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Kelvin–Helmholtz instability in a Hele-Shaw cell: Large effect from the small region near the meniscus

Hinch, E. John and Plouraboué, Franck Kelvin–Helmholtz instability in a Hele-Shaw cell: Large effect from the small region near the meniscus. (2005) Physics of Fluids, vol. 17 (n° 5). pp. 052107(1)-052107(13). ISSN 1070-6631

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Official URL: http://dx.doi.org/10.1063/1.1914729

Abstract

In an attempt to improve the poor prediction of our previous theory, we examine corrections from the small region in a Hele-Shaw cell near the meniscus where the flow is three dimensional. At larger Reynolds numbers, we find an O(1) change to the effective boundary condition for mass conservation which is to be applied to the large scale flow outside the small region.

Item Type:Article
Additional Information:Thanks to the American Institute of Physics. The definitive version is available at http://dx.doi.org/10.1063/1.1914729
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT
Other partners > University of Cambridge (UNITED KINGDOM)
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS
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Deposited By:Franck PLOURABOUE

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