An application of the Wiener-Hopf method to the one-speed flat-flux problem in a half-space

被引：4

作者：

Cassell, JS

Williams, MMR

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Earth Sci & Engn, London SW7 2BP, England

[2] London Metropolitan Univ, Dept Comp Commun Technol & Math, London EC3N 1JY, England

来源：

ANNALS OF NUCLEAR ENERGY | 2003年 / 30卷 / 13期

关键词：

D O I：

10.1016/S0306-4549(03)00082-3

中图分类号：

TL [原子能技术]; O571 [原子核物理学];

学科分类号：

0827 ; 082701 ;

摘要：

Details of the spatial distribution of the fissile material needed to maintain a flat flux in a half-space in the region tau > 0 are given. The method of Wiener and Hopf is employed to solve the resulting integral equation. In addition to the scalar flux we calculate the angular flux and show that this is not spatially constant in tau > 0, even though the associated scalar flux is constant. As a measure of the anisotropy of the angular flux, we calculate the neutron current in tau > 0 for a range of reflector absorptions and also the angular distribution at the boundary tau = 0. For comparison purposes, the diffusion theory analogue of the problem is given in the Appendix. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：1333 / 1345

页数：13

共 15 条

[1] An application of the Wiener-Hopf method to the one-speed flat-flux problem in a half-space (vol 30, pg 1333, 2003)
Cassell, JS
Williams, MMR
ANNALS OF NUCLEAR ENERGY, 2003, 30 (18) : 1921 - 1921
[2] Radiation and scattering of waves on an elastic half-space; a non-commutative matrix Wiener-Hopf problem
Keele Univ, Staffordshire, United Kingdom
J Mech Phys Solids, 12 (2125-2154):
[3] Radiation and scattering of waves on an elastic half-space; A non-commutative matrix Wiener-Hopf problem
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JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1996, 44 (12) : 2125 - 2154
[4] The flat flux problem in one-speed neutron transport theory
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[5] Application of the Wiener-Hopf technique to the calculation of the diffraction of a cylindrical wave by a soft half-plane embedded in a fluid half-space
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[6] Wave dynamics by a plane wave on a half-space metamaterial made of plasmonic nanospheres: a discrete Wiener-Hopf formulation
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[7] Wiener-Hopf analysis of the elastic wave diffraction by the finite crack located at the plane interface between the elastic isotropic half-space medium
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[8] Wiener-Hopf analysis of the elastic wave diffraction by the finite crack located at the plane interface between the elastic isotropic slab and half-space medium
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DIRECT AND INVERSE PROBLEMS OF ELECTROMAGNETIC AND ACOUSTIC WAVE THEORY, 2004, : 22 - 25
[9] Application of the TN method to critical slab problem for one-speed neutrons with forward and backward scattering
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NUCLEAR ENGINEERING AND DESIGN, 2011, 241 (05) : 1454 - 1458
[10] Application of the UN method to the reflected critical slab problem for one-speed neutrons with forward and backward scattering
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KERNTECHNIK, 2007, 72 (1-2) : 74 - 76

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