Identities for droplets with circular footprint on tilted surfaces.

ABSTRACT: Exact mathematical identities are presented between the relevant parameters of droplets displaying circular contact boundary based on flat tilted surfaces. Two of the identities are derived from the force balance, and one from the torque balance. The tilt surfaces cover the full range of inclinations for sessile or pendant drops, including the intermediate case of droplets on a wall (vertical surface). The identities are put under test both by the available solutions of a linear response approximation at small Bond numbers as well as the ones obtained from numerical solutions, making use of the Surface Evolver software. The subtleties to obtain certain angle-averages appearing in identities by the numerical solutions are discussed in detail. It is argued how the identities are usefu

SUBMITTER: Dunlop F 

PROVIDER: S-EPMC7735340 | biostudies-literature | 2020 Nov

REPOSITORIES: biostudies-literature