Page 61 - Packed bed columns for absorption, desorption, rectification and direct heat transfer

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The equations above reflect the following:
1. The heat and mass transfer are entirely gas-side controlled.
2. The effect of the axial mixing in the gas phase is negligible.
3. The gas and liquid phase are uniformly distributed over the cross-
section of the apparatus.
The complicated systems of partial differential equation can be used
only by means of a complicated computer program. In many cases in practice
the existing problems are quite simpler. For one component transfer between
gas and liquid phase, equation (165), in terms of K r and Y can be written as
follows:

(179)
an
or

dG = K Ya e(Y - Y*).dh , (180)

The concentrations of the gas and the liquid phase are replaced respectively by

dG
dY = (181)
G,'

fflu
dG
dX = (182)

2
where GY and Grare the molar flows of gas and liquid phase in kmol/(m ,s).
In case of a linear equilibrium

Y* = mX*. (183)

From Eq.(182) and (183) it follows:

(184)