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Dynamics of a binary distillation column: Case of a Cyclohexane-Heptane mixture
Author

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
URL: http://sites.google.com/site/homepageofdrhousambinous/
Revision date

2007-05-29
Description

Dynamic simulation of a distillation column with 32 stages is performed. We consider that the activity coefficients of the cyclohexane – heptane binary mixture are given by Wilson’s model. We find the steady state mole fractions and temperatures in all stages when the reflux ratio is equal to 3. We then perform a step in the reflux ratio (we take a reflux ratio equal to 1.5). We plot the dynamic behaviour of the mole fractions and temperatures in all stages. This problem is an excellent opportunity to find out how Mathematica's function NDSolve can readily solve complex differential algebraic systems of equations (DAEs). This computation was inspired from a Matlab program available at the Nonlinear Model Database by John Hedengren (University of Texas). For more models, please visit the following link:
http://www.che.utexas.edu/~john/research/models.htm
Subjects

*Applied Mathematics
*Applied Mathematics > Numerical Methods
*Engineering > Chemical Engineering
*Science > Chemistry
Keywords

Dynamic simulation, distillation column, Wilson model, binary mixture of cyclohexane - heptane, step in the reflux ratio, differential algebraic systems of equations (DAEs)
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DynamicsWilson.nb (189.5 KB) - Mathematica Notebook [for Mathematica 5.2]