Equilibrium configurations of liquid droplets on solid surfaces under the influence of thin-film forces Part I. Thermodynamics
We present a rigorous thermodynamic analysis of single-component, two-dimensional (cylindrical) and three-dimensional (axisymmetric) drops and bubbles on an ideal solid substrate when the drop or bubble is subject to thin-film forces. Minimization of the system isothermal Helmholtz free energy yields the classic augmented Young-Laplace differential equation describing droplet shape. Attendant boundary conditions emerge naturally including a new augmented Young relation when the solid surface is bare or a smooth transition to a uniform him encircling the droplet. Both adsorbed and wetting films are considered, depending on the detailed behavior of the disjoining-pressure isotherm. (C) 1999 Elsevier Science B.V. All rights reserved
Yeh, E. K., Newman, J., & Radke, C. J. (1999). Equilibrium configurations of liquid droplets on solid surfaces under the influence of thin-film forces Part I. Thermodynamics. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 156(1-3), 137-144.