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- Title
THE EIGENVALUES OF ONE-SPEED NEUTRONS IN A SLAB WITH FORWARD AND BACKWARD SCATTERING.
- Authors
EGE, Ökkeş; ÖZTÜRK, Hakan
- Abstract
The eigenvalue spectrum is studied for one-speed neutrons in a slab with forward and backward scattering. First, the transport equation describing the interaction of neutrons in a system with general geometry is given. Then, the scattering function in transport equation is chosen as the forward-backward-isotropic (FBI) scattering model. The resultant transport equation is solved using the Legendre polynomials expansion (PN method) and the Chebyshev polynomials of second kind expansion (UN method) in neutron angular flux. Then, the PN and UN moments of the equations are obtained using the properties of the Legendre and the Chebyshev polynomials of the second kind. Finally, the eigenvalues for various values of the collision and scattering parameters are calculated using different orders of the presented methods and they are given in the tables for comparison.
- Subjects
TRANSPORT theory; NEUTRON transport theory; NEUTRONS; SCATTERING (Mathematics); EIGENVALUES; CHEBYSHEV polynomials; NEUTRON flux
- Publication
Technical Journal / Tehnički Glasnik, 2019, Vol 13, Issue 2, p81
- ISSN
1846-6168
- Publication type
Article
- DOI
10.31803/tg-20180116174952