杨-拉普拉斯方程的推导

Q1 Physics and Astronomy

Capillarity Pub Date : 2021-05-22 DOI:10.46690/CAPI.2021.02.01

L. M. Siqveland, S. Skjaeveland

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引用次数: 13

摘要

经典的Young-Laplace方程将毛细管压力与表面张力和两种不混相流体界面的主曲率半径联系起来。本文用微分几何和线性代数描述了空间曲线和光滑曲面的必要性质。平衡条件由力平衡和表面能最小化表述。引自:Siqveland, L. M.， Skjaeveland, S. M. Young-Laplace方程的推导。毛细管学，2021,4(2):23-30,doi: 10.46690/capi.2021.02.01

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Derivations of the Young-Laplace equation

The classical Young-Laplace equation relates capillary pressure to surface tension and the principal radii of curvature of the interface between two immiscible fluids. In this paper the required properties of space curves and smooth surfaces are described by differential geometry and linear algebra. The equilibrium condition is formulated by a force balance and minimization of surface energy. Cited as: Siqveland, L. M., Skjaeveland, S. M. Derivations of the Young-Laplace equation. Capillarity, 2021, 4(2): 23-30, doi: 10.46690/capi.2021.02.01

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来源期刊

Capillarity Physics and Astronomy-Surfaces and Interfaces

CiteScore

7.10

自引率

0.00%

发文量

审稿时长

2~3 weeks

期刊介绍： Capillarity publishes high-quality original research articles and current reviews on fundamental scientific principles and innovations of capillarity in physics, chemistry, biology, environmental science and related emerging fields. All advances in theoretical, numerical and experimental approaches to capillarity in capillary tube and interface dominated structure and system area are welcome. The following topics are within (but not limited to) the scope of capillarity: i) Capillary-driven phenomenon in natural/artificial tubes, porous and nanoporous materials ii) Fundamental mechanisms of capillarity aided by theory and experiments iii) Spontaneous imbibition, adsorption, wicking and related applications of capillarity in hydrocarbon production, chemical process and biological sciences iv) Static and dynamic interfacial processes, surfactants, wettability, film and colloids v) New approaches and technologies on capillarity Capillarity is a quarterly open access journal and free to read for all. The journal provides a communicate platform for researchers who are interested in all fields of capillary phenomenon.