Nuclear Burning Wave Concept and Theoretical Approaches for its Description

  • Maksym S. Malovytsia V.N. Karazin Kharkiv National University, Kharkiv, Ukraine https://orcid.org/0000-0002-8652-5806
  • Alex S. Fomin National Science Center “Kharkov Institute of Physics and Technology”, Kharkiv, Ukraine https://orcid.org/0000-0002-3631-0604
  • Sergii P. Fomin V.N. Karazin Kharkiv National University, Kharkiv, Ukraine; National Science Center “Kharkov Institute of Physics and Technology”, Kharkiv, Ukraine https://orcid.org/0000-0002-1495-0512
Keywords: nuclear power, fast reactor, breed and burn, nuclear burning wave, traveling wave reactor

Abstract

After two major nuclear power plant accidents in Chernobyl (1986) and Fukushima (2011), one of the main requirements for the nuclear power engineering is the safety of the nuclear reactors in operation, as well as new nuclear power plants of the fourth generation, which are being developed now. One of such requirements is presence of the so-called “inherent safety” mechanism, which renders the uncontrolled reactor runaway impossible under any conditions, moreover, the implementation of such a mechanism should be ensured on the level of physical principles embedded in the reactor design. Another important problem of the nuclear power engineering is the need of the transition to the large-scale use of the fast-neutron breeder reactors, with which it would be possible to set up expanded reproduction of the nuclear fuel and by that means solve the problem of supplying humanity with relatively cheap energy for thousands of years. Moreover, at present an unresolved problem is the disposal of spent nuclear fuel containing radioactive nuclides with long half-lives, which presents a long-term danger to the ecology. One of the promising conceptions of the fast-neutron breeder reactor, which can, in the case of successful implementation, partially or even entirely solve the problems of the nuclear power engineering mentioned above, is the reactor that operates in the nuclear burning wave mode, which is also known as “Traveling wave reactor”, CANDLE and by some other names. This paper presents a short review of the main theoretical approaches used for description of such a physical phenomenon as slow nuclear burning (deflagration) wave in the neutron multiplication medium initially composed of the fertile material 238U or 232Th. A comparative analysis of the possibilities of different mathematical models for describing this phenomenon is performed, both for those based on the deterministic approach (i.e. solving neutron transport equations) and for models that use Monte Carlo methods. The main merits of the fast breeder reactor, working in the nuclear burning wave mode, and problems related to the practical realization of the considered concept are discussed.

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References

S.M. Feinberg, in Record of Proceedings: Session B-10, Int. Conf. on the Peaceful Uses for Atomic Energy. (Geneva, Switzerland: United Nations, 1958), 9(2), 447.

L.P. Feoktistov, Preprint IAE-4605/4. IAE, Moscow, (1988).

L.P. Feoktistov, Dokl. Akad. Nauk SSSR, 309, 864 (1989).

V. Pilipenko, D. Belozorov, L. Davydov, N. Shul'ga, in CD: Proceedings of ICAPP 03, (Cordoba, Spain, May 4-7, 2003), Paper 3169.

E. Teller, M. Ishikawa, L. Wood, et al. In: Int. Conf. on Emerging Nuclear Energy Systems, 1 (1996).

E. Teller, Preprint UCRL-JC-129547, LLNL, Livermore, CA, USA (1997).

H. Sekimoto, K. Ryu, Y. Yoshimura, Nuclear Science and Engineering. 139, 306–317 (2001), https://doi.org/10.13182/NSE01-01.

H. Sekimoto, Light a CANDLE: New Burnup Strategy, (Tokyo Institute of Technology, Tokyo, 2005).

V.Ya. Goldin and D. Yu. Anistratov, Mathematical Modelling, 7, 12 (1995).

V.Ya. Goldin, N.V. Sosnin, Yu.V. Troshchiev, Dokl. Ros. Acad. Nauk., 358, 747-748 (1998). (in Russian).

Hugo van Dam, Annals of Nuclear Energy, 27, 1505 (2000), https://doi.org/10.1016/S0306-4549(00)00035-9.

Hugo van Dam, Annals of Nuclear Energy, 30, 1495–1504 (2003), https://doi.org/10.1016/S0306-4549(03)00098-7.

X.-N. Chen, and W. Maschek, Annals of Nuclear Energy, 32, 1377-1390 (2005). https://doi.org/10.1016/j.anucene.2005.01.012.

X.-N. Chen, E. Kiefhaber, and W. Maschek, Progress in Nuclear Energy. 50, 219-224 (2008). https://doi.org/10.1016/j.pnucene.2007.11.064.

V.M. Khotyayintsev, V.M. Pavlovych, and O.M. Khotyayintseva, In: Proceeding of Int. Conf. "Advances in Reactor Physics to Power the Nuclear Renaissance" (PHYSOR 2010), (Pittsburgh, PA, USA, 9–14 May 2010).

V.M. Khotyayintsev, A.V. Aksonov, O.M. Khotyayintseva, V.M. Pavlovych. V. Gulik, and A.H. Tkaczyk, Annals of Nuclear Energy. 85C, 337 – 345 (2015). https://doi.org/10.1016/j.anucene.2015.04.044.

S. Fomin, Yu. Mel’nik, V. Pilipenko, and N. Shul’ga, Annals of Nuclear Energy. 32, 1435 (2005).

https://doi.org/10.1016/j.anucene.2005.04.001.

S. Fomin, Yu. Mel’nik, V. Pilipenko and N. Shul’ga, In: Nuclear Science and Safety in Europe, p. 239, Springer, the Netherlands (2006), https://doi.org/10.1007/978-1-4020-4965-1_20.

S. Fomin, Yu. Mel’nik, V. Pilipenko and N. Shul’ga, Problems of Atomic Science and Technology. Series: Nuclear Physics Investigations. 3, 156 (2007), https://vant.kipt.kharkov.ua/TABFRAME_poisk_c.html

S. Fomin, Yu. Mel’nik, V. Pilipenko and N. Shul’ga, Progress in Nuclear Energy. 50, 163 (2008), https://doi.org/10.1016/j.pnucene.2007.10.020.

S.P. Fomin, A.S. Fomin, Yu.P. Mel’nik, V.V. Pilipenko, N.F. Shul’ga, In CD: Proc. of 1st Int. Conf. “Global 2009” (Paris, France, 2009), Paper 9456.

S.P. Fomin, O.S Fomin., Yu.P. Mel’nik, V.V. Pilipenko, N.F. Shul’ga, Progress in Nuclear Energy. 53, 800–805 (2011). https://doi.org/10.1016/j.pnucene.2011.05.004.

O.S. Fomin, S.P. Fomin, Yu.P. Mel’nik, V.V. Pilipenko, and N.F. Shul’ga, Journal of Kharkiv National University, physical series «Nuclei, Particles, Fields», 58(2), 49–56 (2013), https://periodicals.karazin.ua/eejp/article/view/13512.

S.P. Fomin, A.S. Fomin, Yu.P. Mel’nik, V.V. Pilipenko, N.F. Shul’ga, in: Topical Issues in Fast Reactors and Related Fuel Cycles, (Proc. Conf. FR-13, Paris, 2013), IAEA, Vienna, 2014, Contributed Paper IAEA-CN-199-457, 10 p., http://www-pub.iaea.org/MTCD/Publications/PDF/SupplementaryMaterials/P1665CD/Track3_Safety.pdf.

O.S. Fomin, S.P. Fomin, Yu.P. Mel’nik, V.V. Pilipenko, N.F. Shul’ga, in: Proc. of Int. Conf. “Global 2015” (Paris, France, 2015), Paper 5254.

L.P. Abagyan, N.O. Bazazjanc, I.I. Bondarenko, and M.N. Nikolaev, Group Constants for Calculations of Reactor and Shielding, (Energoizdat, Moscow, 1981) pp. 231. (in Russian).

I.I. Bondarenko, et al. Group Constants for Nuclear Reactor Calculations. (Consultants Bureau Inc., New York, 1964).

Yu.Y. Leleko, V.V. Gann, A.V. Gann, Problems of Atomic Science and Technology. 2 (108), 138-143 (2017).

Yu.Y. Leleko, V.V. Gann, A.V. Gann, Problems of Atomic Science and Technology. 5 (123), 18-24 (2019).

J. Gilleland, R. Petroski, and K. Weaver, Engineering, 2, 88–96 (2016), https://doi.org/10.1016/J.ENG.2016.01.024.

Published
2020-08-14
Cited
How to Cite
Malovytsia, M. S., Fomin, A. S., & Fomin, S. P. (2020). Nuclear Burning Wave Concept and Theoretical Approaches for its Description. East European Journal of Physics, (3), 62-72. https://doi.org/10.26565/2312-4334-2020-3-08