On the Wetting of a Surface by a Very Viscous Fluid

1981/04/01 by H. P. Greenspan, B. M. McCay · 34 citations
Chemical Engineering · Engineering · Mathematics · #Classical mechanics #Composite material #Contact angle #Context (archaeology) #Engineering #Enhanced Data Rates for GSM Evolution #Fictitious force #Fluid Dynamics and Heat Transfer #Fluid Dynamics and Thin Films #Geology #Geometry #Inertial frame of reference #Line (geometry) #Lubrication #Lubrication theory #Materials science #Mathematics #Mechanics #Nonlinear system #Physics #Rheology and Fluid Dynamics Studies #Slip (aerodynamics) #Surface (topology) #Thermodynamics #Viscous liquid #Wetting

paper · doi:10.1002/sapm198164295

published in Studies in Applied Mathematics 64(2), 94-112 (Wiley)

openalex publication_date 1981/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The movement of a small viscous droplet on a flat surface is considered in self‐spreading, in roundup, and as a result of an adhesion gradient. Edge conditions based on the dynamic contact angle are discussed within the context of lubrication theory. Tangential slip at the contact line is shown to be small compared to the normal velocity. The shapes of the droplet and its contact line are calculated, and nonlinear and inertial effects assessed.

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