Possibility of substituting unsteady conditions of the heat supply based on localization theory

Authors

DOI:

https://doi.org/10.15587/1729-4061.2014.26259

Keywords:

mathematical modeling, unsteady heat supply, phenomenon of localization, principle of substitution

Abstract

The results of the mathematical modeling of the nonlinear, unsteady heat transfer process in a heterogeneously layered system with discontinuous pulse heating were given. On the basis of one of the localization theory principles, i.e., the principle of substituting the single-valuedness conditions, the possibilities of substituting unsteady conditions of the heat supply by their stationary counterparts were studied. The cases when the heat supply was performed either to the outer surface of the plate or by setting the internal energy sources, specially distributed through the plate thickness, were considered. It was shown that due to the presence of localization effects replacing the time dependence of the heat by more simple relations under certain conditions, specified in the paper, had insignificant effect on the temperature mode of the system outside the respective localization zones. It was also noted that the proposed substitution of the single-valuedness conditions allowed simplifying the mathematical model of the process and finding the solution.

Author Biography

Виктор Григорьевич Прокопов, Institute of Engineering Thermophysics

Doctor of Technical Science

References

  1. Wang, S. J., Mujumdar, A. S. (2005). A comparative study of five low Reynolds number k–ε models for impingement heat transfer. Applied Thermal Engineering, 25 (1), 31–44. doi:10.1016/j.applthermaleng.2004.06.001
  2. Sagaut, P. Deck, S., Terracol, M. (2006). Multiscale and multisolution approached in turbulence. London, Imperial College Press, 356.
  3. Zhou, L., Li, L., Li, R., Zhang, J. (2002). Simulation of 3-D gas-particle flows and coal combustion in a tangentially fired furnace using a two-fluid-trajectory model. Powder Technology, 125 (2-3), 226–233. doi:10.1016/s0032-5910(01)00510-1
  4. Xia, H., Qin, N. (2005). Detached-eddy simulation for synthetic jets with moving boundaries. Mod. Phys. Lett. B, 19 (28-29), 1429–1434. doi:10.1142/s0217984905009584
  5. Prokopov, V. G., Fialko, N. M., Sherenkovsky, Y. V. (2003). Fundamentals of the localization theory. Kiev, ITTF NAS of Ukraine, 200.
  6. Saint-Venant, B. (1855). Memoire sur la torsion des prismes, etc. Mem. des Savants Entrangers, 14, 233–560.
  7. Rykalin, N. N. (1947). Heat basics of welding. P.1. Moscow, Publishing House of the USSR Academy of Sciences, 271.
  8. Veinik, A. I. (1950). The theory of approximate similarity in the phenomena of thermal conductivity. J. techn. physics, 20 (3), 295–307.
  9. Makhnenko, V. I., Kravtsov, T. G. (1976). Thermal processes in mechanized surfacing type of circular cylinders. Kiev, Nauk. Dumka, 156.
  10. Fialko, N. M., Prokopov, V. G. (2000). Thermophysics of energy-saving technologies for energy. Kiev, ITTF NAS of Ukraine, 214.
  11. Fialko, N. M., Prokopov, V. G. (2002). Mathematical modeling of energy-efficient technologies for energy. Kiev, ITTF NAS of Ukraine, 229.
  12. Shpak, A. P., Fialko, N. M., Prokopov, V. G., Meranova, N. O., Sherenkovsky, Y. V., Korzhik, V. N. (2005). Thermophysics formation of amorphous and nanocrystalline thermal coatings. Mathematical models. Kiev, Academperiodika, 120.

Downloads

Published

2014-08-13

How to Cite

Прокопов, В. Г. (2014). Possibility of substituting unsteady conditions of the heat supply based on localization theory. Eastern-European Journal of Enterprise Technologies, 4(5(70), 29–33. https://doi.org/10.15587/1729-4061.2014.26259

Issue

Vol. 4 No. 5(70) (2014): Applied physics. Materials Science

Section

Applied physics

License

Copyright (c) 2014 Виктор Григорьевич Прокопов

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.

A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.