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Calculation of the higher order eigenvalues for a homogeneous sphere using the FN method

  • C. Yíldíz
Published/Copyright: March 17, 2022
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Kerntechnik
From the journal Kerntechnik Volume 66 Issue 1-2

Abstract

The transport of monoenergetic neutrons in spherical geometry with forward scattering and vacuum boundary conditions is considered. The scaled transport equation is solved using the Fn method by considering the pseudo-slab problem. Numerical results for the fundamental and higher order eigenvalues are presented for several significant figures. Some selected results are compared with those obtained using various methods in the literature. Finally, a few remarks about the behavior of the criticality eigenvalue of the neutron transport equation with forward scattering is given.

Abstract

Untersucht wird der Transport monoenergetischer Neutronen in sphärischer Geometrie. Die Transportgleichung wird mit Hilfe der FN-Methode gelöst. Numerische Ergebnisse für die Eigenwerte höherer Ordnung werden vorgestellt für einige wichtige Fälle. Ausgewöhlte Ergebnisse werden verglichen mit Ergebnissen aus der Literatur, die mit verschiedenen anderen Methoden erhalten wurden. Den Abschluss bilden einige Bemerkungen zum Verhalten des Eigenwertes der Kritikalität der Neutronentransportgleichung mit Vorwärtsstreuung.

Acknowledgments

This research was partially supported by the Istanbul Technical University Research Foundation under grant 1372.

References

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Received: 2000-11-06
Published Online: 2022-03-17

© 2001 Carl Hanser Verlag, München

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  2. Calendar of Events
  3. Calendar of Events • Veranstaltungskalender
  4. Summaries
  5. Summaries/Kurzfassungen
  6. Notes
  7. Richtlinie VDI 3783 Blatt 12. Umweltmeteorologie – Physikalische Modellierung von Strömungs- und Ausbreitungsvorgängen in der atmosphärischen Grenzschicht – Windkanalanwendungen; Hrsg.: VDI Verein Deutscher Ingenieure, Kommission Reinhaltung der Luft (KRdl im VDI und DIN-Normenausschuss), Dezember 2000; 107,60 DM
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  14. Safe Management of the Operating Lifetimes of Nuclear Power Plants
  15. Study of the possibility of high accuracy flow measurements with the pulsed neutron activation method
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  18. Books • Bücher
  19. Monte Carlo analysis of accelerator-driven systems: Studies on spallation neutron yield and energy gain
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  22. An energy amplifier fluidized bed nuclear reactor concept
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https://doi.org/10.1515/kern-2001-0008

Articles in the same Issue

  1. Frontmatter
  2. Calendar of Events
  3. Calendar of Events • Veranstaltungskalender
  4. Summaries
  5. Summaries/Kurzfassungen
  6. Notes
  7. Richtlinie VDI 3783 Blatt 12. Umweltmeteorologie – Physikalische Modellierung von Strömungs- und Ausbreitungsvorgängen in der atmosphärischen Grenzschicht – Windkanalanwendungen; Hrsg.: VDI Verein Deutscher Ingenieure, Kommission Reinhaltung der Luft (KRdl im VDI und DIN-Normenausschuss), Dezember 2000; 107,60 DM
  8. Comparison of plant efficiencies of various power conversion systems for high-temperature reactor modules
  9. Studies on the behaviour of a passive containment cooling system for the Indian Advanced Heavy Water Reactor
  10. Detonation waves in melt-coolant interaction
  11. Experimental study of the transient characteristics of a natural circulation loop under SBLOCA
  12. Calculation of the higher order eigenvalues for a homogeneous sphere using the FN method
  13. Books
  14. Safe Management of the Operating Lifetimes of Nuclear Power Plants
  15. Study of the possibility of high accuracy flow measurements with the pulsed neutron activation method
  16. The astrophysical S-factor for dd-reactions at keV-energy range
  17. Books
  18. Books • Bücher
  19. Monte Carlo analysis of accelerator-driven systems: Studies on spallation neutron yield and energy gain
  20. Subcritical nuclear systems and their stability against changes in the geometrical set-up
  21. Technical Notes
  22. An energy amplifier fluidized bed nuclear reactor concept
  23. An attempt to describe the swelling of U3Si 2 fuel by a simple formula
  24. European Commission initiative to promote technical harmonisation on risk-based decision making
  25. Patent
  26. Notes
  27. Note • Mitteilung
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