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UN approximation to critical slab problem for one-speed neutrons with isotropic, forward and backward scattering

H. Öztürk
From the journal Kerntechnik

Abstract

A modified version of the UN method is used to solve the critical slab problem in the case of a combination of forward and backward scattering with isotropic scattering in a uniform finite slab. The Marshak boundary condition is used for the calculation of the critical slab thicknesses and it is shown that the method gives accurate results in one-dimensional geometry and converges rapidly with easily executable equations. The presented numerical results are compared with the results available in literature.

Kurzfassung

UN Approximation zur Lösung des Ein-Gruppen-Transportproblems in kritischen Platten mit isotroper Streuung und Vorwärts- und Rückwärtsstreuung. Eine modifizierte Version der UN Methode wurde verwendet zur Lösung des Ein-Gruppen-Transportproblems in kritischen Platten für den Fall einer Kombination von Vorwärts- und Rückwärtsstreuung mit isotroper Streuung in einer gleichförmigen endlichen Platte. Die Marshak Randbedingungen wurden verwendet für die Berechnung der Dicken der kritischen Platten. Die Methode liefert genaue Ergebnisse für eindimensionale Geometrie und konvergiert schnell mit leicht ausführbaren Gleichungen. Die vorgestellten numerischen Ergebnisse wurden verglichen mit Ergebnissen aus der Literatur.

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Received: 2010-4-26
Published Online: 2013-04-25
Published in Print: 2010-09-01

© 2010, Carl Hanser Verlag, München