The problem of chemical reactor stability has received considerable attention in the chemical engineering literature since the early 1950s. The first work discussing the dynamic behavior of continuous stirred tank reactors appeared in 1953 by Van Heerden [1]. The analysis of local stability of the reactor steady states was not undertaken on a rigorous basis until Biolous and Amundson [1] . Aris and Amundson [2] were the first to show that in addition to multiple steady states, undamped oscillations in the form of limit cycles can occur for some combination of system parameters. They realized that these limit cycles bifurcated at the threshold value of some system parameter when the stable steady state became unstable.

The continuous stirred tank reactor is the simplest flow reactor, in which the reactor contents are kept well mixed. Therefore, the concentration of species

The dynamic model of a first order reaction

and the transient energy balance in terms of a dimensionless temperature, u is

The heat of reaction intensity is represented by the dimensionless variable, b, which is

It will be shown in the results and analysis section, that there exists three steady states, two of which are stable and correspond to high and low conversions. The middle conversion corresponds to a steady state that is always unstable. In the analysis section, we will also show a scenario when system parameters allow limit cycles to occur.

1. Uppal, A., Ray, W.H., Poore, A.B.

2. Aris, R., Amundson, N.R.

Time: 7:05 PM