Performance of a Batch Reactive Distillation System versus a Plug Flow Reactor

Consider the reaction sequence: , where is the lightest component and is the heaviest component. We assume that the desired product is component . This Demonstration compares the performances (yield and selectivity) of a plug-flow reactor (PFR) and a batch reactive distillation (BRD) system. It is found that the BRD system is superior to the PFR as far as yield and selectivity are concerned. This makes using BRD systems very attractive for such a reaction scheme and component volatilities. In order to make the calculations, the distillate rate policy is specified so that the distillate rate is proportional to the still's molar hold-up. In addition, we suppose that the reaction is taking place only in the still and that the distillate mole fraction of component is 100%. The method of Doherty and coworkers is slightly modified by taking a small time step (0.01) and choosing the constraint instead of equation (11) in their paper (see the Details section).



  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


The first and second Damköhler numbers are defined as the dimensionless ratios of the characteristic liquid residence time to the characteristic reaction time. For example, the first Damköhler number for the BRD system is given by , where is the rate constant of the first reaction, and and are the initial molar holdup in the reactor (the still) and the initial distillate rate, respectively.
S. B. Gadewar, M. F. Malone and M. F. Doherty, "Selectivity Targets for Batch Reactive Distillation," Ind. Eng. Chem. Res., 39(6), 2000 pp. 1565-1575.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+