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Dynamical scaling of imbibition in columnar geometries
Pradas Gené, Marc; Hernández Machado, Aurora; Rodríguez Díaz, Miguel Ángel
Universitat de Barcelona
compatible with the usual nonlocal model governed by surface tension that results from a macroscopic description. To explore this discrepancy, we exhaustively analyze numerical integrations of a phase-field model with dichotomic columnar disorder. We find that two distinct behaviors are possible depending on the capillary contrast between the two values of disorder. In a high-contrast case, where interface evolution is mainly dominated by the disorder, an inherent anomalous scaling is always observed. Moreover, in agreement with experimental work, the interface motion has to be described through a local model. On the other hand, in a lower-contrast case, the interface is dominated by interfacial tension and can be well modeled by a nonlocal model. We have studied both spontaneous and forced-flow imbibition situations, giving a complete set of scaling exponents in each case, as well as a comparison to the experimental results.
2011-07-26
Dinàmica de fluids
Superfícies (Física)
Interfícies (Ciències físiques)
Pel·lícules fines
Nanoestructures
Fluid dynamics
Surfaces (Physics)
Interfaces (Physical sciences)
Thin films
Surfaces (Physics)
Nanostructures
(c) The American Physical Society, 2008
Article
The American Physical Society
         

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