用拓扑原理描述润湿性
Characterization of wetting using topological principles
摘要：
理解润湿行为对于自然系统和技术应用具有重要意义。传统的接触角概念是一种与曲率有关的纯几何度量，常用于表征体系的润湿状态。它可以通过应用平衡热力学从杨氏方程确定。然而，接触角是否是具有显著复杂性的系统的润湿的代表性量度尚不清楚。在这里，我们假设，基于高斯-博内定理的拓扑原理可以产生一个强大的措施来表征润湿。理论和实验我们引入了一个宏观的接触角的基础上的赤字曲率的流体界面，所施加的接触与其他不混溶相。我们进行固着液滴模拟多孔烧结玻璃和Bentheimer砂岩的多相实验，以评估拓扑方法的灵敏度和鲁棒性，并将结果与其他传统方法进行比较。结果-我们表明，所提出的拓扑原理是一致的热力学最简单的条件下，通过变分分析。此外，我们阐明，在足够高的图像分辨率的拓扑方法和本地接触角测量是可比的。虽然在较低的分辨率下，所提出的方法提供了更准确的结果，对基于分辨率的影响具有鲁棒性。总体而言，所提出的概念开辟了新的途径来表征复杂系统的润湿状态和理论发展，研究多相系统。
英文摘要：
Hypothesis Understanding wetting behavior is of great importance for natural systems and technological applications. The traditional concept of contact angle, a purely geometrical measure related to curvature, is often used for characterizing the wetting state of a system. It can be determined from Young's equation by applying equilibrium thermodynamics. However, whether contact angle is a representative measure of wetting for systems with significant complexity is unclear. Herein, we hypothesize that topological principles based on the Gauss-Bonnet theorem could yield a robust measure to characterize wetting. Theory and Experiments We introduce a macroscopic contact angle based on the deficit curvature of the fluid interfaces that are imposed by contacts with other immiscible phases. We perform sessile droplet simulations followed by multiphase experiments for porous sintered glass and Bentheimer sandstone to assess the sensitivity and robustness of the topological approach and compare the results to other traditional approaches. Findings We show that the presented topological principle is consistent with thermodynamics under the simplest conditions through a variational analysis. Furthermore, we elucidate that at sufficiently high image resolution the proposed topological approach and local contact angle measurements are comparable. While at lower resolutions, the proposed approach provides more accurate results being robust to resolution-based effects. Overall, the presented concepts open new pathways to characterize the wetting state of complex systems and theoretical developments to study multiphase systems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
