Abstract

Depending upon the nature of the polymer-substrate system, it has been observed that the shape of a spreading polymer droplet on a flat surface could be either a spherical cap — as for low viscosity liquids — or a spherical cap with a projecting macroscopic « foot ». We interpret this « foot » by an effect of finite slip of the polymer liquid at the surface : the existence of a large extrapolation length (b) for the velocity field of polymeric liquids near a smooth surface was predicted long ago by one of us. We calculate the detailed shape of the foot, and show that the foot thickness is comparable to b ; this length may reach very high values (> 100 microns) for entangled polymers. On the other hand, if the surface is rough, or if some chains are strongly bound to it, b is drastically reduced : this explains why the existence of the « foot » depends on the precise conditions at the surface.

Keywords

Interpretation (philosophy)Foot (prosody)PolymerMaterials scienceLawComposite materialComputer sciencePolitical scienceArtLiterature

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Publication Info

Year
1984
Type
article
Volume
45
Issue
12
Pages
597-602
Citations
56
Access
Closed

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Cite This

F. Brochard, P. G. de Gennes (1984). Spreading laws for liquid polymer droplets : interpretation of the « foot ». Journal de Physique Lettres , 45 (12) , 597-602. https://doi.org/10.1051/jphyslet:019840045012059700

Identifiers

DOI
10.1051/jphyslet:019840045012059700