Skip to main content
Log in

Application of a Self‐Consistent Nonlocal‐Hydrodynamic Approach to Description of the Dynamic Processes of Heat Transfer in Structurized Media

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

Abstract

The process of high‐speed energy transfer in media with allowance for the effects of the internal structure is considered in the context of nonequilibrium statistical mechanics and the theory of nonlinear operator systems. The self‐consistent nonlocal‐hydrodynamic approach proposed enables one to introduce multiple scales and multiple stages of the processes of exchange of momentum and energy into the continuous description of a medium. Large‐scale fluctuations transferring heat in a wave manner are generated in the medium at the initial stage of rapid heating. The measurable characteristic of these fluctuations, i.e., the dispersion of mass velocity, has been introduced into the nonequilibrium equations of state of the medium. The mechanism of regular heat conduction is established in the medium at the final stage of the process, and a synergetic formation of new structures occurs in the interval.

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. G. Ravichandran, A. J. Rosakis, J. Hodovany, and P. Rosakis, in: M. D. Furnish, N. N. Thadhani, and Y. Horie (eds.), Proc. Int. Conf. "Shock Compression of Condensed Matter"-CP620, Atlanta, USA, 2001. Amer. Inst. Phys. 0-7354-0068-7/02 (2002), pp. 557-562.

  2. Yu. I. Mescheryakov and A. K. Divakov, DYMAT J., 1, 271-287 (1994).

    Google Scholar 

  3. T. A. Khantuleva and Yu. I. Mescheryakov, Fiz. Mezomekh., 2, No. 5, 5-17 (1999).

    Google Scholar 

  4. T. A. Khantuleva and Yu. I. Mescheryakov, Int. J. Solids Struct., 36, 3105-3129 (1999).

    Google Scholar 

  5. B. V. Filippov and T. A. Khantuleva, in: Proc. 15th Session of Int. School on Models of Continuum Mechanics[in Russian], 1-10 July 2000, St. Petersburg (2000), pp. 79-90.

  6. T. A. Khantuleva, in: Y. Horie, L. Daison, and N. N. Thadhani (eds.), High-Pressure Compression of Solids VI: Old Paradigms and New Challenges, Ch. 6, Springer, Berlin (2002), pp. 215-254.

    Google Scholar 

  7. T. A. Khantuleva, Mat. Modelir., 11, No. 6, 17-24 (1999).

    Google Scholar 

  8. D. N. Zubarev, Modern Methods of Statistical Theory of Irreversible Processes. Advances in Science and Technology. Ser. Modern Problems of Mathematics[in Russian], Vol. 15, Moscow (1980), pp. 152-376.

    Google Scholar 

  9. B. V. Filippov and T. A. Khantuleva, Boundary Problems of Nonlocal Hydrodynamics[in Russian], Leningrad (1984).

  10. A. A. Fursenko, T. A. Khantuleva, Yu. N. Makarov, and M. S. Ramm, Mathematical Simulation of Transport Processes of Species in Gas Phase in Modern Sputter-Deposition Technologies of Thin Films. 1. Formulation of the Problem, Preprint No. 1595 of the A. F. Ioffe Phys. Tech. Inst., St. Petersburg (1992).

  11. T. A. Khantuleva and Yu. I. Mescheryakov, Izv. Vyssh. Uchebn. Zaved., Fizika, Pt. 1, No. 4, 62-73 (2000).

  12. T. A. Khantuleva and Yu. I. Mescheryakov, Izv. Vyssh. Uchebn. Zaved., Fizika, Pt. 2, No. 9, 66-75 (2000).

  13. T. A. Khantuleva, J. Mater. Phys. Mech., No. 2, 51-62 (2000).

    Google Scholar 

  14. V. Ya. Rudyak, Statistical Theory of Dissipation Processes in Gases and Liquids[in Russian], Novosibirsk (1987).

  15. S. A. Vavilov and S. V. Yuhnevich, Nonlinear Vibration Problems, No. 25, 276-280 (1993).

  16. S. A. Vavilov, Dokl. Ross. Akad. Nauk, 316, No. 1, 22-26 (1991).

    Google Scholar 

  17. T. A. Khantuleva, in: M. D. Furnish, N. N. Thadhani, and Y. Horie (eds.), Proc. Int. Conf. "Shock Compression of Condensed Matter"-CP620, Atlanta, USA, 2001. Amer. Inst. Phys. 0-7354-0068-7/02 (2002), pp. 263–266.

  18. T. A. Khantuleva, Izv. Vyssh. Uchebn. Zaved., Fizika, No. 5, 71-76 (2001).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khantuleva, T.A. Application of a Self‐Consistent Nonlocal‐Hydrodynamic Approach to Description of the Dynamic Processes of Heat Transfer in Structurized Media. Journal of Engineering Physics and Thermophysics 76, 1188–1195 (2003). https://doi.org/10.1023/B:JOEP.0000003239.95088.66

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:JOEP.0000003239.95088.66

Keywords

Navigation