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HN solutions of the time dependent linear neutron transport equation for a slab and a sphere

  • G. Türeci , M. C. Güleçyüz and C. Tezcan
Published/Copyright: April 6, 2013
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Abstract

The HN method is used to calculate the time eigenvalues in one speed neutron transport theory for a slab and a sphere with given boundary conditions. The angular distribution of the method of elementary solutions and the orthogonality relations of the singular eigenfunctions are used. Calculations are performed considering both the angular and the incoming angular distributions at the boundaries of the given medium. Numerical values are compared with the data available in literature.

Kurzfassung

Mit Hilfe der HN-Methode werden in ebener und sphärischer Geometrie die Zeiteigenwerte in der Eingruppen-Neutronentransporttheorie unter gegebenen Randbedingungen berechnet. Dies wird ausgeführt unter Verwendung der Methode elementarer Lösungen und der Orthogonalitätsbeziehungen für singuläre Eigenfunktionen sowie unter Berücksichtigung der Winkelverteilungen an den Grenzen des gegebenen Mediums. Die numerischen Werte werden verglichen mit den in der Literatur verfügbaren Daten.

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Received: 2006-12-21
Published Online: 2013-04-06
Published in Print: 2007-03-01

© 2007, Carl Hanser Verlag, München

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