Chaos in a Continuous Stirred Tank Reactor

Chaotic behavior can be exhibited by a very simple chemical reactor model in which two exothermic reactions are carried out in a nonisothermal continuous-flow stirred tank reactor.
The parallel conversion of the two reactants and can be written:
The governing equations are [1]:
with initial conditions .
Here and represent dimensionless concentrations of and , is the dimensionless temperature, is the dimensionless time, and the Damköhler numbers [2] for the two reactions are and ; the other parameters are dimensionless numbers defined in [1].


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


[1] D. T. Lynch, S. E. Wanke, and T. D. Rogers, "Chaos in a Continuous Stirred Tank Reactor," Mathematical Modeling, 3(2), 1982 pp. 103–116. doi:10.1016/0270-0255(82)90016-1.
[2] Wikipedia. "Damköhler Numbers." (Feb 25, 2013) en.wikipedia.org/wiki/Damk%C3%B6hler_numbers.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+