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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Yandy Scientific Press
2021
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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) |
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young-laplace space curves principle radii linear algebra Physics QC1-999 |
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young-laplace space curves principle radii linear algebra Physics QC1-999 Leiv Magne Siqveland Svein Magne Skjaeveland Derivations of the Young-Laplace equation |
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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 |
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AT leivmagnesiqveland derivationsoftheyounglaplaceequation AT sveinmagneskjaeveland derivationsoftheyounglaplaceequation |
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1718443050187882496 |