Controlling fingering instabilities in nonflat Hele-Shaw geometries.

@article{Reis2011ControllingFI,
  title={Controlling fingering instabilities in nonflat Hele-Shaw geometries.},
  author={Luciano dos Reis and Jos{\'e} A. Miranda},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2011},
  volume={84 6 Pt 2},
  pages={066313}
}
In analogy to the viscous fingering problem between parallel flat plates, injection-driven flow in nonflat (conical and spherical) Hele-Shaw cells gives rise to ramified interfacial structures. The multiple occurrences of fingertip-splitting events makes the resulting pattern difficult to predict and to control. We calculate expressions for time-dependent injection rates that suppress the development of bifurcated shapes on curved confined environments. Implementation of these injection… CONTINUE READING