Part I of this article appeared in the December, 1955, issue of the A.I.Ch.E. Journal.
Chemical reactor stability and sensitivity: II. Effect of parameters on sensitivity of empty tubular reactors†
Article first published online: 17 JUN 2004
Copyright © 1956 American Institute of Chemical Engineers
Volume 2, Issue 1, pages 117–126, March 1956
How to Cite
Bilous, O. and Amundson, N. R. (1956), Chemical reactor stability and sensitivity: II. Effect of parameters on sensitivity of empty tubular reactors. AIChE J., 2: 117–126. doi: 10.1002/aic.690020124
- Issue published online: 17 JUN 2004
- Article first published online: 17 JUN 2004
In this paper extensive calculations on the quasi isothermal tubular reactor are presented. Temperature and concentration profiles were obtained on an analogue computer (R.E.A.C.). The calculations tend to show that there are regions of operation in which the reactor effluent is very sensitive to operating conditions. For example, it is shown that in some regions of operation a small change in the heat transfer coefficient at the reactor wall or a small dilution of the feed will produce large changes in the effluent. In such cases the reactor is said to exhibit parametric sensitivity. It is shown analytically that this sensitivity may be predicted by analyzing the frequency response or transient response of the reactor approximated by a local linearization. This linearization requires complete solutions of the steady state problem. Semiquantitative results are then obtained for the regulation required from a given specification of product limits. The frequency-response analysis should be useful in connection with the control problem.
If the reactor is fed partially with a recycle stream, then experience with electrical systems indicates that the possibility of instability exists. It is shown that at least theoretically these instabilities do exist, and a method based on the transfer function is developed for derivation of criteria of stability or instability.