扭曲轴对称毛细管桥的弯曲效应。广义Young-Laplace方程及相关毛细力

IF 1.2 4区 化学 Q3 CHEMISTRY, MULTIDISCIPLINARY
Olivier Millet, Gérard Gagneux
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引用次数: 0

摘要

本研究提出了一个理论贡献的问题,影响轴对称毛细管桥的各种扭曲,由于重力或弯曲效应与高斯曲率相关。我们在不同的参考构型之间推导出了清晰的层次效应,并在Young-Laplace方程(经典的或广义的)的显著位置给出了精确的第一积分。利用这些关系得到了质点间力变化的理论表达式,量化了抗弯强度的影响。最后,对经典的“峡谷法”进行了推广,在不考虑重力作用或可忽略重力作用的情况下,准确地计算了受弯曲变形的型材的毛细力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Bending effects distorting axisymmetric capillary bridges. Generalized Young–Laplace equation and associated capillary forces
This study proposes a theoretical contribution to the problem of the various distortions affecting axisymmetric capillary bridges, due to gravity or to bending effects linked to the Gaussian curvature. We deduce a clear hierarchization of effects between various reference configurations and put in a prominent position an exact first integral for the Young–Laplace equations, classical or generalized. These relationships are taken advantage of to obtain the theoretical expression of the varying inter-particle force, quantified effects of flexural strength. Finally, we establish a generalization of the classical “gorge method” to calculate accurately the capillary force of a profile subjected to distorsion due to bending when the gravity effects are negligible or not taken into account.
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来源期刊
Comptes Rendus. Chimie
Comptes Rendus. Chimie 化学-化学综合
CiteScore
2.10
自引率
25.00%
发文量
89
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.
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