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During high-temperature gas refrigeration reactor (HTGR) operation, SiC in the fuel particles is the key structure for stopping radionuclides diffusing from the particles. Researchers put forward the concept of breakthrough time, which is the time of a large amount of radionuclides released through SiC from the particles, for the consideration of HTGR safety. However, this concept is not so accurate. This paper gives a strict expression of cumulative fractional release interims of classic and improved methods, and also analyses the relevant physical content of breakthrough time in the use of Fick’s law of diffusion. By computing the cumulative fractional release of three kinds of important radionuclides 137Cs, 90Sr and 110mAg, and using the above two methods, we find that the traditional meaning of the physical quantity is not the time of radionuclides released from SiC. The improved method is more accurate for describing the release and transport condition of radionuclides in nuclear fuel particles.
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Keywords:
- HTGR /
- nuclear fuel particles /
- radionuclide /
- cumulative fractional release
[1] Fang C, Liu M L 2012 Acta Phys. Sin. 61 097802 (in Chinese) [房超, 刘马林 2012 61 097802]
[2] Wu Z X, Zhang Z Y 2004 Advanced Nuclear Power System and High-temperature Gas-cooled Reactor (First Edition) (Beijing: Tsinghua University Press) p22 (in Chinese) [吴宗鑫, 张作义 2004 先进核能系统和高温气冷堆(第1版) (北京: 清华大学出版社)第22页]
[3] Cao Y, Cao J Z 2007 Atom. Ene. Sci. & Tec. 41 555 (in Chinese) [曹玥, 曹建主 2007 原子能科学技术 41 555]
[4] IAEA-TECDOC-978 1997 International Atomic Energy Agency p446
[5] Moormann R 2009 Kerntechnik. 74 8
[6] Crank J 1956 The mathematics of diffusion (London: Oxford University Press) p24
[7] Jost W 1960 Diffusion in solids, liquids, gases (3rd printing with addendum) (New York: Academic Press) p42
[8] Carslaw H S, Jaeger J C 1959 Conduction of heat in solids (Oxford: Clarendon Press) p246
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[1] Fang C, Liu M L 2012 Acta Phys. Sin. 61 097802 (in Chinese) [房超, 刘马林 2012 61 097802]
[2] Wu Z X, Zhang Z Y 2004 Advanced Nuclear Power System and High-temperature Gas-cooled Reactor (First Edition) (Beijing: Tsinghua University Press) p22 (in Chinese) [吴宗鑫, 张作义 2004 先进核能系统和高温气冷堆(第1版) (北京: 清华大学出版社)第22页]
[3] Cao Y, Cao J Z 2007 Atom. Ene. Sci. & Tec. 41 555 (in Chinese) [曹玥, 曹建主 2007 原子能科学技术 41 555]
[4] IAEA-TECDOC-978 1997 International Atomic Energy Agency p446
[5] Moormann R 2009 Kerntechnik. 74 8
[6] Crank J 1956 The mathematics of diffusion (London: Oxford University Press) p24
[7] Jost W 1960 Diffusion in solids, liquids, gases (3rd printing with addendum) (New York: Academic Press) p42
[8] Carslaw H S, Jaeger J C 1959 Conduction of heat in solids (Oxford: Clarendon Press) p246
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