Skip to main content
Log in

Simulation of adsorption dynamics in adsorbent layers of short length. Estimation of the concentration region of validity of Zeldovich"s equality

  • Published:
Russian Chemical Bulletin Aims and scope

Abstract

The frontal adsorption dynamics with the convex adsorption isotherm at a stage of parallel transfer, was numerically simulated. The change with time in the mean adsorption values a c in the adsorbent layers of short length ΔL and corresponding concentrations c ΔL at the outlet from ΔL was calculated. Zeldovich"s equality, which suggests that the ratio of c ΔL to a c is equal to the ratio of the inlet fluid phase concentration to the amount adsorbed at equilibrium, is fulfilled at ΔL → 0 over the interval of relative concentrations from 10–4 to 1. This indicates that Zeldovich"s equality is fulfilled as local at any limiting stage of mass transfer. The nonequilibrium dynamics of adsorption always has the finite ΔL value at which the calculated c ΔL and a c values approximately coincide with the a and c values of the equilibrium adsorption isotherm.

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

  1. V. V. Rachinskii, Vvedenie v obshchuyu teoriyu dinamiki sorbtsii i khromatografii [Introduction to General Theory of Sorption Dynamics and Chromatography], Nauka, Moscow, 1964, 136 pp. (in Russian).

    Google Scholar 

  2. O. M. Todes and Ya. M. Bikson, Dokl. Akad. Nauk SSSR, 1950, 75, 727 [Dokl. Chem., 1950, 75 (Engl. Transl.)].

    Google Scholar 

  3. L. V. Radushkevich, Dokl. Akad. Nauk SSSR, 1947, 57, 471 [Dokl. Chem., 1950, 57 (Engl. Transl.)].

    Google Scholar 

  4. Yu. S. Lezin, Dokl. Akad. Nauk SSSR, 1965, 164, 147 [Dokl. Chem., 1965, 164 (Engl. Transl.)]

    Google Scholar 

  5. A. V. Larin, Izv. Akad. Nauk SSSR, Ser. Khim., 1983, 2668 [Bull. Acad. Sci. USSR, Div. Chem. Sci., 1983, 32, 2391 (Engl. Transl.)].

  6. M. M. Dubinin, K. M. Nikolaev, N. S. Polyakov, and L. G. Pirozhkov, Izv. Akad. Nauk SSSR, Ser. Khim., 1980, 1487 [Bull. Acad. Sci. USSR, Div. Chem. Sci., 1980, 31, 1034 (Engl. Transl.)].

    Google Scholar 

  7. M. M. Dubinin and L. V. Radushkevich, Dokl. Akad. Nauk SSSR, 1947, 55, 331 (Engl. Transl.)].

    Google Scholar 

  8. A. V. Larin, Izv. Akad. Nauk SSSR, Ser. Khim., 1983, 236 [Bull. Acad. Sci. USSR, Div. Chem. Sci., 1983, 32, 212 (Engl. Transl.)].

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Larin, A.V. Simulation of adsorption dynamics in adsorbent layers of short length. Estimation of the concentration region of validity of Zeldovich"s equality. Russian Chemical Bulletin 50, 1578–1581 (2001). https://doi.org/10.1023/A:1013074216068

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1013074216068

Navigation