Journal
JOURNAL OF COLLOID AND INTERFACE SCIENCE
Volume 229, Issue 1, Pages 155-164Publisher
ACADEMIC PRESS INC
DOI: 10.1006/jcis.2000.6967
Keywords
liquid spreading; complete wetting; spreading laws; spreading dynamics; drop spreading; spontaneous spreading; dynamic contact angle; moving contact line; disjoining pressure; viscous dissipation; drop free energy
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We consider the dynamics of spreading of a small drop over a smooth solid surface. The analysis is concerned with complete wetting and accounts for capillary, viscous, and van der Waals effects, with two spreading geometries considered: cylindrical and axisymmetric. A complete description of the drop thickness, slope, and curvature profiles is provided. The model is not based on any fitting parameter, and the spreading laws are found to be in good agreement with published data obtained by different experimental techniques. The study evaluates the relative magnitudes of capillary, viscous, and disjoining-pressure effects and discusses the asymptotic form of the film profile and the existence of a singularity at the three-phase contact line. The model allows determination of the complete distribution of viscous dissipation in the whole drop, and the rate of viscous dissipation is related to the losses of the liquid drop free energy, (C) 2000 Academic Press.
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