1982/12/01 by A. A. Lacey, Andrew Lacey · 60 citations
Engineering · Materials Science · Mathematics · #Classical mechanics #Fluid Dynamics and Heat Transfer #Fluid Dynamics and Thin Films #Geometry #Materials science #Mathematics #Mechanics #Physics #Slip (aerodynamics) #Solid surface #Surface (topology) #Surface Modification and Superhydrophobicity #Surface tension #Thermodynamics #Viscous liquid
paper · doi:10.1002/sapm1982673217
published in Studies in Applied Mathematics 67(3), 217-230 (Wiley)
openalex publication_date 1982/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A thin droplet of a viscous liquid moves under the influence of surface tension across the contaminated surface of a solid. There is a slip velocity of the fluid along the surface proportional to the tangential stress. For small values of the constant of proportionality and for a significant distance from the contact line there is an asymptotic expansion for the droplet thickness. The speed of the contact line is found to depend nonlinearly on the normal derivative of the leading term.