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Journal of Mathematical Sciences

, Volume 238, Issue 2, pp 154–164 | Cite as

R-Functions Method in the Mathematical Modeling of Convective Heat Exchange in an Octahedral Fuel Assembly with 37 Fuel Elements

  • R. А. Kolyada
  • K. V. Maksimenko-Sheiko
  • Т. I. Sheiko
Article
  • 4 Downloads

We consider conjugate boundary-value problems of heat exchange for the cases where a viscous incompressible liquid moves through channels with noncanonical cross section flowing around a bundle of rods. The influence of the type of packing on the velocity and temperature distributions is investigated. For the solution, we use the R-functions method in combination with the Ritz variational method. We consider the cases of cyclic, staggered, and rectangular packing of fuel elements.

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References

  1. 1.
    K. V. Maksimenko-Sheiko, R-Functions in Mathematical Modeling of the Geometric Objects and Physical Fields [in Russian], Podgornyi Institute for Problems in Mechanical Engineering, Ukrainian National Academy of Sciences, Kharkov (2009).Google Scholar
  2. 2.
    K. V. Maksimenko-Sheiko, A. V. Tolok, and T. I. Sheiko, “Conjugate problem of convective heat exchange in an assembly of fuel elements,” Inform. Tekhnol., No. 11, 32–36 (2013).Google Scholar
  3. 3.
    B. S. Petukhov, L. G. Genin, and S. A. Kovalev, Heat Exchange in Nuclear Power Plants [in Russian], Atomizdat, Moscow (1974).Google Scholar
  4. 4.
    V. L. Rvachev, Theory of R-Functions and Some of Its Applications [in Russian], Naukova Dumka, Kiev (1982).zbMATHGoogle Scholar
  5. 5.
    K. V. Maksimenko-Sheyko, R. A. Uvarov, and T. I. Sheyko, “The R-functions method in mathematical modeling of convective heat transfer in fuel cartridge with fuel rods,” Probl. Atom. Sci. Technol., Ser.: Nucl. Phys. Invest., 85, No. 3, 205–209 (2013).Google Scholar

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • R. А. Kolyada
    • 1
    • 2
  • K. V. Maksimenko-Sheiko
    • 1
    • 2
  • Т. I. Sheiko
    • 1
    • 2
  1. 1.Podgornyi Institute for Problems in Mechanical EngineeringUkrainian National Academy of SciencesKharkivUkraine
  2. 2.Karazin Kharkiv National UniversityKharkivUkraine

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