Oscillatory instability of 2D natural convection flow in a square enclosure with a tandem of vertically aligned cylinders

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Abstract

The oscillatory instability of 2D natural convection flow in a cooled square enclosure with a tandem of vertically aligned cylinders was investigated in detail. The study was performed by applying linear stability analysis and time integration of slightly perturbed flows. As a function of the distance between the two cylinders the flow underwent a transition to unsteadiness via either a symmetry-breaking or a symmetry-preserving first Hopf bifurcation. The critical values of the Rayleigh number Ra cr and the oscillatory instability ω cr for the transition to unsteadiness were accurately estimated. An extensive discussion of the scenarios determining the mechanisms driving the onset of the observed instabilities is presented.

Original languageEnglish
Article number051410
JournalFluid Dynamics Research
Volume50
Issue number5
DOIs
StatePublished - 9 Aug 2018

Keywords

  • distributed Lagrange multiplier
  • immersed boundary method
  • linear stability analysis
  • natural convection flow
  • tandem of vertically aligned cylinders

ASJC Scopus subject areas

  • Mechanical Engineering
  • Physics and Astronomy (all)
  • Fluid Flow and Transfer Processes

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