Suppression of viscous fluid fingering: a piecewise-constant injection process

The injection of a fluid into another of larger viscosity in a Hele-Shaw cell usually results in the formation of highly branched patterns. Despite the richness of these structures, in many practical situations such convoluted shapes are quite undesirable. In this Brief Report, we propose an efficie...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2010-12, Vol.82 (6 Pt 2), p.067301-067301, Article 067301
Main Authors: Dias, Eduardo O, Parisio, Fernando, Miranda, José A
Format: Article
Language:English
Subjects:
Hydrodynamics
Injections
Models, Theoretical
Time Factors
Viscosity
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Summary:The injection of a fluid into another of larger viscosity in a Hele-Shaw cell usually results in the formation of highly branched patterns. Despite the richness of these structures, in many practical situations such convoluted shapes are quite undesirable. In this Brief Report, we propose an efficient and easily reproducible way to restrain these instabilities based on a simple piecewise-constant pumping protocol. It results in a reduction in the size of the viscous fingers by one order of magnitude.
ISSN:1539-3755
1550-2376
DOI:10.1103/physreve.82.067301