Full Text:   <2416>

CLC number: TQ018

On-line Access: 

Received: 2001-04-16

Revision Accepted: 2001-09-04

Crosschecked: 0000-00-00

Cited: 0

Clicked: 5633

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
1. Reference List
Open peer comments

Journal of Zhejiang University SCIENCE A 2002 Vol.3 No.2 P.151-156


Mathematical model of the dynamics of countercurrent chromatography

Author(s):  LU Xiang-hong, REN Qi-long, WU Ping-dong

Affiliation(s):  National Laboratory of Secondary Resources Chemical Engineering, Zhejiang University, Hangzhou, China, 310027

Corresponding email(s):   Luxh1971@263.net

Key Words:  Countercurrent chromatography, Model simulation, Caffeine, Theophylline

Share this article to: More

LU Xiang-hong, REN Qi-long, WU Ping-dong. Mathematical model of the dynamics of countercurrent chromatography[J]. Journal of Zhejiang University Science A, 2002, 3(2): 151-156.

@article{title="Mathematical model of the dynamics of countercurrent chromatography",
author="LU Xiang-hong, REN Qi-long, WU Ping-dong",
journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T Mathematical model of the dynamics of countercurrent chromatography
%A LU Xiang-hong
%A REN Qi-long
%A WU Ping-dong
%J Journal of Zhejiang University SCIENCE A
%V 3
%N 2
%P 151-156
%@ 1869-1951
%D 2002
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2002.0151

T1 - Mathematical model of the dynamics of countercurrent chromatography
A1 - LU Xiang-hong
A1 - REN Qi-long
A1 - WU Ping-dong
J0 - Journal of Zhejiang University Science A
VL - 3
IS - 2
SP - 151
EP - 156
%@ 1869-1951
Y1 - 2002
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2002.0151

A mathematical model of the dynamic behavior of countercurrent chromatography was proposed, and the model parameters, including the partition coefficient, the axial dispersion coefficient, the intraparticle diffusion coefficient and the external mass ransfer coefficient were calculated by the method of chromatogram moment analysis. Comparison of the experimental chromatograms of caffeine and theophylline determined in this work with the simulated curves computed by the proposed model showed fairly good agreement. Further, the difference between the average identified the partition coefficients by chromatogram moment analysis and the experimental values was small also, and the relationship between the external mass transfer rate and the linear velocity was similar to that obtained with solid-liquid chromatography.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1] Abe Hitoshi, Usuda Shigekazu, Tachimori Shoichi, 1994. Characteristics of centrifugal partition chromatography for Lanthanoid separation in Hdehp extraction system. J. Liq. Chromatogr., 17(8):1821-1835.

[2] Carberry, J. J., 1958. First-order rate processes and axial dispersion in packed bed reactors. Can. J. Chem. Eng., 36:207-209.

[3] Carberry, J. J., 1976. Chemical and Catalytic Reaction Engineering, McGraw-Hill, Inc., New York, p.457-518.

[4] Houghton Gerald, 1964. The Additivity of rate and diffusion phenomena in continuous chromatography. J.Chromatogr., 15 (1):5-8.

[5] Kucera Eugene, 1965. Contribution to the theory of chromatography linear non-equilibrium elution chromatography. J.Chromatogr., 19(2):237-248.

[6] Lapidus, L., Amundson N.R., 1952. Mathematics of adsorption in Beds.VI. The effect of longitudinal diffusion in ion exchange and chromatographic column. J.Phys.Chem., 56:984-988.

[7] Lee Shoei-sheng, 1994. Application of centrifugal partition chromatography to the separation of Lauraceous alkaloids. J. Chromatogr. A, 667:322-326.

[8] Mandava, N. Bhushan, Ito Yoichiro, 1988. CounterCurrent Chromatography: Theory And Practice. Marcel Dekker, Inc., New York, 841p.

[9] Pukhovskaya, V. M., Maryutina T. A., Grebneva O. N., et al., 1993. Inductively coupled plasma atomic emission spectroscopic determination of rare earth elements in geological samples after preconcentration by countercurrent chromatography. Spectrochim. Acta (Part B), 48B(11):1365-1370.

[10] Schneider, P., Smith J. M., 1968a. Adsorption rate constants from chromatography. A.I.Ch.E. Journal, 14(9):762-771.

[11] Schneider, P., Smith J. M., 1968b. Chromatographic study of surface diffusion. A.I.Ch.E. Journal, 14(11):886-895.

[12] Van Deemter, J.J., Zuiderweg F.J., Klinkenberg A., 1956. Longitudinal diffusion and resistance to mass transfer as causes of nonideality in chromatography. Chem.Eng.Sci., 5:271-279

Open peer comments: Debate/Discuss/Question/Opinion


Please provide your name, email address and a comment

Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - 2024 Journal of Zhejiang University-SCIENCE