Stationary finger solutions in the Hele-Shaw cell

Physics – Condensed Matter – Soft Condensed Matter

Scientific paper

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9 pages 4 figures

Scientific paper

We solve numerically the nonlinear differential equation for the Hele-Shaw,
Saffman-Taylor problem derived in the preceding work. Stationary solutions with
no free phenomenological parameters are found to fit the measured patterns. The
calculated finger half-widths as a function of the physical parameters of the
cell, compare satisfactorily with experiment.

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