One-speed neutron transport eigenvalues for reflected slabs and spheres
Journal Article
·
· Nuclear Science and Engineering; (United States)
OSTI ID:5183790
- Chalmers Univ. of Tech., Goeteborg (Sweden). Dept. of Reactor Physics
The monoenergetic transport equation with isotropic scattering and vacuum boundary conditions is applied to two-media spherical and plane systems. The mean-free-path is assumed to be the same even though the multiplication factors are different in both media. The two coupled integral equations that are obtained are numerically solved using the spatial Legendre polynomial method (Carlvik's method). Seven or more eigenvalues for various dimensions of the bodies are given, and the first five flux modes for some cases are plotted. In addition, for homogeneous systems, this paper presents more accurate and higher eigenvalues than those thus far known.
- OSTI ID:
- 5183790
- Journal Information:
- Nuclear Science and Engineering; (United States), Journal Name: Nuclear Science and Engineering; (United States) Vol. 107:4; ISSN 0029-5639; ISSN NSENA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
22 GENERAL STUDIES OF NUCLEAR REACTORS
220100 -- Nuclear Reactor Technology-- Theory & Calculation
654003* -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
EIGENVALUES
EQUATIONS
FUEL ELEMENTS
FUEL SPHERES
FUNCTIONS
LEGENDRE POLYNOMIALS
NEUTRAL-PARTICLE TRANSPORT
NEUTRON TRANSPORT
POLYNOMIALS
RADIATION TRANSPORT
REACTOR COMPONENTS
REACTOR KINETICS EQUATIONS
SLABS
220100 -- Nuclear Reactor Technology-- Theory & Calculation
654003* -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
EIGENVALUES
EQUATIONS
FUEL ELEMENTS
FUEL SPHERES
FUNCTIONS
LEGENDRE POLYNOMIALS
NEUTRAL-PARTICLE TRANSPORT
NEUTRON TRANSPORT
POLYNOMIALS
RADIATION TRANSPORT
REACTOR COMPONENTS
REACTOR KINETICS EQUATIONS
SLABS