The effect of incomplete mixing upon quadratic autocatalysis

Ahmed Hussein Msmali, Mark Nelson, Maureen Edwards


We analyse a model for a continuously stirred tank reactor with imperfect mixing in which the reactor is represented by two well mixed compartments with material transfer between them. These reactors represent `highly agitated' and `less agitated' regions. The chemical model used is a quadratic autocatalytic scheme with linear decay of the autocatalyst. We investigate how the reactor performance depends upon the degree of mixing in the reactor and the size of the less agitated region. Surprisingly, the performance of the reactor with sufficiently small values of mixing is inferior to that with no mixing between the compartments.

  • T. E. Corrigan and W. O. Beavers. Dead space interaction in continuous stirred tank reactors. Chemical Engineering Science, 23:1003--1006, 1968.
  • H. S. Fogler. Elements of Chemical Reaction Engineering. Prentice Hall PTR, Upper Saddle River, New Jersey, USA, third edition, 1999.
  • P. Gray and S. K. Scott. Autocatalytic reactions in the isothermal continuous stirred tank reactor. Chemical Engineering Science, 38, 1983, 29--43.
  • J. D. Murray. Mathematical Biology, 2nd edition, 1989.


incomplete mixing, CSTR, performance, quadratic autocatalysis

Full Text:



Remember, for most actions you have to record/upload into OJS
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.