On the shape of small sessile and pendant drops by singular perturbation techniques

DOI10.1017/S0022112091000587zbMath0738.76018OpenAlexW2134630247MaRDI QIDQ3987816

No author found.

Publication date: 28 June 1992

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112091000587

zbMATH Keywords

matched asymptotic expansionsboundary-layerpendant dropsshape of small sessile

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10)

Related Items (10)

Asymptotics of a Small Liquid Drop on a Cone and Plate Rheometer ⋮ A second-order-accurate approximation for the shape of a sessile droplet deformed by gravity ⋮ Gravitational effects on coffee-ring formation during the evaporation of sessile droplets ⋮ Stability of sessile and pendant liquid drops ⋮ An asymptotic analysis of small holes in thin fluid layers ⋮ Unsteady heat conduction involving phase changes for an irregular bubble/particle entrapped in a solid during freezing - an extension of the heat-balance integral method ⋮ Microbubble or pendant drop control described by a general phase diagram ⋮ Uniform asymptotic solutions for small and large sessile drops ⋮ Iterative method for the shape of static drops. ⋮ Shape of pendent droplets under a tilted surface

Cites Work

• The shape of a sessile drop for small and large surface tension
• Basic Concepts Underlying Singular Perturbation Techniques
• An analytical solution for the profile and volume of a small drop or bubble symmetrical about a vertical axis
• The meniscus on the outside of a small circular cylinder

This page was built for publication: On the shape of small sessile and pendant drops by singular perturbation techniques