Skip to main content
Log in

Statement of boundary and conjugation conditions for problems of heat transfer in granular beds on the basis of a two-temperature model

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

Physically justified boundary and conjugation conditions for problems of heat transfer in infiltrated granular beds have been formulated within the framework of the two-temperature model that takes into account the absence of interphase interaction at the boundaries. It is shown that the classical Danckwerts conditions are applicable to a gas. The problem of filtration cooling of a heat-generating granular bed over which there is an inert bed (pile-up) has been solved in a new statement. The dependence of the pressure drop in a granular bed on the mass flow rate of the gas is established. A formula to calculate the maximum temperature of particles is obtained. The region of applicability of the one-temperature model is determined.

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. M. É. Aérov and O. M. Todes, Hydraulic and Thermal Principles of Operation of Steady-State and Fluidized Granular Bed Apparatuses [in Russian], Khimiya, Leningrad (1968).

    Google Scholar 

  2. Yu. Sh. Matros, V. I. Lugovskoi, B. L. Ogarkov, and V. B. Nakrokhin, Heat-transfer in a blown-through fixed granular bed, Teor. Osn. Khim. Tekhnol., 12, No. 2, 291–294 (1978).

    Google Scholar 

  3. E. M. Sparrow and R. D. Cess, Radiation Heat Transfer [Russian translation], Énergiya, Moscow (1971).

    Google Scholar 

  4. V. I. Kovenskii, Toward calculation of the radiative characteristics of a concentrated disperse medium, in: Investigation of Heat and Mass Transfer in Apparatuses with Disperse Systems [in Russian], ITMO AN BSSR, Minsk (1991), pp. 10–15.

    Google Scholar 

  5. N. I. Gel’perin, V. G. Ainshtein, and V. B. Kvasha, Principles of Fluidization Techniques [in Russian], Khimiya, Moscow (1967).

    Google Scholar 

  6. N. B. Vargaftik, Handbook of Thermophysical Properties of Gases and Liquids [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  7. V. A. Levin and N. A. Lutsenko, Filtration cooling of a porous fuel element, in: Heat and Mass Transfer-MIF-2004 [in Russian], Vol. 2, May 24–28, 2004, Minsk (2004), pp. 219–220.

    Google Scholar 

  8. V. P. Maslov, V. P. Myasnikov, and V. G. Danilov, Mathematical Modeling of the Emergency Block of the Chernobyl Nuclear Power Station [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  9. Yu. V. Polezhaev and E. M. Seliverstov, A universal model of heat transfer in penetrating-cooling systems, Teplofiz. Vys. Temp., 40, No. 6, 922–930 (2002).

    Google Scholar 

  10. V. P. Kolos and V. N. Sorokin, Conjugation conditions at the interface of porous media, Dokl. Akad. Nauk BSSR, 28, No. 8, 713–715 (1984).

    MATH  Google Scholar 

  11. V. A. Borodulya and Yu. P. Gupalo, Mathematical Models of Chemical Fluidized-Bed Reactors [in Russian], Nauka i Tekhnika, Minsk (1976).

    Google Scholar 

  12. V. A. Borodulya, Yu. S. Teplitskii, A. P. Sorokin et al., External heat transfer in polydispersed fluidized beds at elevated temperatures, Inzh.-Fiz. Zh., 56, No. 5, 767–773 (1989).

    Google Scholar 

  13. V. P. Isachenko, V. A. Osipova, and A. S. Sukomel, Heat Transfer [in Russian], Énergoizdat, Moscow (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 79, No. 6, pp. 98–106, November–December, 2006.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Teplitskii, Y.S., Kovenskii, V.I. Statement of boundary and conjugation conditions for problems of heat transfer in granular beds on the basis of a two-temperature model. J Eng Phys Thermophys 79, 1147–1156 (2006). https://doi.org/10.1007/s10891-006-0217-8

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10891-006-0217-8

Keywords

Navigation