Film and line tension effects on the attachment of particles to an interface: II. Shapes of the bubble (drop) and the external meniscus

Abstract

By using the method of matched asymptotic expansions analytical equations for the shapes of a sessile (pendant) bubble or drop and the external meniscus around it are derived. The results are compared with the numerical solutions of S. Hartland and R. W. Hartley, for the bubble or drop (“Axisymmetric Fluid-Liquid Interfaces,” Elsevier, Amsterdam 1976), and C. Huh and L. E. Scriven, for the external meniscus [ J. Colloid Interface Sci. 30, 323 1969]. When the capillary number is small, the analytical solutions are in excellent agreement with the computer calculations.