Skip to main content
Log in

Variational formulation of the hydrodynamics of a concentrated gas-solid system at high archimedes numbers

  • Published:
Journal of engineering physics Aims and scope

Abstract

The local Glandsdorff-Prigogine potential is formulated for an isothermal fluidized bed. It is shown that this variational formulation makes it possible to describe the hydrodynamics of a fluidized bed on the basis of a numerical solution of the problem of minimizing the resulting local potential for the case of a two-dimensional bed.

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. R.I. Nigmatulin, PMM,34, No. 6 (1970).

  2. J. D. Murray, J. Fluid Mech.,21, Part 3 (1965).

  3. R. S. Schechter, The Variational Method in Engineering, McGraw-Hill, New York (1971).

    Google Scholar 

  4. P. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure, Stability, and Fluctuations, Wiley-Interscience, New York (1971).

    Google Scholar 

  5. S. G. Mikhlin, Numerical Methods for the Variational Approach [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  6. S. S. Zabrodskii, Hydrodynamics and Heat Transfer in a Fluidized Bed [in Russian], Gosénergoizdat (1963).

  7. M. É. Aérov and O. M. Todes, Basic Hydraulics and Thermodynamics of Systems with a SteadyState Boiling Particle Bed [in Russian], Khimiya (1968).

  8. A. V. Fiacco and G. P. McCormick, Nonlinear Programming, Wiley, New York (1972).

    Google Scholar 

  9. A. I. Tamarin, D. M. Galershnein, S. S. Zabrodskii, R. R. Khasanov, and V. P. Borisenko, Inzh.-Fiz. Zh.,23, No. 4 (1972).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 27, No. 2, pp. 223–230, August, 1974.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tamarin, A.I., Teplitskii, Y.S. Variational formulation of the hydrodynamics of a concentrated gas-solid system at high archimedes numbers. Journal of Engineering Physics 27, 933–938 (1974). https://doi.org/10.1007/BF00861597

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00861597

Keywords

Navigation