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Dynamical scaling of imbibition in columnar geometries

Pradas, M.; Hernández-Machado, A. and Rodríguez, M. A. (2008). Dynamical scaling of imbibition in columnar geometries. Physical Review E, 77(5) 056305.

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Recent experiments on imbibition in columnar geometries show interfacial fluctuations whose dynamic scaling is not 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.

Item Type: Journal Item
Copyright Holders: 2008 The American Physical Society
ISSN: 1550-2376
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetFIS2006-12253-C06-04DGI of the Ministerio de Educación y Ciencia (Spain)
Not SetFIS2006-12253-C06-05DGI of the Ministerio de Educación y Ciencia (Spain)
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 41206
Depositing User: Marc Pradas
Date Deposited: 30 Oct 2014 12:13
Last Modified: 07 Dec 2018 10:26
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