##
**CSTR**

exd2

Model of a
continuous stirred tank reactor
(CSTR).

Variables and parameters:

Da: Damköhler number (bifurcation parameter: Da)
*y*_{1} , *y*_{2}: describe the material and
energy balances
:
the heat transfer coefficient
*B*: the rise in adiabatic temperature (*B*=16.2)

CSTR model equations:

Figure 1

Branching diagram *y*_{1}(0) versus Da. One branch of stationary solutions, and two branches of periodic orbits branching off at two Hopf bifurcations.

Figure 2

*y*_{1}(*t*) simulation for
,
,
with initial values
*y*_{1}(0)=0.1644,
*y*_{2}(0)=0.6658

Figure 3

*y*_{1}(*t*) simulation for
,
,
with initial values
*y*_{1}(0)=0.9279,
*y*_{2}(0)=3.76

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Postscript-Files for better printing results:

This Example

Figure 1

Figure 2

Figure 3