毛细管桥的弯曲能与接触角的直接关系

IF 1.2 4区化学 Q3 CHEMISTRY, MULTIDISCIPLINARY

Comptes Rendus. Chimie Pub Date : 2023-11-10 DOI:10.5802/crmeca.200

Olivier Millet, Gérard Gagneux

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引用次数: 0

摘要

这些关于曲线和曲面微分几何的发展的教学目标是提出适合于毛细管桥研究的精细和方便的数学策略。共同的目标是能够在任何情况下精确地计算自由表面上的弯曲应力，用广义杨-拉普拉斯方程中涉及的表面上的高斯曲率的积分(称为总曲率)在数学上表示。我们特别证明了弯曲能的结果与接触线上的润湿角直接相关。

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A direct relation between bending energy and contact angles for capillary bridges

The didactic object of these developments on differential geometry of curves and surfaces is to present fine and convenient mathematical strategies, adapted to the study of capillary bridges. The common thread is to be able to calculate accurately in any situation the bending stress over the free surface, represented mathematically by the integral of the Gaussian curvature over the surface (called the total curvature) involved in the generalized Young–Laplace equation. We prove in particular that the resultant of the bending energy is directly linked to the wetting angles at the contact line.

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来源期刊

Comptes Rendus. Chimie 化学-化学综合

CiteScore

2.10

自引率

25.00%

发文量

审稿时长

3 months

期刊介绍： The Comptes Rendus - Chimie are a free-of-charge, open access and peer-reviewed electronic scientific journal publishing original research articles. It is one of seven journals published by the Académie des sciences. Its objective is to enable researchers to quickly share their work with the international scientific community. The Comptes Rendus - Chimie also publish journal articles, thematic issues and articles reflecting the history of the Académie des sciences and its current scientific activity.