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Viscous fingering: A singularity in Laplacian growth models

1995; American Physical Society; Volume: 51; Issue: 5 Linguagem: Inglês

10.1103/physreve.51.r3819

1538-4519

Martine Ben Amar,

Fluid Dynamics and Thin Films

The \ensuremath{\eta} model in the linear or radial geometry is investigated numerically. It turns out that the main characteristics of the viscous fingering instability (\ensuremath{\eta}=1) at vanishing capillary number such as the \ensuremath{\lambda}=1/2 limit are not recovered. For \ensuremath{\eta}\ensuremath{\ne}1, the selected finger width decreases with the capillary parameter, indicating the formation of needlelike structures.