9860

Dynamics of Two Continuous Stirred-Tank Reactors Operating in Series

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 .
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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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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