Tang, YanfeiCheng, Shengfeng2019-02-042019-02-042019-01-010021-9797S0021-9797(18)31002-6 (PII)http://hdl.handle.net/10919/87422We systematically study the meniscus on the outside of a small circular cylinder vertically immersed in a liquid bath in a cylindrical container that is coaxial with the cylinder. The cylinder has a radius R much smaller than the capillary length, κ-1, and the container radius, L, is varied from a small value comparable to R to ∞. In the limit of L≪κ-1, we analytically solve the general Young-Laplace equation governing the meniscus profile and show that the meniscus height, Δh, scales approximately with Rln(L/R). In the opposite limit where L≫κ-1,Δh becomes independent of L and scales with Rln(κ-1/R). We implement a numerical scheme to solve the general Young-Laplace equation for an arbitrary L and demonstrate the crossover of the meniscus profile between these two limits. The crossover region has been determined to be roughly 0.4κ-1≲L≲4κ-1. An approximate analytical expression has been found for Δh, enabling its accurate prediction at any values of L that ranges from microscopic to macroscopic scales.Pages 401-4088 page(s)Print-ElectronicIn CopyrightScience & TechnologyPhysical SciencesChemistry, PhysicalChemistryWettingMeniscusLiquid-vapor interfaceYoung-Laplace equationSTATIC MENISCIPENDULAR RINGSSURFACESFORCESHAPEINTERFACESPARTICLESCONSTANTSESSILESPHERES03 Chemical Sciences09 Engineering02 Physical SciencesChemical PhysicsArticle - Refereed2019-02-04https://doi.org/10.1016/j.jcis.2018.08.081533Cheng, Shengfeng [0000-0002-6066-2968]301721501095-7103