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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/18759
Phase-field approach to spatial perturbations in normal Saffman-Taylor fingers
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We make a numerical study of the effect that spatial perturbations have in normal Saffman-Taylor fingers driven at constant pressure gradients. We use a phase field model that allows for spatial variations in the Hele-Shaw cell. We find that, regardless of the specific way in which spatial perturbations are introduced, a lateral instability develops on the sides of the propagating Saffman-Taylor finger. Moreover, the instability exists regardless of the intensity of spatial perturbations in the cell as long as the perturbations are felt by the finger tip. If, as the finger propagates, the spatial perturbations felt by the tip change, the instability is nonperiodic. If, as the finger propagates, the spatial perturbations felt by the tip are persistent, the instability developed is periodic. In the later case, the instability is symmetrical or asymmetrical depending on the intensity of the perturbation.
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QUEVEDO-REYES, M., HERNÁNDEZ MACHADO, Aurora and CORVERA POIRÉ, Eugenia. Phase-field approach to spatial perturbations in normal Saffman-Taylor fingers. Physical Review E. 2006. Vol. 73, num. 066308-1-066308-8. ISSN 1063-651X. [consulted: 17 of June of 2026]. Available at: https://hdl.handle.net/2445/18759