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Diffusion-limited aggregation and viscous fingering in a wedge: Evidence for a critical angle

机译:扩散受限的聚集和楔形中的粘性指法:临界角的证据

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摘要

We show that both analytic and numerical evidence points to the existence of a critical angle of eta approximate to 60 degrees-70 degrees in viscous fingers and diffusion-limited aggregates growing in a wedge. The significance.of this angle is that it is the typical angular spread of a major finger. For wedges with an angle larger than 2 eta, two fingers can coexist. Thus a finger with this angular spread is a kind of building block for viscous fingering patterns and diffusion-limited aggregation clusters in radial geometry. [References: 21]
机译:我们表明,分析和数值证据均表明,在粘性手指中存在大约60度至70度的eta临界角,并且在楔形体中扩散受限。该角度的意义在于,它是一个主要手指的典型角度扩展。对于角度大于2 eta的楔形物,两个手指可以共存。因此,具有这种角展度的手指是一种用于粘性指法模式和径向几何中扩散受限的聚集簇的构建块。 [参考:21]

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