Abstract
The results of an investigation concerning the replacement of a lump in a semi-infinite plane square lattice by a lump with different physical properties are given. The lump to be replaced is located near the boundary between the semi-infinite reflector and the lattice. The lattice is considered to be active. This problem is reduced to the Riemann problem on a unit-radius circle in the plane of imaginary numbers, the solution which can be expressed in closed form. No special assumptions were made concerning the character of neutron moderation and diffusion.
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L. Trlifaj and I. Roček, Atomnaya Énergiya,9, No. 5, 366 (1960).
A. D. Galanin, Theory of Thermal Neutron Nuclear Reactors [in Russian] M., Atomizdat, 1959,
F. D. Gakhov, Boundary Problems [in Russian] M., Fizmatgiz, 1958.
A. Trlifaj Atomnaya Énergiya11, No. 3, 221 (1961).
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Trlifaj, L. Replacement of a lattice lump near the reflector. The Soviet Journal of Atomic Energy 12, 309–317 (1962). https://doi.org/10.1007/BF01683242
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DOI: https://doi.org/10.1007/BF01683242