Lateral instability in normal viscous fingers

Rodrigo Ledesma-Aguilar; M. Quevedo-Reyes; E. Corvera Poiré; Aurora Hernández-Machado

doi:10.1103/PhysRevE.71.016312

Lateral instability in normal viscous fingers

Rodrigo Ledesma-Aguilar, M. Quevedo-Reyes, E. Corvera Poiré, Aurora Hernández-Machado

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8 Citations (Scopus)

Abstract

We study a low-amplitude, long-wavelength lateral instability of the Saffman-Taylor finger by means of a phase-field model. We observe such an instability in two situations in which small dynamic perturbations are overimposed to a constant pressure drop. We first study the case in which the perturbation consists of a single oscillatory mode and then a case in which the perturbation consists of temporal noise. In both cases the instability undergoes a process of selection.

Original language	English
Pages (from-to)	016312
Journal	Physical Review E
Volume	71
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.71.016312
Publication status	Published - 2005

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10.1103/PhysRevE.71.016312

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title = "Lateral instability in normal viscous fingers",

abstract = "We study a low-amplitude, long-wavelength lateral instability of the Saffman-Taylor finger by means of a phase-field model. We observe such an instability in two situations in which small dynamic perturbations are overimposed to a constant pressure drop. We first study the case in which the perturbation consists of a single oscillatory mode and then a case in which the perturbation consists of temporal noise. In both cases the instability undergoes a process of selection.",

author = "Rodrigo Ledesma-Aguilar and M. Quevedo-Reyes and \{Corvera Poir{\'e}\}, E. and Aurora Hern{\'a}ndez-Machado",

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T1 - Lateral instability in normal viscous fingers

AU - Ledesma-Aguilar, Rodrigo

AU - Quevedo-Reyes, M.

AU - Corvera Poiré, E.

AU - Hernández-Machado, Aurora

PY - 2005

Y1 - 2005

N2 - We study a low-amplitude, long-wavelength lateral instability of the Saffman-Taylor finger by means of a phase-field model. We observe such an instability in two situations in which small dynamic perturbations are overimposed to a constant pressure drop. We first study the case in which the perturbation consists of a single oscillatory mode and then a case in which the perturbation consists of temporal noise. In both cases the instability undergoes a process of selection.

AB - We study a low-amplitude, long-wavelength lateral instability of the Saffman-Taylor finger by means of a phase-field model. We observe such an instability in two situations in which small dynamic perturbations are overimposed to a constant pressure drop. We first study the case in which the perturbation consists of a single oscillatory mode and then a case in which the perturbation consists of temporal noise. In both cases the instability undergoes a process of selection.

UR - https://www.scopus.com/pages/publications/45849155103

U2 - 10.1103/PhysRevE.71.016312

DO - 10.1103/PhysRevE.71.016312

M3 - Article

SN - 1539-3755

SN - 1550-2376

SN - 2470-0045

SN - 2470-0053

VL - 71

SP - 016312

JO - Physical Review E

JF - Physical Review E

IS - 1

ER -

Lateral instability in normal viscous fingers

Abstract

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