# Chaos in a Continuous Stirred Tank Reactor

Chaos in a Continuous Stirred Tank Reactor

Chaotic behavior can be exhibited by a very simple chemical reactor model in which two exothermic reactions are carried out in a nonisothermal continuous-flow stirred tank reactor.

The parallel conversion of the two reactants and can be written:

A

B

A→C

B→D

The governing equations are [1]:

dY

dt

Da

1

γ

1

e

dZ

dt

Da

2

γ

2

e

dT

dt

β

1

Da

1

γ

1

e

β

2

Da

2

γ

2

e

with initial conditions .

Y(0)=Z(0)=T(0)=1

Here and represent dimensionless concentrations of and , is the dimensionless temperature, is the dimensionless time, and the Damköhler numbers [2] for the two reactions are and ; the other parameters are dimensionless numbers defined in [1].

Y

Z

A

B

T

t

Da

1

Da

2