简单流体在振动固体界面上的巨滑移长度
Giant slip lengths of a simple fluid at vibrating solid interfaces
摘要：
最近已经示出[PRL 102，254503（2009）]，在平面-平面配置中，在简单流体中靠近刚性壁振动的机械谐振器可以过阻尼到冻结状态。在这里，通过求解解析的纳维-斯托克斯方程与部分滑移边界条件在固液界面，我们开发了一种理论方法，证明和扩展这些早期的发现。我们特别表明，在完美的滑移制度，上述结果是，在平面-平面配置，非常普遍和强大的杠杆几何考虑。我们比较的结果与以前获得的球体垂直移动，并接近一个平面在一个简单的流体，并讨论在更详细的差异有关的摩擦力的依赖性与间隙距离分开的移动物体（即，平面或球体）从固定平面。最后，我们表明，在上述参考文献中报道的亚微米流体效应，并在本工作中进一步讨论，可以在纳米机电系统（NEMS）的设计有显着的影响。
英文摘要：
It has been shown recently [PRL 102, 254503 (2009)] that in the plane-plane configuration a mechanical resonator vibrating close to a rigid wall in a simple fluid can be overdamped to a frozen regime. Here, by solving analytically the Navier Stokes equations with partial slip boundary conditions at the solid fluid interface, we develop a theoretical approach justifying and extending these earlier findings. We show in particular that in the perfect slip regime the above mentioned results are, in the plane-plane configuration, very general and robust with respect to lever geometry considerations. We compare the results with those obtained previously for the sphere moving perpendicularly and close to a plane in a simple fluid and discuss in more details the differences concerning the dependence of the friction forces with the gap distance separating the moving object (i.e., plane or sphere) from the fixed plane. Finally, we show that the submicron fluidic effect reported in the reference above, and discussed further in the present work, can have dramatic implications in the design of nano-electromechanical systems (NEMS).
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