Hele – Shaw flow and pattern formation in a time-dependent gap

@inproceedings{Shelley1997HeleS,
  title={Hele – Shaw flow and pattern formation in a time-dependent gap},
  author={Michael J. Shelley and Fei-Ran Tian and Krzysztof Wlodarski},
  year={1997}
}
We consider flow in a Hele–Shaw cell for which the upper plate is being lifted uniformly at a specified rate. This lifting puts the fluid under a lateral straining flow, sucking in the interface and causing it to buckle. The resulting short-lived patterns can resemble a network of connections with triple junctions. The basic instability—a variant of the Saffman–Taylor instability—is found in a version of the two-dimensional Darcy’s law, where the divergence condition is modified to account for… CONTINUE READING
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