Derivations of the Young-Laplace equation

Leiv Magne Siqveland, Svein Magne Skjaeveland

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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.

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


Young-Laplace, space curves, principle radii, linear algebra

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