Chaotic rotation of triaxial ellipsoids in simple shear flow

Alexander Yarin, O. Gottlieb, I. V. Roisman

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59 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
Publication statusPublished - 1997 Jun 10
Externally publishedYes

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ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

Yarin, A., Gottlieb, O., & Roisman, I. V. (1997). Chaotic rotation of triaxial ellipsoids in simple shear flow. Journal of Fluid Mechanics, 340, 83-100.