Skip to main content
Log in

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

  • Published:
Korean Journal of Chemical Engineering Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • 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 

  • Claesson, S.,“Theory of Frontal Analysis and Displacement Development”,Discuss. Faraday Soc,7, 34(1949).

    Article  Google Scholar 

  • DeVault, D.,“The Theory of Chromatography”,J. Am. Chem. Soc,65, 532(1943).

    Article  CAS  Google Scholar 

  • Helfferich, F. and James, D. B.,“An Equilibrium Theory for Rare-earth Separation by Displacement Development”,J. Chromatogr.,46. 1(1970).

    Article  CAS  Google Scholar 

  • Helfferich, F. and Klein, G.,“Multicomponent Chromatography: Theory of Interference”, Marcel Dekker, New York, NY, pp. 52–105, 1970.

    Google Scholar 

  • Hong, J.,“Optimal Operation Conditions for Displacement Chromatography”, Paper Presented at AIChE Annual Meeting, Washington D.C., November, 1988.

  • 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 

  • Rhee, H. K., Aris, R. and Amundson, N. R.,“On the Theory of Multicomponent Chromatography”,Phil. Trans. Roy. Soc. London,A267, 419(1970).

    Article  Google Scholar 

  • Rhee, H. K. and Amundson, N. R.,“Analysis of Multicomponent Separation by Displacement Development”,AIChE J.,28, 423 (1982).

    Article  CAS  Google Scholar 

  • Tiselius, A.,“Displacement Development in Adsorption Analysis”,Arkiv for Kemi, Mineral. Geol.,16A, No. 18, 1 (1943).

    Google Scholar 

  • Wankat, P. C.,“Rate-Controlled Separations”, Elsevier Science Publ., New York, NY, pp. 239–251, 1990.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lee, K. Development of a mathematical analysis method for the multicomponent separation by displacement development. Korean J. Chem. Eng. 13, 181–186 (1996). https://doi.org/10.1007/BF02705906

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02705906

Key words

Navigation