固体上液滴的摩擦系数：液体-固体阿蒙顿定律,Langmuir

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固体上液滴的摩擦系数：液体-固体阿蒙顿定律
Langmuir ( IF 3.7 ) Pub Date : 2022-03-30 , DOI: 10.1021/acs.langmuir.2c00178
Glen McHale ₁ , Nan Gao ₂ , Gary G Wells ₁ , Hernán Barrio-Zhang ₁ , Rodrigo Ledesma-Aguilar ₁

Affiliation

两个固体之间干摩擦的经验定律可以追溯到 1699 年阿蒙顿的工作，并且早于达芬奇的工作。这些定律的基础是将沿表面的销钉和滑动摩擦力与法向负载力相关联的静摩擦系数和动摩擦系数的概念。对于固体表面上的液体，接触线也经历钉扎，当液滴运动时使用摩擦语言。然而，直到最近才在这种情况下定义了摩擦系数的概念，并且液滴摩擦已被讨论为具有静态和动态状态。在这里，我们使用表面自由能考虑来表明接触线每单位长度的摩擦力与表面张力的法向分量成正比。我们定义了接触线和液滴的摩擦系数，并提供了阿蒙顿第一和第二定律的液滴类比，但固体的法向载荷力被液体的法向表面张力取代。在静态状态下，由液滴的最大钉扎力定义的静摩擦系数与接触角滞后成正比，而在动力学状态下，动摩擦系数与动态前进和后退的差异成比例接触角。我们展示了 Amontons 第一和第二定律的液滴形式与 Furmidge 导出的方程之间的一致性。我们使用这些液固阿蒙顿定律来描述文献数据并报告各种液固系统的摩擦系数。

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Friction Coefficients for Droplets on Solids: The Liquid–Solid Amontons’ Laws

The empirical laws of dry friction between two solid bodies date back to the work of Amontons in 1699 and are pre-dated by the work of Leonardo da Vinci. Fundamental to those laws are the concepts of static and kinetic coefficients of friction relating the pinning and sliding friction forces along a surface to the normal load force. For liquids on solid surfaces, contact lines also experience pinning and the language of friction is used when droplets are in motion. However, it is only recently that the concept of coefficients of friction has been defined in this context and that droplet friction has been discussed as having a static and a kinetic regime. Here, we use surface free energy considerations to show that the frictional force per unit length of a contact line is directly proportional to the normal component of the surface tension force. We define coefficients of friction for both contact lines and droplets and provide a droplet analogy of Amontons’ first and second laws but with the normal load force of a solid replaced by the normal surface tension force of a liquid. In the static regime, the coefficient of static friction, defined by the maximum pinning force of a droplet, is proportional to the contact angle hysteresis, whereas in the kinetic regime, the coefficient of kinetic friction is proportional to the difference in dynamic advancing and receding contact angles. We show the consistency between the droplet form of Amontons’ first and second laws and an equation derived by Furmidge. We use these liquid–solid Amontons’ laws to describe literature data and report friction coefficients for various liquid–solid systems. The conceptual framework reported here should provide insight into the design of superhydrophobic, slippery liquid-infused porous surfaces (SLIPS) and other surfaces designed to control droplet motion.

更新日期：2022-03-30

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