An alternative solution of the neutron diffusion equation in cylindrical symmetry

被引：12
作者：
Dababneh, Saed [1 ,2 ]
Khasawneh, Kafa [1 ]
Odibat, Zaid [1 ]
机构：
[1] Al Balqa Appl Univ, Prince Abdullah Bin Ghazi Fac Sci & IT, Salt 19117, Jordan
[2] Jordan Nucl Regulatory Commiss, Amman 11941, Jordan
来源：
ANNALS OF NUCLEAR ENERGY | 2011年 / 38卷 / 05期
关键词：
Neutron diffusion; Homotopy perturbation method; Flux calculation; Critical system; HOMOTOPY-PERTURBATION METHOD; HEAT-TRANSFER EQUATIONS; NONLINEAR EQUATIONS;
D O I：
10.1016/j.anucene.2010.12.011
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：
Alternative analytical solutions of the neutron diffusion equation for both infinite and finite cylinders of fissile material are formulated using the homotopy perturbation method. Zero flux boundary conditions are investigated on boundary as well as on extrapolated boundary. Numerical results are provided for one-speed fast neutrons in (235)U. The results reveal that the homotopy perturbation method provides an accurate alternative to the Bessel function based solutions for these geometries. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1140 / 1143
页数：4
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