Lateral instability in normal viscous fingers

Year: 2005
  • Ledesma-Aguilar, R.
  • Reyes, M. Quevedo
  • Poiré, E. Corvera
  • Hernández-Machado, A.
Journal: Physical Review E Volume: E71
Pages: 016312-1-016312-7
ISSN: 1539-3755
We study a low-amplitude, long-wavelength lateral instability of the Saffman-Taylor finger by means of a phase-field model. We observe such an instability in two situations in which small dynamic perturbations are overimposed to a constant pressure drop. We first study the case in which the perturbation consists of a single oscillatory mode and then a case in which the perturbation consists of temporal noise. In both cases the instability undergoes a process of selection.
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