Radial fingering in a Hele-Shaw cell : a weakly nonlinear analysis

@inproceedings{Miranda1997RadialFI,
  title={Radial fingering in a Hele-Shaw cell : a weakly nonlinear analysis},
  author={Jos{\'e} A. Miranda and Michael Widom},
  year={1997}
}
The Saffman–Taylor viscous fingering instability occurs when a less viscous fluid displaces a more viscous one between narrowly spaced parallel plates in a Hele–Shaw cell. Experiments in radial flow geometry form fan-like patterns, in which fingers of different lengths compete, spread and split. Our weakly nonlinear analysis of the instability predicts these phenomena, which are beyond the scope of linear stability theory. Finger competition arises through enhanced growth of sub-harmonic… CONTINUE READING

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