Derivation of generalized Young’s Equation for the Wetting Phenomena of Cylindrical Droplets

Abstract

The contact angles of cylindrical droplets on smooth and chemically homogeneous nondeformable substrates were studied by methods of thermodynamics. The total grand potential of the system was calculated. Then, a generalized Young's equation for wetting of cylindrical droplets on chemically homogeneous and smooth substrates was derived based on the thermodynamic
equilibrium condition. The theoretical derivation of the generalized Young's equation is a typical application of Gibbs' theory of capillary phenomena.