Dynamics of Two Continuous Stirred-Tank Reactors Operating in Series

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

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.


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




[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.

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.