Wolfram Demonstrations Project

13,000+ Open Interactive Demonstrations
Powered by Notebook Technology »

Dynamics of Two Coupled Continuously Stirred Tank Reactors

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration shows the dynamic behavior of two coupled continuously stirred tank reactors (CSTRs) in which an autocatalytic reaction with product inhibition takes place. The system is described by six ordinary differential equations, three for each reactor [1].

[more]

,

,

,

,

,

.

Here and are dimensionless concentrations in reactors 1 and 2, is the dimensionless time, and the other quantities are dimensionless parameters. The parameter values are fixed at and .

The parameters of interest are , the coupling coefficient, which may be viewed as the ratio of cross-flow rate to feed rate to reactor 1, and , the ratio of Damköhler numbers of the reactors. When , each reactor has a stable periodic solution with a period 2.0917; increasing the value of decreases the frequency. Increasing the coupling coefficient shows interesting states of oscillation that lead to steady states for intermediate values of the coefficient.

[less]

Contributed by: Clay Gruesbeck (March 2013)
Open content licensed under CC BY-NC-SA

Snapshots

Details

Reference

[1] M. A. Taylor and L. K. Kevrekidis, "Some Common Dynamic Features of Coupled Reacting Systems," Physica D, 51(1–3), 1991 pp. 274–292. doi:10.1016/0167-2789(91)90239-6.

Embed Code

Take advantage of the Wolfram Notebook Emebedder for the recommended user experience.

Related Demonstrations More by Author
Browse all topics
Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send