Bending-filament model for the buckling and coiling instability of a viscous fluid rope

Shin Ichiro Nagahiro, Yoshinori Hayakawa

    Research output: Contribution to journalArticlepeer-review

    5 Citations (Scopus)

    Abstract

    A simple model is proposed for the buckling and coiling instability of a viscous "fluid rope" falling on a plane. By regarding a fluid rope as a one-dimensional flow, this model accounts for only the axial and shared viscous forces. Our model successfully reproduces several experiments with no adjustable parameters, such as the existence of three distinct coiling regimes reported in the paper by Maleki [Phys. Rev. Lett. 93, 214502 (2004)]. Our model allows for the discussion of unsteady motion. An expression for the critical fall height at which the coiling frequency changes from a decrease to increase was phenomenologically derived. It was found that the coil-uncoil transition shows remarkable hysteresis only for weak gravity condition.

    Original languageEnglish
    Article number025302
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume78
    Issue number2
    DOIs
    Publication statusPublished - 2008 Aug 12

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Condensed Matter Physics

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