Skip to main content
Log in

The limiting-stage method in the dynamics of sorption processes. I. Regions of influence of internal and longitudinal diffusion in the case of dynamics limited by external diffusion kinetics

  • Physical Chemistry
  • Published:
Bulletin of the Academy of Sciences of the USSR, Division of chemical science Aims and scope

Conclusions

  1. 1.

    The comparison of the characteristic times of the kinetic stages has led to the determination of the limiting stage of a sorption process.

  2. 2.

    In the case of dynamics limited by external diffusion, the limits of influence of longitudinal and internal diffusion have been established. The widths of these zones as functions of the sorption parameters have been determined.

  3. 3.

    Approximate solutions have been obtained for the zones of influence of the nonlimiting stages by using the small-parameter approach.

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

Literature cited

  1. E. V. Venitsianov, R. R. Rubinshtein, and M. M. Senyavin, Dokl. Akad. Nauk SSSR,195, 658 (1970).

    Google Scholar 

  2. E. V. Venitsianov, V. A. Nikashina, R. N. Rubinshtein, and M. M. Senyavin, in: Physicochemical Methods for the Purification of Waste Waters [in Russian], Izd. Mosk. Doma Nauchno-Tekhnich. Propagandi im. F. E. Dzerzhinskogo (1975), p. 159.

  3. L. I. Sedov, Application of Similarity and Dimensionality Methods in Mechanics [in Russian], Nauka (1965).

  4. M. M. Senyavin, R. N. Rubinshtein, E. V. Venitsianov, N. K. Galkina, I. V. Komarova, and V. A. Nikashina, Foundations of the Calculation and Optimization of Ion-Exchange Processes [in Russian], Nauka (1972).

  5. T. E. W. Schumann, J. Franklin Inst.,208, No. 3, 405 (1929).

    Google Scholar 

  6. I. A. Myasnikov and K. A. Gol'bert, Zh. Fiz. Khim.,26, 1311 (1953).

    Google Scholar 

  7. A. Wicke, Colloid Z.,86, 167 (1939).

    Google Scholar 

  8. H. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, Oxford Univ. Press (1959).

  9. P. P. Zolotarev, Izv. Akad. Nauk SSSR, Ser. Khim., 2045 (1969).

  10. H. Schlichting, Boundary Layer Theory, McGraw-Hill (1960).

  11. E. V. Venitsianov, E. M. Makhalov, and R. N. Rubinshtein, Zh. Fiz. Khim.,47, 665 (1973).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 8, pp. 1709–1713, August, 1980.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Venitsianov, E.V. The limiting-stage method in the dynamics of sorption processes. I. Regions of influence of internal and longitudinal diffusion in the case of dynamics limited by external diffusion kinetics. Russ Chem Bull 29, 1191–1195 (1980). https://doi.org/10.1007/BF00950553

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00950553

Keywords

Navigation