Discrete scale invariance in viscous fingering patterns

Roy, A. ; Roy, S. ; Bhattacharyya, A. J. ; Banerjee, S. ; Tarafdar, S. (1999) Discrete scale invariance in viscous fingering patterns The European Physical Journal B: Condensed Matter and Complex Systems, 12 (1). pp. 1-3. ISSN 1434-6028

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Official URL: https://link.springer.com/article/10.1007/s1005100...

Related URL: http://dx.doi.org/10.1007/s100510050966


We study viscous fingering patterns in a lifting Hele-Shaw cell, where a non-Newtonian fluid (oil paint) is displaced by air. The lengths of the air fingers are measured and their cumulative distribution is seen to follow a power law with log-periodic oscillations indicating the presence of discrete scale invariance.

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