Dynamics of Two Continuous Stirred-Tank Reactors Operating in Series

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Chaotic behavior can be exhibited in a model of two nonisothermal continuous stirred-tank reactors (CSTRs) operating in series with constant input and following first-order reaction kinetics .

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The governing equations are [1]

,

,

, and

,

with initial conditions ,

where , is dimensionless time, and are the dimensionless concentration of reactant and the temperature in reactor , is the Damköhler number, and is the ratio of reactor volumes ; the other parameters are dimensionless numbers defined in [1]. A constant inlet concentration of to the first reactor results in a periodic inlet concentration of to the second reactor and an outlet concentration that may be periodic, quasi-periodic, or chaotic, depending on the choice of parameters.

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Contributed by: Clay Gruesbeck (August 2013)
Open content licensed under CC BY-NC-SA


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Reference

[1] D. G. Retzloff, P. C-H. Chan, and M-S. Razavi, "Chaotic Dynamics of Sequential CSTRS," Mathematical and Computer Modelling, 14, 1990 pp. 400–405.



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