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On the Wetting of a Surface by a Very Viscous Fluid
Author(s) -
Greenspan H. P.,
McCay B. M.
Publication year - 1981
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm198164295
Subject(s) - wetting , lubrication theory , mechanics , lubrication , slip (aerodynamics) , contact angle , nonlinear system , viscous liquid , line (geometry) , inertial frame of reference , fictitious force , context (archaeology) , surface (topology) , enhanced data rates for gsm evolution , materials science , classical mechanics , physics , geometry , mathematics , geology , composite material , thermodynamics , engineering , paleontology , telecommunications , quantum mechanics
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.