Precessing cube: Resonant excitation of modes and triadic resonance

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9 Scopus citations

Abstract

Numerical simulations of the response flow in a fluid-filled rotating cube that is subjected to precessional forcing are examined over a wide range of rotation, precession and forcing frequencies. The responses are shown to correspond to resonantly excited inertial modes of the rotating cube that have the same spatio-temporal symmetry as the precessional forcing and, under certain conditions, the response flow loses stability via symmetry breaking that is intricately associated with a triadic resonance between the forced flow and two free inertial modes whose spatio-temporal symmetries do not coincide with that of the precessional forcing.

Original languageEnglish (US)
Article numberA6
Journaljournal of fluid mechanics
Volume887
DOIs
StatePublished - 2020

Keywords

  • parametric instability
  • rotating flows

ASJC Scopus subject areas

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

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