Fingering versus stability in the limit of zero interfacial tension View Full Text


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Article Info

DATE

2014-10-27

AUTHORS

Irmgard Bischofberger, Radha Ramachandran, Sidney R. Nagel

ABSTRACT

The invasion of one fluid into another of higher viscosity in a quasi-two dimensional geometry typically produces complex fingering patterns. Because interfacial tension suppresses short-wavelength fluctuations, its elimination by using pairs of miscible fluids would suggest an instability producing highly ramified singular structures. Previous studies focused on wavelength selection at the instability onset and overlooked the striking features appearing more globally. Here we investigate the non-linear growth that occurs after the instability has been fully established. We find a rich variety of patterns that are characterized by the viscosity ratio between the inner and the outer fluid, ηin/ηout, as distinct from the most-unstable wavelength, which determines the onset of the instability. As ηin/ηout increases, a regime dominated by long highly-branched fractal fingers gives way to one dominated by blunt stable structures characteristic of proportionate growth. Simultaneously, a central region of complete outer-fluid displacement grows until it encompasses the entire pattern at ηin/ηout≈0.3. More... »

PAGES

5265

Identifiers

URI

http://scigraph.springernature.com/pub.10.1038/ncomms6265

DOI

http://dx.doi.org/10.1038/ncomms6265

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1021607116

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/25345421


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