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Bifurcation and stability of forced convection in tightly coiled ducts: multiplicity

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  • Wang, Liqiu
  • Pang, Ophelia
  • Cheng, Lin

Abstract

A numerical study is made on the fully developed bifurcation structure of the forced convection in tightly coiled ducts of square cross-section. In addition to the examination of structural changes of three known solution branches found in loosely coiled ducts, three new solution branches are found. These new branches are isolated from the three known branches. The flows on these new branches are in a symmetric 4-cell state, a symmetric 8-cell state, an asymmetric 2-cell state, an asymmetric 5-cell state, an asymmetric 7-cell state, or an asymmetric 8-cell structure.

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  • Wang, Liqiu & Pang, Ophelia & Cheng, Lin, 2005. "Bifurcation and stability of forced convection in tightly coiled ducts: multiplicity," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 337-352.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:2:p:337-352
    DOI: 10.1016/j.chaos.2004.12.026
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    1. Wang, Liqiu & Pang, Ophelia & Cheng, Lin, 2006. "Bifurcation and stability of forced convection in tightly coiled ducts: stability," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 991-1005.

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