A solution of the neutron diffusion equation for a hemisphere with mixed boundary conditions

被引：9

作者：

Cassell, JS ^{[1
]}

Williams, MMR ^{[1
]}

机构：

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

来源：

ANNALS OF NUCLEAR ENERGY | 2004年 / 31卷 / 17期

关键词：

D O I：

10.1016/j.anucene.2004.04.008

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：

An analytic solution of the diffusion equation for a hemisphere of fissile material is presented with mixed boundary conditions. This allows one to study the bare hemisphere with radiation boundary conditions and also the interaction between two hemispheres with opposing flat faces. Numerical results are given for one-speed fast neutrons in U-235. We also develop the procedure for multigroup calculations. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1987 / 2004

页数：18

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