Fluctuations in viscous fingering

Moore, M. G. and Juel, Anne and Burgess, J. M. and Swinney, H. L. (2002) Fluctuations in viscous fingering. Physical Review E, 65 (3). pp. 1-4. ISSN 1539-3755

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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.

Item Type: Article
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 76 Fluid mechanics
Depositing User: Ms Lucy van Russelt
Date Deposited: 21 Aug 2006
Last Modified: 20 Oct 2017 14:12
URI: https://eprints.maths.manchester.ac.uk/id/eprint/572

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