Published June 1990
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Eigenvalue spectrum of infinite, two-region slab lattices for one-speed neutrons
Description
The monoenergetic transport equation with isotropic scattering is applied to an infinite, two-medium slab lattice. The two coupled integral equations that are derived are numerically solved using the spatial Legendre expansion method (Carlvik's method). Tables of seven or more eigenvalues for various dimensions of the bodies are given and the first 4 flux modes for some cases are plotted. In addition, simple approximation formulae for very high-order eigenvalues are derived and compared to the accurate results. (authors)
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Additional details
Publishing Information
- Imprint Pagination
- 38 p.
- Report number
- CTH-RF--70
INIS
- Country of Publication
- Sweden
- Country of Input or Organization
- Sweden
- INIS RN
- 21089070
- Subject category
- S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
- Descriptors DEI
- BOLTZMANN EQUATION; EIGENVALUES; INTEGRAL EQUATIONS; NEUTRON TRANSPORT THEORY; NUMERICAL SOLUTION; SLABS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; TRANSPORT THEORY