Skip to main content
Log in

Quasistationary Sedimentation with Adsorption

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

Models for the sedimentation of particles suspended in solution are proposed that take into account mass transfer between the liquid fraction of the solution and the particles. The structure and velocity of the concentration wave describing the upward extension of the zone with a high concentration of the solid phase are studied using a kinematic model with the Froude number as a small parameter. It is established that the concentration-wave velocity becomes lower if the sorption parameter is set equal to zero, i. e., if the sorption properties of the suspended particles are ignored.

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. E. D. Shchukin, A. V. Pertsov, and E. A. Amelina, Colloidal Chemistry [in Russian], Vysshaya Shkola, Moscow (1992).

    Google Scholar 

  2. G. F. Kynch, “A theory of sedimentation,” Trans. Faraday Soc., 48, 166–176 (1952).

    Article  CAS  Google Scholar 

  3. M. Bustos, F. Concha, R. Burger, and E. Tory, “Sedimentation and thickening. Phenomenological foundation and mathematical theory,” in: Mathematical Modeling: Theory and Applications, Kluwer Acad. Publ., Dordrecht (1999).

    Google Scholar 

  4. R. I. Nigmatulin, Dynamics of Multiphase Media, Part 2, Hemisphere, New York (1991).

  5. A. A. Barmin and V. I. Gargash, “On the filtration of a solution in a porous bed taking into account impurity adsorption by the skeleton,” Izv. Ross. Akad. Nauk, Mekh Zhidk. Gaza, No. 4, 97–110 (1994).

  6. V. M. Entov and A. F. Zazovskii, Hydrodynamics of Enhanced Oil Recovery Processes [in Russian], Nedra, Moscow (1989).

    Google Scholar 

  7. G. Witham, Linear and Nonlinear Waves, Wiley, New York (1974).

    Google Scholar 

  8. E. Godlevski and P. A. Raviart, Hyperbolic Systems of Conservation Laws. Mathematiques and Applications, SMAI-Ellipses, Paris (1991).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 4, pp. 66–77, July–August, 2005.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shelukhin, V.V. Quasistationary Sedimentation with Adsorption. J Appl Mech Tech Phys 46, 513–522 (2005). https://doi.org/10.1007/s10808-005-0103-8

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10808-005-0103-8

Key words

Navigation