Fjords in viscous fingering: Selection of width and opening angle

(2) Applied Physics Division; Department of Physics; Harry L. Swinney (1) ((1) Center for Nonlinear Dynamics; Leif Ristroph (1); Los Alamos National Laboratory); Mark B. Mineev-Weinstein (2); Matthew Thrasher (1); University of Texas at Austin

arxiv: nlin/0510049 · v4 · submitted 2005-10-21 · 🌊 nlin.PS · cond-mat.soft· physics.flu-dyn

Fjords in viscous fingering: Selection of width and opening angle

Leif Ristroph (1) , Matthew Thrasher (1) , Mark B. Mineev-Weinstein (2) , Harry L. Swinney (1) ((1) Center for Nonlinear Dynamics , Department of Physics , University of Texas at Austin , (2) Applied Physics Division , Los Alamos National Laboratory) This is my paper

classification 🌊 nlin.PS cond-mat.softphysics.flu-dyn

keywords fjordsselectionangleexperimentsfingeringlambdarulesviscous

0 comments

read the original abstract

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.

This paper has not been read by Pith yet.

Fjords in viscous fingering: Selection of width and opening angle

discussion (0)