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Chaotic dynamics of a cascade of plug flow tubular reactors (PFTRs) with division of recirculating stream

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  • Merta, Henryk
  • Pelka, Rafał

Abstract

In the paper the analysis of the dynamics of a cascade of two homogeneous plug-flow tubular reactors with a divided recirculating stream at each stage is considered. Two cases were numerically analyzed, viz. with and without time delay in the recirculation loop. The results are presented in the form of Feigaubaum diagrams and Poincaré maps. It is demonstrated that the analyzed system is characterized by quite complex dynamics including chaotic behavior.

Suggested Citation

  • Merta, Henryk & Pelka, Rafał, 2005. "Chaotic dynamics of a cascade of plug flow tubular reactors (PFTRs) with division of recirculating stream," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1211-1219.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:4:p:1211-1219
    DOI: 10.1016/j.chaos.2004.06.019
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    1. Merta, Henryk & Pelka, Rafal, 2007. "Numerical analysis of behaviour of tubular reactors with different residence time and variable division of the recirculation stream," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1204-1212.
    2. Chu, Yan-Dong & Chang, Ying-Xiang & Zhang, Jian-Gang & Li, Xian-Feng & An, Xin-Lei, 2009. "Full state hybrid projective synchronization in hyperchaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1502-1510.
    3. An, Xin-Lei & Yu, Jian-Ning & Chu, Yan-Dong & Zhang, Jian-Gang & Zhang, Li, 2009. "Global chaos synchronization of three coupled nonlinear autonomous systems and a novel method of chaos encryption," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 865-873.
    4. Berezowski, M. & Kulik, B., 2009. "Periodicity of chaotic solutions of the model of thermally coupled cascades of chemical tank reactors with flow reversal," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 331-336.
    5. Zhang, Jian-Gang & Li, Xian-Feng & Chu, Yan-Dong & Yu, Jian-Ning & Chang, Ying-Xiang, 2009. "Hopf bifurcations, Lyapunov exponents and control of chaos for a class of centrifugal flywheel governor system," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2150-2168.
    6. Merta, Henryk & Pelka, Rafal, 2009. "Investigation of the temperature changes of the divided recirculation stream on the dynamics of the tubular reactor cascade," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1680-1687.

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