# Analyzing a Rectifying Column Using the Calculus of Finite Differences

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This Demonstration analyzes a rectifying column for a binary mixture with a constant-relative volatility . A binary mixture enters the bottom of the column with a mole fraction composition . At the top of the column, the vapor is sent to a condenser. A portion of the condensed liquid is returned to the column. The mass balance for this operation by stages is described by the following nonlinear Riccati equation [1, 2]:

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Contributed by: Housam Binous, Brian G. Higgins, and Ahmed Bellagi (February 2013)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

A schematic of the rectifying column:

References

[1] F. M. Tiller and R. S. Tour, "Stagewise Operations—Applications of the Calculus of Finite Differences to Chemical Engineering," *Transactions of the American Institute of Chemical Engineers*, 40, 1944 pp. 317–332.

[2] R. G. Rice and D. D. Do, *Applied Mathematics and Modeling for Chemical Engineers*, New York: Wiley, 1995.

## Permanent Citation