Background:
The model describes the residence time in a chemostat reactor in form of a
steady-state-system.
The Mathematical Model:
The underlying system of equations is
r k_{2} c - 0.0553 D
e
= 0
k_{1} s (e - c) - k_{2} c -
0.0553 D c = 0
-k_{1} s (e - c) + 0.0553 D (s_{0}
- s) = 0
e_{,} c, and s are the state variables, i.e., the solution variables of the system of equations, depending on a concentration D for which measurements subject to the fitting criterion 0.0553 D e are generated. Parameters to be estimated, are k_{1} and k_{2}.
Literature:
Edgar T.F., Himmelblau D.M. (1988): Optimization of Chemical Processes,
McGraw-Hill
Implementation:
The complete solution of a data fitting problem is described
in six
steps:
Results:
Then you would like to take a look at reports and graphs:
- parameter values
- experimental data versus fitting criterion
Model equations (or use your own favorite editor):
Measurement data (or use import function for text file or Excel):
Parameters, tolerances and start of a data fitting run:
Numerical results (computed by the least squares code DFNLP):
Report on parameter values, residuals, performance, etc. (or export to Word):
Experimental data versus fitting criterion (also available for Gnuplot):