Document Detail


Capillary rise in Hele-Shaw models of disordered media.
MedLine Citation:
PMID:  22487234     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
We study the capillary rise of a viscous liquid in large Hele-Shaw models of disordered media, both analytically and experimentally. Compared to the Fries-Dreyer and Lucas-Washburn solutions for capillary rise with and without gravity, our experimental data reveal a systematic deviation at short and intermediate times. The original pressure balance equation leading to Washburn's results is reformulated in order to include an additional resisting term, proportional to the mean velocity of the front h˙, which appears naturally as a result of the geometry of the cell. Analytical solutions h(t) are found for displacements with and without gravity. These new solutions reproduce the experimental results very accurately in Hele-Shaw cells of constant gap thickness, where the capillary pressure can be approximated by a constant. In cells of fluctuating gap thickness, where the capillary pressure fluctuates in space, a small additional pressure contribution is required. This correction that depends on h˙ is also studied.
Authors:
Xavier Clotet; Ramon Planet; Jordi Ortı N
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Publication Detail:
Type:  JOURNAL ARTICLE     Date:  2012-3-22
Journal Detail:
Title:  Journal of colloid and interface science     Volume:  -     ISSN:  1095-7103     ISO Abbreviation:  -     Publication Date:  2012 Mar 
Date Detail:
Created Date:  2012-4-10     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0043125     Medline TA:  J Colloid Interface Sci     Country:  -    
Other Details:
Languages:  ENG     Pagination:  -     Citation Subset:  -    
Copyright Information:
Copyright © 2012 Elsevier Inc. All rights reserved.
Affiliation:
Departament d'Estructura i Constituents de la Matèria, Universitat de Barcelona, Martı´ i Franquès 1, 08028 Barcelona, Spain.
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