Skip to main content
SpringerLink
Log in

Simulation of Hydrodynamics and Heat Transfer of a Granulated Medium in a Circular Bunker

  • TRANSFER PROCESSES IN RHEOLOGICAL MEDIA
  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Numerical simulation of the hydrodynamics and heat transfer of a dense layer of a highly loose high-concentration granulated medium in a circular bunker on the basis of a non-Newtonian medium with application of the ″power-law liquid″ model and boundary slipping conditions on solid walls is presented. The influence of regime and geometric parameters on the dynamics and heat transfer of a high-concentration granulated medium is investigated. The validity of the results obtained is confirmed by comparison of the numerical results with well-known experimental and analytical data. The results of the investigation carried out can be used in powder technology apparatuses in the processes of drying, mixing, homogenization, batching, and transportation of granulated materials.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. R. Roslyak, Yu. A. Biryukov, and V. N. Pachin, Pneumatic Methods and Apparatuses of Powder Technology [in Russian], Izd. TGU, Tomsk (1990).

  2. V. V. Sokolovskii, Statics of a Loose Medium [in Russian], Fizmatgiz, Moscow (1960).

  3. I. V. Shirko, Mechanics of Granulated Media. Theory of Quick Motions [in Russian], Mir, Moscow (1985).

  4. A. V. Shvab, M. S. Martsenko, and Yu. N. Ryzhikh, Modeling the hydrodynamics and the process of averaging a highly concentrated granulated medium in powder technology apparatuses, J. Eng. Phys. Thermophys., 84, No. 4, 730–735 (2011).

    Article  Google Scholar 

  5. Yu. V. Golovanov and I. V. Shirko, Review of the state-of-the art of the mechanics of quick motions of granulated materials, in: Mechanics of Granulated Media: Theory of Quick Motions, Ser. ″Novel in the Foreign Science,″ Issue 36, 271–279 (1985).

  6. Z. P. Shul′man, Convective Heat and Mass Transfer of Rheologically Complex Fluids [in Russian], Énergiya, Moscow (1975).

  7. K. Hutter and T. Scheiwiller, Rapid plane flow of granular materials down a chute, in: Mechanics of Granular Materials, Elsevier Science Publishers, Amsterdam (1983), pp. 283−293.

  8. J. T. Jenkins and S. B. Savage, A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles, J. Fluid Mech., 130, 187−202 (1983).

  9. A. J. Chorin, Numerical solution of Navier–Stokes equation, Math. Comput., 22, 745–762 (1968).

    Article  MathSciNet  Google Scholar 

  10. R. Peire and G. D. Taylor, Computational Methods in Problems of Fuel Mechanics [Russian translation], Gidrometeoizdat, Leningrad (1986).

  11. S. Patankar, Numerical Methods for Solving Problems of Heat Transfer and Fluid Dynamics [Russian translation], Énergoatomizdat, Moscow (1984).

  12. S. Savage, Gravity flow of cohesionless granular materials in chutes and channels, J. Fluid Mech., 92, Part 1, 53–96 (1979).

  13. A. V. Shavab and A. A. Martsenko, Dynamics of a dense layer of a granulated medium in a pneumatic circulation apparatus, Vest. Tomsk. Univ. Mat. Mekh., 42, No. 4, 115−122 (2016).

    Google Scholar 

  14. R. B. Bird, W. E. Stewart, and E. N. Lightfood, Transport Phenomena [Russian translation], Khimiya, Moscow (1974).

  15. Z. P. Gorbis, Heat Transfer and Hydrodynamics of Disperse Straight-Through Flows [in Russian], Énergiya, Moscow (1970).

Download references

Author information

Authors and Affiliations

  1. National Research Tomsk State University, 36 Lenin Ave., Tomsk, 634050, Russia

    A. V. Shvab & E. A. D′yakov

Authors
  1. A. V. Shvab
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. A. D′yakov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. A. D′yakov.

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 92, No. 5, pp. 2370–2377, September–October, 2019.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shvab, A.V., D′yakov, E.A. Simulation of Hydrodynamics and Heat Transfer of a Granulated Medium in a Circular Bunker. J Eng Phys Thermophy 92, 1330–1337 (2019). https://doi.org/10.1007/s10891-019-02048-9

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10891-019-02048-9

Keywords

Search

Navigation