Stationary finger solutions in the Hele-Shaw cell

G. Ka"lbermann; R. Wallach

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arXiv · cond-mat/0408354

Stationary finger solutions in the Hele-Shaw cell

G. Ka"lbermann·R. Wallach

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Abstract

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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G. Ka"lbermann, R. Wallach. 2004-08-16. Stationary finger solutions in the Hele-Shaw cell. https://arxiv.org/abs/cond-mat/0408354

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