# Batch Reactor Using the Segregation Model

Batch Reactor Using the Segregation Model

Consider a mixture distribution formed by taking a weighted sum of three normal distributions and given by

f(x)=++

1

5

2π

-2

2

x

e

1

σ

1

-2

2

(x-)

μ

1

2

σ

1

e

3

σ

2

-2

2

(x-)

μ

2

2

σ

2

e

You can change this distribution's properties by varying , , , and . This Demonstration plots this distribution. For specific values of , , , and , you can obtain a bimodal distribution, which mimics the residence time distribution (or ) of a batch reactor.

μ

1

μ

2

σ

1

σ

2

μ

1

μ

2

σ

1

σ

2

RTD

The following sequential reaction mechanism takes place in this reactor:

A+B→C

A→D

B+D→E

All rate constants are set equal to one. Initially, the reactor contains only species and .

A

B

The segregation model and the function allow the calculation of the exit concentration as a function of time for all species. This Demonstration gives the exit concentration in light blue, magenta, brown, green, and dark blue for species , , , , and , respectively. The first two snapshots show: (1) a bimodal and (2) the batch reactor's exit concentrations versus time, which present two plateaus as expected.

RTD

A

B

C

D

E

RTD