Abstract
A study has been carried out on the build-up and characterization of nuclear burn-up wave in fast neutron multiplying media. The focus of the study is more on the transient part of the burn-up wave though the steady state is also studied. The characteristics of the transient part are expressed in terms of new parameters, i.e., Transient Length (TL) and Transient Time (TT) elapsed in establishing the asymptotic burn-up wave. The TT and TL are defined, respectively, as the time and length needed to establish 95% and 99% of the asymptotic neutron flux propagating in the media. From these parameters, the transient wave velocity is determined. The characteristics of asymptotic part of the wave are determined in terms of wave velocity, Full Width at Half Maximum (FWHM) and Full Width at 10% Maximum (FW10M) of neutron flux distribution in the space. A parametric study is also carried out to investigate the sensitivity of these parameters to some of the physical parameters of the ignition zone and the breeder zone of the reactor. The characterization parameters would be very meaningful to understand the transient characteristics of the self-sustaining nuclear burn-up wave and in evaluating the quality of the wave by the researchers working in the field of nuclear burn-up wave build-up and propagation.
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Feinberg S 1958 Discussion content. In: Proceedings of the International Conference on the Peaceful Uses for Atomic Energy, United Nations, Geneva, vol. 9(2), p. 447
Feoktistov L P 1989 Neutron-induced fission wave. Sov. Phys. Dokl. 34: 1071
Teller E, Ishikawa M and Wood M 1996 Complete automated nuclear reactors for long term operation. In: Proceedings of ICENES `96, Obninsk, Russia, June 24–28
Sekimoto H, Ryu K and Yoshimura Y 2001 CANDLE: the new burnup strategy. Nucl. Sci. Eng. 139(3): 306–317
Sekimoto H and Tanaka K 2002 CANDLE Burnup for different cores. In: Proceedings of PHYSOR 2002, Seoul, South Korea, October 7–10
Pilipenko V, Belozorov D, Davydov L and Shulga N 2003 Some aspects of slow nuclear burning. In: Proceedings of ICAPP_03-3169, Cordoba, Spain, May 4–7
Fomin S, Mel’nik Y, Pilipenko V and Shul’ga N 2005 Investigation of self-organization of the non-linear nuclear burning regime in fast neutron reactors. Ann. Nucl. Energy 32: 1435–1456
Feoktistov L P 1993 Safety: the key to revitalization of nuclear power. Physics-Uspekhi 36: 733
Goldin V Y and Anistratov D Y 1995 Fast neutron reactor in a self-adjusting neutron–nuclide regime. Math. Model. 7: 12–32
Seifritz W 1998 The thermal neutronic soliton wave phenomenon in an infinite medium. Kerntechnik 63: 261–266
Van Dam H 2000 Burnup waves. Ann. Nucl. Energy 25(17): 1409–1417
Van Dam H 2000 Self-stabilizing criticality waves. Ann. Nucl. Energy 27: 1505–1521
Fomin S P, Mel’nik Y, Pilipenko V and Shul’ga N 2008 Initiation and propagation of nuclear burning wave in a fast reactor. Prog. Nucl. Energy 50: 163–169
Fomin S P, Fomin O S, Mel’nik Y, Pilipenko V and Shul’ga N 2011 Nuclear burning wave in fast reactor with mixed Th–U fuel. Prog. Nucl. Energy 53: 800–805
Chen X N, Kiefhaber E and Maschek W 2005 Neutronic model and its solitary wave solutions for a CANDLE Reactor. In: Proceedings of the 12 th International Conference on Emerging Nuclear Energy Systems (ICENES’2005), Brussels, Belgium, August 21–26
Chen X N, Maschek W, Rineiski A and Kiefhaber E 2005 Solitary burn-up wave solution in a multi-group diffusion-burnup coupled system. In: Proceedings of ICENES’2007 Istanbul
Ohoka Y, Watanabe T and Sekimoto H 2005 Simulation study on CANDLE burnup applied to block-type high temperature gas cooled reactor. Prog. Nucl. Energy 47(1–4): 292–299
Takaki N and Sekimoto H 2008 Potential of CANDLE reactor on sustainable development and strengthened proliferation resistance. Prog. Nucl. Energy 50(1–4): 114–118
Rusov V D, Linnik E P, Tarsov V A, Zelentsova T N, Sharph I V, Vaschenko V N, Kosenko S I, Beglaryan M E, Chernezhenko S A, Molchinikolov P A, Saulenko S I and Byegunova O 2011 Travelling wave reactor and condition of existence of nuclear burning soliton-like wave in neutron multiplying media. Energies 4: 1337–1361
Sekimot H., Takada T and Udagawa Y 2003 Startup of CANDLE burn up in an LBE cooled metallic fuel fast reactor. In: Proceedings of Global 2003 Atoms for Prosperity: Updating Eisenhower’s Global Vision for Nuclear Energy, New Orleans, Louisiana, pp. 16–20
Sekimoto H and Miyashita S 2006 Start-up of CANDLE burn up in fast reactor from enriched uranium core. Energy Convers. Manage. 47(17): 2772–2780
Weaver K D, Gilleland J, Ahlfeld C, Whitmer C and Zimmerman G 2009 A once-through fuel cycle for fast reactors. In: Proceedings of the 17 th International Conference on Nuclear Engineering (ICONE17-75381), Brussels, Belgium, July 12–16
Ellis T, Petrosik R, Hejzlar P, Zimmerman G, McAlees D, Whitmer C, Touran N, Hejzlar J, Weaver K, Walter J C, Whiner J M, Ahlfeld C, Burke T, Odedra A, Hyde R, Gilleland J, Ishikawa Y, Wood L, Myhrovld N and Gates W H 2010 Travelling wave reactors: a truly sustainable and full scale resource for global energy needs. In: Proceedings of ICAPP’10, Paper 10189, San Diego, USA, June 13–17
Ahlfed C, Burke T, Ellis T, Hejzlar P, Weaver K, Whitmer C, Gilleland J, Cohen M, Johnson B, Mazurkiewiez S, Whirter J M, Odedra A, Touran N, Davidson C, Walter J, Petroski R, Zimmerman G, Weaver T, Schweiger P and Russick R 2011 Conceptual design of a 500 MWe travelling wave demonstration reactor plant. In: Proceedings of ICAPP’11, Paper 11199, Nice, France, May 2–5
Anoop K V, Kiran B and Singh O P 2015 Build-up of burn up wave in absorbing and diffusive media. Appl. Math. Informat. Mech. 7: 47–60
Oran E S and Boris J P 1987 Numerical simulation of reactive flow. New York–Amsterdam–London: Elsevier
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Anoop, K.V., Singh, O.P. The build-up and characterization of nuclear burn-up wave in a fast neutron multiplying medium. Sādhanā 43, 11 (2018). https://doi.org/10.1007/s12046-017-0772-z
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DOI: https://doi.org/10.1007/s12046-017-0772-z