• Corpus ID: 119089208

A strong contradiction in the multi-layer Hele-Shaw model

@inproceedings{Pacsa2019ASC,
  title={A strong contradiction in the multi-layer Hele-Shaw model},
  author={Gelu Pacsa},
  year={2019}
}
The Saffman-Taylor instability occurs when a less viscous fluid is displacing a more viscous one in a rectangular Hele-Shaw cell. A surface tension on the interface between the two fluids is improving the stability. The multi-layer Hele Shaw model, consisting of N intermediate fluids with constant viscosities, was studied in some previous papers and very low growth constants were obtained for large N . We prove that this model leads us to a significant instability, even if N is very large. The… 

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