Slip velocity during the flow of a liquid over a solid surface

An equation is derived for the slip velocity when a nonequilibrated drop is spreading over a solid surface. This velocity is obtained as the product of the force induced by the gradient of the chemical potential along the surface with Einstein’s expression for the mobility of the molecules. A simila...

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Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2011-08, Vol.197 (1), p.203-209
Main Author: Ruckenstein, E.
Format: Article
Language:English
Subjects:
Atomic
Classical and Continuum Physics
Condensed Matter Physics
Condensed matter: structure, mechanical and thermal properties
Exact sciences and technology
Materials Science
Measurement Science and Instrumentation
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
Solid surfaces and solid-solid interfaces
Solid-fluid interfaces
Surfaces and interfaces
thin films and whiskers (structure and nonelectronic properties)
Wetting
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Summary:An equation is derived for the slip velocity when a nonequilibrated drop is spreading over a solid surface. This velocity is obtained as the product of the force induced by the gradient of the chemical potential along the surface with Einstein’s expression for the mobility of the molecules. A similar approach was applied to the flow in a capillary. In that case, the surface diffusion coefficient evaluated by comparing the obtained theoretical expression with experiment is orders of magnitude larger than expected. For this reason, one concludes that the observed slip is apparent and is caused by the formation of a gap of gas separating the flowing liquid from the solid surface.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2011-01460-9