Open AccessThe influence of linear anisotropic scattering of one-speed neutrons on the critical size of a slab with reflective boundary conditions
Author(s) -
Hakan Öztürk
Publication year - 2017
Publication title -
nuclear technology and radiation protection
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.31
H-Index - 16
eISSN - 1452-8185
pISSN - 1451-3994
DOI - 10.2298/ntrp1703236o
Subject(s) - neutron , slab , neutron transport , neutron flux , physics , anisotropy , scattering , optics , chebyshev polynomials , reflection coefficient , reflection (computer programming) , reflector (photography) , boundary value problem , computational physics , boundary (topology) , neutron scattering , mathematical analysis , nuclear physics , mathematics , quantum mechanics , geophysics , light source , computer science , programming language
The criticality problem for one-speed neutrons in a slab is investigated using Chebyshev polynomials of first kind in the series expansion of the neutron angular flux in stationary neutron transport equation. The medium is assumed to let the neutrons to scatter anisotropically and to be surrounded by a reflector. The critical thicknesses for the neutrons in a uniform finite slab are computed for selected values of the reflection coefficient and the anisotropy parameter and they are given in the tables. The numerical results obtained from the present method are in good accordance with the results already existed in literature.