The effect of incomplete mixing upon quadratic autocatalysis


  • Ahmed Hussein Msmali
  • Mark Nelson
  • Maureen Edwards



incomplete mixing, CSTR, performance, quadratic autocatalysis


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. References
  • 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.





Proceedings Engineering Mathematics and Applications Conference