of the friction properties of grooved microstructured superhydrophobic surfaces. The results are used to show that introducing even a very small wetted region ...