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Perturbing Hele-Shaw flow with a small gap gradient

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A controlled perturbation is introduced into the Saffman-Taylor flow problem by adding a gradient to the gap of a Hele-Shaw cell. The stability of the single-finger steady state was found to be strongly affected by such a perturbation. Compared with patterns in a standard Hele-Shaw cell, the single Saffman-Taylor finger was stabilized or destabilized according to the sign of the gap gradient. While a linear stability analysis shows that this perturbation should have a negligible effect on the early-stage pattern formation, the experimental data indicate that the characteristic length for the initial breakup of a flat interface has been changed by the perturbation.

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ZHAO, H., CASADEMUNT I VIADER, Jaume, YEUNG, C., MAHER, J. v.. Perturbing Hele-Shaw flow with a small gap gradient. _Physical Review A_. 1992. Vol. 45, núm. 4, pàgs. 2455-2460. [consulta: 25 de febrer de 2026]. ISSN: 1050-2947. [Disponible a: https://hdl.handle.net/2445/9551]

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