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Discrete scale invariance in viscous fingering patterns

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Abstract:

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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Authors and Affiliations

  1. Physics Department, Condensed Matter Physics Research Centre,Jadavpur University, 700032, Calcutta, India

    A. Roy, S. Roy & S. Tarafdar

  2. S.N. Bose National Centre for Basic Sciences, Block-JD,Salt Lake, 700091, Calcutta, India

    A.J. Bhattacharyya

  3. Indian Association for the Cultivation of Science, Jadavpur, 700032, Calcutta, India

    S. Banerjee

Authors
  1. A. Roy
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  2. S. Roy
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  3. A.J. Bhattacharyya
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  4. S. Banerjee
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  5. S. Tarafdar
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Received 21 May 1999

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Roy, A., Roy, S., Bhattacharyya, A. et al. Discrete scale invariance in viscous fingering patterns. Eur. Phys. J. B 12, 1–3 (1999). https://doi.org/10.1007/s100510050966

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  • DOI: https://doi.org/10.1007/s100510050966

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