Journal of computational fluids engineering (한국전산유체공학회지)

Korean Society of Computational Fluids Engineering (한국전산유체공학회)
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QUASI-PERIODICITY AND CHAOTIC CONVECTION IN A HORIZONTAL ANNULUS WITH A CONSTANT HEAT FLUX WALL

일정 열 유속 벽을 갖는 수평 환형 공간에서의 준주기성과 혼돈대류

  • 유주식 (안동대학교 기계교육과)
  • Received : 2011.06.21
  • Accepted : 2011.08.12
  • Published : 2011.09.30
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Abstract

This study investigates the bifurcation sequence to chaos in a horizontal annulus with a constant heat flux wall. After the first Hopf bifurcation from a steady to a simple time-periodic flow with a fundamental frequency, quasi-periodic flows with two or three incommensurable frequencies appear. A reverse transition from a quasi-periodic flow to a simple periodic flow is observed with increase of Rayleigh number. And finally, chaotic convection is established after appearance of three incommensurable frequencies at a high Rayleigh number. Simple periodic flows exist between quasi periodic flows. The transition route to chaos of the present simulations follows the Ruelle-Takens route.

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References

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