TY - JOUR
T1 - Fjords in viscous fingering
T2 - Selection of width and opening angle
AU - Ristroph, Leif
AU - Thrasher, Matthew
AU - Mineev-Weinstein, Mark B.
AU - Swinney, Harry L.
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2006
Y1 - 2006
N2 - 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 λc/2, where λc is the most unstable wavelength from a linear stability analysis. Further, fjords open at an angle of 8.0°±1.0°. These selection rules hold for a wide range of pumping rates and fjord lengths, widths, and directions.
AB - 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 λc/2, where λc is the most unstable wavelength from a linear stability analysis. Further, fjords open at an angle of 8.0°±1.0°. These selection rules hold for a wide range of pumping rates and fjord lengths, widths, and directions.
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U2 - 10.1103/PhysRevE.74.015201
DO - 10.1103/PhysRevE.74.015201
M3 - Article
AN - SCOPUS:33749013281
SN - 1539-3755
VL - 74
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 1
M1 - 015201
ER -