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....

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Autores principales: Leiv Magne Siqveland, Svein Magne Skjaeveland
Formato: article
Lenguaje:EN
Publicado: Yandy Scientific Press 2021
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Acceso en línea:https://doaj.org/article/e7207b951bd84586b821b71b5b5c8999
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spelling oai:doaj.org-article:e7207b951bd84586b821b71b5b5c89992021-11-08T02:48:23ZDerivations of the Young-Laplace equation10.46690/capi.2021.02.012652-3310https://doaj.org/article/e7207b951bd84586b821b71b5b5c89992021-06-01T00:00:00Zhttps://www.yandy-ager.com/index.php/cap/article/view/343https://doaj.org/toc/2652-3310The 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.Leiv Magne SiqvelandSvein Magne SkjaevelandYandy Scientific Pressarticleyoung-laplacespace curvesprinciple radiilinear algebraPhysicsQC1-999ENCapillarity, Vol 4, Iss 2, Pp 23-30 (2021)
institution DOAJ
collection DOAJ
language EN
topic young-laplace
space curves
principle radii
linear algebra
Physics
QC1-999
spellingShingle young-laplace
space curves
principle radii
linear algebra
Physics
QC1-999
Leiv Magne Siqveland
Svein Magne Skjaeveland
Derivations of the Young-Laplace equation
description 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.
format article
author Leiv Magne Siqveland
Svein Magne Skjaeveland
author_facet Leiv Magne Siqveland
Svein Magne Skjaeveland
author_sort Leiv Magne Siqveland
title Derivations of the Young-Laplace equation
title_short Derivations of the Young-Laplace equation
title_full Derivations of the Young-Laplace equation
title_fullStr Derivations of the Young-Laplace equation
title_full_unstemmed Derivations of the Young-Laplace equation
title_sort derivations of the young-laplace equation
publisher Yandy Scientific Press
publishDate 2021
url https://doaj.org/article/e7207b951bd84586b821b71b5b5c8999
work_keys_str_mv AT leivmagnesiqveland derivationsoftheyounglaplaceequation
AT sveinmagneskjaeveland derivationsoftheyounglaplaceequation
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