Derivations of the Young-Laplace equation
Leiv Magne Siqveland, S. M. Skjæveland
Abstract
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
Topics & Concepts
Laplace's equationSurface tensionLaplace transformMathematicsCurvatureMathematical analysisLaplace pressureSurface (topology)Capillary actionDifferential equationSpace (punctuation)Green's function for the three-variable Laplace equationPartial differential equationPhysicsGeometryThermodynamicsPhilosophyLinguisticsAquatic and Environmental Studies