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Patterns and flow in frictional fluid dynamics

Author

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  • B. Sandnes

    (School of Chemical and Biomolecular Engineering, University of Sydney
    University of Oslo
    Macquarie University)

  • E.G. Flekkøy

    (University of Oslo)

  • H.A. Knudsen

    (University of Oslo)

  • K.J. Måløy

    (University of Oslo)

  • H. See

    (School of Chemical and Biomolecular Engineering, University of Sydney)

Abstract

Pattern-forming processes in simple fluids and suspensions have been studied extensively, and the basic displacement structures, similar to viscous fingers and fractals in capillary dominated flows, have been identified. However, the fundamental displacement morphologies in frictional fluids and granular mixtures have not been mapped out. Here we consider Coulomb friction and compressibility in the fluid dynamics, and discover surprising responses including highly intermittent flow and a transition to quasi-continuodynamics. Moreover, by varying the injection rate over several orders of magnitude, we characterize new dynamic modes ranging from stick-slip bubbles at low rate to destabilized viscous fingers at high rate. We classify the fluid dynamics into frictional and viscous regimes, and present a unified description of emerging morphologies in granular mixtures in the form of extended phase diagrams.

Suggested Citation

  • B. Sandnes & E.G. Flekkøy & H.A. Knudsen & K.J. Måløy & H. See, 2011. "Patterns and flow in frictional fluid dynamics," Nature Communications, Nature, vol. 2(1), pages 1-8, September.
    • Handle: RePEc:nat:natcom:v:2:y:2011:i:1:d:10.1038_ncomms1289
    DOI: 10.1038/ncomms1289
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