Asymptotic solutions for double pendant and extended sessile drops. (English) Zbl 0793.76015
Summary: Asymptotic solutions are obtained for small double pendant drops which are shown to consist of two (or more) nearly spherical drops joined together by a thin neck region, the upper drop being slightly larger. Equivalent solutions for so-called extended sessile drops represent the curling of the drop profile in on itself beyond the point where the inclination of the drop becomes greater than \(\pi\) radians.
MSC:
76B45 | Capillarity (surface tension) for incompressible inviscid fluids |
34E10 | Perturbations, asymptotics of solutions to ordinary differential equations |
34E15 | Singular perturbations for ordinary differential equations |