9711

Graphical Solution for a Multistage Continuous Feed-and-Bleed Ultrafiltration System

Consider a continuous feed-and-bleed ultrafiltration multistage unit, using the gel polarization model for the limiting flux.
A protein solution is fed into an -stage continuous feed-and-bleed ultrafiltration system at a rate of 1 L/min. The feed enters at 10 g/L and the gel concentration can be taken to be 300 g/L. The mass transfer coefficient is in each stage and the corresponding area equals 0.9 .
You can use a graphical approach developed by Foley [1] to obtain a value of the retentate concentration that exits the last membrane separation module. The blue curve is the flux curve, which can be thought of as an equilibrium line. The green lines trace the progress of the operation.
This Demonstration displays this approach and gives the value of the concentration factor (i.e. the ratio of the exit concentration to the inlet concentration). It is clear that beyond four stages, improvement of the concentration factor is negligible.

SNAPSHOTS

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

DETAILS

Reference
[1] G. Foley, "Solution of Algebraic Equations in the Analysis, Design and Optimization of Continuous Ultrafiltration,"
Chemical Engineering Education, 45(1), 2011 pp. 59–64.
    • 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.









 
RELATED RESOURCES
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 © 2014 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+