Analytical Solutions for Partially Wetting Two-Dimensional Droplets

摘要: We present a new analytical solution for the static shape of two-dimensional droplet in equilibrium with surrounding thin film on solid substrate. The modeling includes effects capillarity and disjoining-conjoining pressure accounting intermolecular forces between liquid. derive solutions droplet, cross-sectional area, half-width, maximum curvature inflection points. study size apparent contact angle. line region is compared profiles obtained by employing approximations suggested literature, observed differences are discussed. Finally, we time evolution to steady state show how whole profile, including film, evolves corresponding stationary configuration.