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Interfacial elastic fingering in Hele-Shaw cells: a weakly nonlinear study

Abstract:

We study a variant of the classic viscous fingering instability in Hele-Shaw cells where the interface separating the fluids is elastic, and presents a curvature-dependent bending rigidity. By employing a second-order mode-coupling approach we investigate how the elastic nature of the interface influences the morphology of emerging interfacial patterns. This is done by focusing our attention on a conventionally stable situation in which the fluids involved have the same viscosity. In this fra...

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Publication date:
2013-01-01
URN:
uuid:eb2d6dab-97ab-4f1b-9fda-4ea4d939d50e
Local pid:
oai:eprints.maths.ox.ac.uk:1796

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