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1992

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/9551

Perturbing Hele-Shaw flow with a small gap gradient

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http://dx.doi.org/10.1103/PhysRevA.45.2455

Abstract

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.

Subject

Dinàmica de fluids, Pertorbació (Dinàmica quàntica)

Subject (English)

Fluid dynamics, Perturbation (Quantum dynamics)

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Articles publicats en revistes (Física Quàntica i Astrofísica)

Citation

ZHAO, H., et al. Perturbing Hele-Shaw flow with a small gap gradient. Physical Review A. 1992. Vol. 45, num. 4, pags. 2455-2460. ISSN 1050-2947. [consulted: 18 of August of 2026]. Available at: https://hdl.handle.net/2445/9551

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