Derivations of the Young-Laplace equation
Journal article
Published version
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https://hdl.handle.net/11250/2757199Utgivelsesdato
2021-04Metadata
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Originalversjon
Siqveland, L. M., Skjæveland, S. M. (2021) Derivations of the Young-Laplace equation, Capillarity, 4(2), 23-30, 10.46690/capi.2021.02.01Sammendrag
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.