Stationary finger solutions in the Hele-Shaw cell

2004/08/16 by G. Ka"lbermann, Rony Wallach, Ka"lbermann, G. +2
Physics and Astronomy · #FOS: Physical sciences #Opinion Dynamics and Social Influence #Other Condensed Matter (cond-mat.other) #Quantum many-body systems #Soft Condensed Matter (cond-mat.soft) #Theoretical and Computational Physics #cond-mat.other #cond-mat.soft

paper · pdf · doi:10.48550/arxiv.cond-mat/0408354

9 pages 4 figures

arxiv created 2004/08/16 · openalex publication_date 2004/08/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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