Simple Reaction with Segregation in a Batch Reactor

Requires a Wolfram Notebook System

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

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

Consider a simple chemical reaction in a batch reactor. The reaction rate in terms of the intensity of mixing, , is given by: , where and are the instantaneous concentrations, and are the mean concentrations, and and are the initial concentrations of species and . The governing equation is the following:

[more]

.

This equation can be written in dimensionless form as:

, where is the initial concentration ratio, is the dimensionless time, is the mixing time, is the dimensionless concentration, is the Damköhler number (a dimensionless number that is a measure of the reaction time versus mixing time), and is the degree of segregation.

This Demonstration displays the dimensionless concentration versus the dimensionless time for various values of the Damköhler number and the initial concentration ratio. It is straightforward to see that the steady-state dimensionless concentration is independent of the Damköhler number. The Damköhler number has an influence only on how fast this steady-state dimensionless concentration is reached. This steady-state dimensionless concentration is equal to When , there is an analytical expression for the dimensionless concentration, which is given by:

, with .

[less]

Contributed by: Housam Binous (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

J. Ingham, I. J. Dunn, E. Heinzle, and J. E. Prenosil, Chemical Engineering Dynamics, 2nd ed., Weinheim, Germany: Wiley-VCH, 2000 pp. 450–451.



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