Advertisement

Korean Journal of Chemical Engineering

, Volume 13, Issue 2, pp 181–186 | Cite as

Development of a mathematical analysis method for the multicomponent separation by displacement development

  • Kisay Lee
Article

Abstract

A simple mathematical method for the analysis of multicomponent displacement development was developed. Calculations in this method utilizes the information residing in the isotactic condition which is established after the full development of solute propagation occurring in the Chromatographie separation operated by the mode of displacement development. Transient shock wave velocities and concentration changes are determined based upon the equilibrium theory of chromatography and the basic rules required in constructing the (t,z)-diagram of solute propagation along the column. Calculations involve solving simple algebraic equations to predict the transient behaviors of propagating solutes inside the column, the elution profiles of final products, and the minimum column length required for the complete separation.

Key words

Chromatography Displacement Development Isotactic Condition Shock Wave Solute Propagation 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aris, R. and Amundson, N. R.,“Mathematical Methods in Chemical Engineering, Vol. 2, First-Order Partial Differential Equations with Applications”, Prentice-Hall, Englewood Cliffs, NJ, 1973.Google Scholar
  2. Claesson, S.,“Theory of Frontal Analysis and Displacement Development”,Discuss. Faraday Soc,7, 34(1949).CrossRefGoogle Scholar
  3. DeVault, D.,“The Theory of Chromatography”,J. Am. Chem. Soc,65, 532(1943).CrossRefGoogle Scholar
  4. Helfferich, F. and James, D. B.,“An Equilibrium Theory for Rare-earth Separation by Displacement Development”,J. Chromatogr.,46. 1(1970).CrossRefGoogle Scholar
  5. Helfferich, F. and Klein, G.,“Multicomponent Chromatography: Theory of Interference”, Marcel Dekker, New York, NY, pp. 52–105, 1970.Google Scholar
  6. Hong, J.,“Optimal Operation Conditions for Displacement Chromatography”, Paper Presented at AIChE Annual Meeting, Washington D.C., November, 1988.Google Scholar
  7. Rhee, H. K., Aris, R. and Amundson, N. A.,“First-Order Partial Differential Equations, Vol. 2, Theory and Applications of Hyperbolic Systems of Quasilinear Equations”, Prentice-Hall, Englewood Cliffs, NJ, pp. 338–359, 1986.Google Scholar
  8. Rhee, H. K., Aris, R. and Amundson, N. R.,“On the Theory of Multicomponent Chromatography”,Phil. Trans. Roy. Soc. London,A267, 419(1970).CrossRefGoogle Scholar
  9. Rhee, H. K. and Amundson, N. R.,“Analysis of Multicomponent Separation by Displacement Development”,AIChE J.,28, 423 (1982).CrossRefGoogle Scholar
  10. Tiselius, A.,“Displacement Development in Adsorption Analysis”,Arkiv for Kemi, Mineral. Geol.,16A, No. 18, 1 (1943).Google Scholar
  11. Wankat, P. C.,“Rate-Controlled Separations”, Elsevier Science Publ., New York, NY, pp. 239–251, 1990.Google Scholar

Copyright information

© Korean Institute of Chemical Engineering 1996

Authors and Affiliations

  • Kisay Lee
    • 1
  1. 1.Department of Chemical EngineeringMyong-Ji UniversityYongin, Kyongki-doKorea

Personalised recommendations