Nuclear Technology & Radiation Protection Journal


NT & RP Journal	THE INFLUENCE OF LINEAR ANISOTROPIC SCATTERING OF ONE-SPEED NEUTRONS ON THE CRITICAL SIZE OF A SLAB WITH REFLECTIVE BOUNDARY CONDITIONS
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Vol. XXXII, No. 3, Pp. 193-305 September 2017 UDC 621.039+614.876:504.06 ISSN 1451-3994 Back to Contents	Pages: 236-241 Authors: Hakan Ozturk Abstract 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. Key words: linear anisotropic scattering, Chebyshev polynomial expansion, critical slab, reflective boundary condition FULL PAPER IN PDF FORMAT (219 KB)
Vinča Institute of Nuclear Sciences :: Designed by milas :: July 2007 Operated by acapanic :: Last updated on September, 2017

Pages: 236-241

Authors: Hakan Ozturk

Abstract

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.

Key words: linear anisotropic scattering, Chebyshev polynomial expansion, critical slab,
reflective boundary condition

FULL PAPER IN PDF FORMAT (219 KB)