Transient Behavior of N CSTRs in Series with Chemical Reaction

Consider the chemical reaction: taking place in CSTRs (continuously stirred tank reactors) in series. The tanks' holding time, , is assumed constant equal to 1. The inlet to the first reactor is pure . The reaction rate constants are chosen as: , , , and . It is also assumed that the concentration of all species in all tanks is initially equal to zero. An analytical expression for the exit concentration of the three chemical species was found by Acrivos and Amundson in 1955 (see reference below a for detailed derivation using matrix mathematics).
This Demonstration plots the transient behavior of the exit concentration of species , , and in blue, magenta, and brown, respectively, for user-set values of the number of CSTRs in series.


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


[1] A. Acrivos and N. R. Amundson, "Application of Matrix Mathematics to Chemical Engineering Problems," Industrial and Engineering Chemistry, 47(8), 1955 pp. 1533–1541.
    • 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+