A unified system describing dynamics of chaotic convection

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

Chaos, Solitons & Fractals, 2009, vol. 41, issue 1, 123-130

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:1:p:123-130

DOI: 10.1016/j.chaos.2007.11.017

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