Chaotic rotation of triaxial ellipsoids in simple shear flow

A. L. Yarin, O. Gottlieb, I. V. Roisman

    Research output: Contribution to journalArticlepeer-review

    76 Citations (Scopus)

    Abstract

    Chaotic behaviour is found for sufficiently long triaxial ellipsoidal non-Brownian particles immersed in steady simple shear flow of a Newtonian fluid in an inertialess approximation. The result is first determined via numerical simulations. An analytic theory explaining the onset of chaotic rotation is then proposed. The chaotic rotation coexists with periodic and quasi-periodic motions. Quasi-periodic motions are depicted by regular closed loops and islands in the system Poincaré map, whereas chaotic rotations form a stochastic layer.

    Original languageEnglish
    Pages (from-to)83-100
    Number of pages18
    JournalJournal of Fluid Mechanics
    Volume340
    DOIs
    Publication statusPublished - 1997 Jun 10

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Mechanics of Materials
    • Mechanical Engineering
    • Applied Mathematics

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