Accessible Requires Authentication Published by De Gruyter December 9, 2017

The critical slab problem for pure-triplet anisotropic scattering by singular eigenfunction method

R. G. Türeci and D. Türeci
From the journal Kerntechnik

Abstract

The infinite medium Green function can be written by using the jump condition, found Case's eigenfunctions. Thus, any reactor theory problem which is inplane geometry such the criticality problem as can be investigated by using the proper boundary conditions and suggested flux definitions. By using the criticality equation the critical thicknesses can be calculated as numerically. The selected numerical results can be tabulated.


* Corresponding author: E-mail:

References

1 Case, K. M.; Zweifel, P. F.: Linear Transport Theory. Massachusetts: Addition-Wesley (1967) Search in Google Scholar

2 Mika, J.: Neutron transport with anisotropic scattering. Nuclear Science and Engineering11 (1961) 415 Search in Google Scholar

3 Kavenoky, A.: The CN Method of Solving the Transport Equation: Application to Plane Geometry. Nuclear Science and Engineering65 (1978) 209 Search in Google Scholar

4 McCormickN. J.; Kuscer, I.: Singular Eigenfunction Expansions in Neutron Transport Theory. Advances in Nuclear Science and Technology 7Academic Press, NY (1973) Search in Google Scholar

5 Erdoğan, F.; Güleçyüz, M. Ç.; Kaşkaş, A.; Tezcan, C.: Solution of the C-N equations using singular eigenfunctions and applications. Ann Nucl Energy23 (1996) 533541 Search in Google Scholar

6 Tezcan, C.: Third form of the transport equation for extremely anisotropic scattering kernel. JQSRT55 (1996) 3340 Search in Google Scholar

7 Kaşkaş, A.; Tezcan, C.; Gülçeyüz, M. Ç.: The solution of the third form transport equation using singular eigenfunctions: the slab and the sphere criticality problems. JQSRT66(6)519528 Search in Google Scholar

8 Türeci, R. G.: The Albedo problem for pure-triplet scattering. Kerntechnik72 (2007) 290 Search in Google Scholar

9 Türeci, R. G.: Solving the criticality problem with the reflected boundary condition for the pure-triplet anisotropic scattering with the modified FN method. Kerntechnik80 (2015) 58359110.3139/124.110563 Search in Google Scholar

Received: 2017-03-23
Published Online: 2017-12-09
Published in Print: 2017-12-18

© 2017, Carl Hanser Verlag, München