Unsteady-State Interphase Diffusion

This Demonstration considers the mass transfer of a substance A between two immiscible solvents I and II. The concentration in both phases is plotted versus position for various values of the diffusion coefficients (in , and , time (in seconds), and Henry law constant (a dimensionless constant). When the concentration of A is continuous at the interface, which is not typical. The concentration profiles are solutions of the following diffusion equations and boundary conditions:
,
,
for ,
for , ,
at ,
at ,
at .
Using Laplace transforms, one can easily derive analytical expressions of the concentrations in phases I and II:
,
.


R. B. Bird, W. E. Stewart, and E. N. Lightfoot, Transport Phenomena, New York: Wiley, 1960.
comments
 
Powered by Wolfram Mathematica
Give us your feedback
Give us your feedback

Source page:




 often  occasionally  never

Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed.
Privacy Policy »

Note: To run this Demonstration you need the free
Mathematica Player
or Mathematica 7+
Download or upgrade to Mathematica Player 7
I already have Mathematica Player or Mathematica 7+