The boundary problem in the 1D-CANDLE burn-up reactor
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W. Seifritz
Abstract
We have analytically solved the boundary problem for a solitary CANDLE-Burn Up wave in a slab reactor configuration using the affine approach which can be considered as the analogon to the Buckling-Concept for spatially/stationary critical zones in linear reactor physics. It sheds some light on the problems, we are confronted with, when we have to deal with nonlinear mathematics in this new field of reactor physics.
Kurzfassung
Wir haben analytisch das Grenzverhalten einer solitären CANDLE-Abbrandwelle in eindimensionaler Geometrie beschrieben indem wir affine Lösungen dergestalt suchten, die die vorgegebenen Grenzwertbedingungen erfüllen. Diese Methode kann als Analogon zum Buckling-Konzept für örtlich stationäre kritische Zonen betrachtet werden. Das Prozedere wirft einiges Licht auf die Probleme, mit denen wir auf diesem neuen Gebiet der nicht-linearen Reaktorphysik in Zukunft konfrontiert sein werden.
References
1 Seifritz, W.: Some Affine Solutions for CANDLE Burn-Up Waves in 1D Geometry, KERNTECHNIK74 (2009) 5–6, pp. 292–297Search in Google Scholar
2 Nettel, S.: Wave Physics, ISBN 3-540-58504-4, Springer Verlag, New York (1995)10.1007/978-3-662-10870-3Search in Google Scholar
3 Zel'dovich, Y. B.; Raizer, Y. P.: Physics of Shock Waves and High Temperature Hydrodynamic Phenomena, Dover Publications INC., Mineola, New York (2002)Search in Google Scholar
© 2010, Carl Hanser Verlag, München
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Articles in the same Issue
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries
- Technical Contributions/Fachbeiträge
- European clearinghouse on nuclear power plants operational experience feedback
- Investigation on primary side oriented accident management measures in a hypothetical station blackout scenario for a VVER-1000 pressurized water reactor
- Heat transfer to the building structures of the Ignalina NPP accident localisation system
- Algorithmic determination of fuel rod cladding burst time at elevated temperatures
- Development of a decommissioning strategy for the MR research reactor
- Neutron transmutation doping conceptual design
- Design optimization of shell-and-tube heat exchangers using single objective and multiobjective particle swarm optimization
- Chebyshev polynomials expansion method for solving the one-dimensional transport equation in spherical geometry
- Heuristic geometric “eigenvalue universality” in a one-dimensional neutron transport problem with anisotropic scattering
- An analytical solution for the one-dimensional time-dependent SN transport equation for bounded and unbounded domains in cartesian geometry
- Accurate critical slab calculations for various degrees of anisotropy and for different reflection coefficients
- Technical Notes/Technische Mitteilungen
- The boundary problem in the 1D-CANDLE burn-up reactor
