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A unified system describing dynamics of chaotic convection

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  • Sheu, Long Jye
  • Chen, Juhn Horng
  • Chen, Hsien Keng
  • Tam, Lap Mou
  • Chao, Yi Chi

Abstract

Since Lorenz’s work, many autonomous systems for investigating chaotic thermal convection in pure fluid layers or in fluid-saturated porous media have been presented. From considering thermal convection in Oldroydian fluid-saturated porous media using thermal non-equilibrium model, a novel, unified system with six-order dynamics of chaotic convection was derived in this study. The six-order system can be used to investigate thermal convection in both pure Newtonian/viscoelastic fluid layers and in Newtonian/viscoelastic fluid-saturated porous media. Most of the chaotic convection systems previously reported in the literature are shown to be special cases of the system presented in this study.

Suggested Citation

  • Sheu, Long Jye & Chen, Juhn Horng & Chen, Hsien Keng & Tam, Lap Mou & Chao, Yi Chi, 2009. "A unified system describing dynamics of chaotic convection," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 123-130.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:1:p:123-130
    DOI: 10.1016/j.chaos.2007.11.017
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    1. Sheu, Long-Jye, 2006. "An autonomous system for chaotic convection in a porous medium using a thermal non-equilibrium model," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 672-689.
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    1. Sheu, Long-Jye & Tam, Lap-Mou & Chen, Juhn-Horng & Chen, Hsien-Keng & Lin, Kuang-Tai & Kang, Yuan, 2008. "Chaotic convection of viscoelastic fluids in porous media," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 113-124.

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