Two-Group Critical Problems for Slabs and Spheres in Neutron-Transport Theory
- 1 January 1973
- journal article
- research article
- Published by Taylor & Francis in Nuclear Science and Engineering
- Vol. 50 (1) , 3-9
- https://doi.org/10.13182/nse73-a22582
Abstract
The elementary solutions of the two-group neutron-transport equation are used to solve critical problems for finite slabs and spheres. The half-range orthogonality properties of the basic eigenvectors are used, along with the fundamental H -matrix, to reduce the encountered system of singular integral equations to a system of Fredholm-type equations, and these final equations are solved iteratively to yield accurate predictions of the two-group values of the extrapolated endpoint and critical dimensions for a selected set of slabs and spheres.Keywords
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