Fjords in viscous fingering: Selection of width and opening angle

Details Fjords in viscous fingering: Selection of width and opening angle Fjords in viscous fingering: Selection of width and opening angle

2005-10-21

arxiv.org/abs/nlin/0510049v4

PHYSICAL REVIEW E 74, 015201(R) (2006)

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 4 figures. The APS version of this article is available at http://link.aps.org/abstract/PRE/v74/e015201

Scientific paper

10.1103/PhysRevE.74.015201

Our experiments on viscous fingering of air into oil contained between closely spaced plates reveal two selection rules for the fjords of oil that separate fingers of air. (Fjords are the building blocks of solutions of the zero-surface-tension Laplacian growth equation.) Experiments in rectangular and circular geometries yield fjords with base widths 1/2 lambda_c, where lambda_c is the most unstable wavelength from a linear stability analysis. Further, fjords open at an angle of 8.0 degrees plus or minus 1.0 degree. These selection rules hold for a wide range of pumping rates and fjord lengths, widths, and directions.

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