paper

Stationary finger solutions in the Hele-Shaw cell

arXiv:cond-mat/0408354

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.

9 pages 4 figures

Stationary finger solutions in the Hele-Shaw cell · wovepaper