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Lateral instability in normal viscous fingers

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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.

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Articles publicats en revistes (Física Quàntica i Astrofísica)

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Lateral instability in normal viscous fingers