PMID: 11909015Mar 23, 2002Paper

Fluctuations in viscous fingering

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Mitchell G MooreHarry L Swinney

Abstract

Our experiments on viscous (Saffman-Taylor) fingering in Hele-Shaw channels reveal finger width fluctuations that were not observed in previous experiments, which had lower aspect ratios and higher capillary numbers Ca. These fluctuations intermittently narrow the finger from its expected width. The magnitude of these fluctuations is described by a power law, Ca(-0.64), which holds for all aspect ratios studied up to the onset of tip instabilities. Further, for large aspect ratios, the mean finger width exhibits a maximum as Ca is decreased instead of the predicted monotonic increase.

References

Jan 1, 1986·Physical Review A: General Physics·P Tabeling, A Libchaber

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Citations

Feb 24, 2009·Bulletin of Mathematical Biology·Nikodem J PopławskiAlexander R A Anderson
Jun 4, 2010·PloS One·Nikodem J PoplawskiJames A Glazier
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Leif RistrophHarry L Swinney
Jan 2, 2020·Proceedings. Mathematical, Physical, and Engineering Sciences·Jack S KeelerAndrew L Hazel
Jan 14, 2017·Physical Review. E·Michal Pecelerowicz, Piotr Szymczak
Nov 13, 2007·Physical Review Letters·C ChevalierE Clément
May 23, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M TorralbaE Corvera Poiré
Sep 28, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Grunde LøvollKnut Jørgen Måløy
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R Ledesma-AguilarA Hernández-Machado
Apr 3, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hooman ForoughiMasahiro Kawaji
Feb 1, 2008·Physical Review Letters·A de LózarA Juel
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M TorralbaE Corvera Poiré
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M Quevedo-ReyesE Corvera Poiré

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