Mathematical Modeling and Scale-up of Liquid Chromatography

A book written by Tingyue Gu, Dept. of Chemical Engineering, Ohio University
Published by Springer Verlag, Berlin-New York, 1995. (ISBN 3-540-58884-1)
Available from and other book sellers. Currently out of print. Springer will start printing again only after they accumulate enough back orders. 

2nd edition with application examples is currently in press. It is 65% longer than the 1st version. It will be available in Spring or early Summer of 2015 from Springer.

Corrections are listed below.


Liquid chromatography is no longer limited to chemical analysis. It has become an indispensable tool for the preparative- and large-scale purifications of proteins and other fine chemicals. So far, the scale-up of liquid chromatography relies mostly on trial and error and a few scaling rules that are more of a rule-of-thumb nature.

This book provides numerical solutions to a series of general multicomponent rate models for liquid chromatography. The models consider dispersion, interfacial film mass transfer, intraparticle diffusion, and nonlinear multicomponent isotherm, or the second order kinetics. The models can be used to simulate various chromatographic operations. They provide more realistic descriptions of preparative- and large-scale liquid chromatography than the equilibrium theory and plate models because various mass transfer mechanisms are included.

The applications of the Fortran 77 codes for the models are explained. Parameter estimation for the models is discussed. The codes should be helpful in both the understanding of the dynamics of liquid chromatography and its scale-up. The codes are available to readers upon request by a letter, or preferably an electronic mail.

August 1994
Tingyue Gu

On p. 14,  in Eq. (3-24), [AKBi] should be [AKBi][cbi].
On p. 27, in the middle, "However, for the column inlet" should be "However, for the column exit"
On p. 30, in Figure 3.9,  tau=1, 2, 3, 4, 5, 6, 7, 8 should be 0.5, 1, 2, 3, 4, 5, 6, 7.

On p. 33, in Table 4.1, the two 10's for eta should both be 5. Delete 4 and 10 for Figure 4.8. Bed voidage and particle porosity should both be 0.45, not 0.4 for all cases. 
On p. 37, in Fig. 4.7, 5.4 should be 5.04.

On p. 83, in Table 8.1 Cinf column, 0.3 should be 3. C0i/C01=1 for single-component systems.

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