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Phase-field approach to spatial perturbations in normal Saffman-Taylor fingers
Quevedo-Reyes, M.; Hernández Machado, Aurora; Corvera Poiré, Eugenia
Universitat de Barcelona
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.
26-07-2011
Física estadística
Dinàmica de fluids
Pertorbació (Dinàmica quàntica)
Termodinàmica
Sistemes dinàmics diferenciables
Statistical physics
Fluid dynamics
Perturbation (Quantum dynamics)
Thermodynamics
Differentiable dynamical systems
(c) The American Physical Society, 2006
Artículo
The American Physical Society
         

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