Abstract
This paper presents a method of calculating the effectiveness of a partially inserted absorbing, cylindrical control rod in a reactor without a reflector. The method makes it possible to give a comparatively simple estimate of the distortion of the neutron flux density near the control rod. The calculations are made using the one group equation Δϑ + B2ϑ = 0, with special boundary conditions on the surface of the rod. As an example of the use of the method, the values of B2 and the corresponding flux distributions ϑ have been calculated for several positions of the rod in the reactor.
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Literature cited
B. Davison, Proc. Phys. Soc.64A, 881 (1951).
Reactor Physics Constants, ANL-5800, 1958, p. 189.
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We wish to thank R. Zezula, I. Svatosh, and M. Prazhskaya for carrying out the numerical calculations. particularly great initiative was shown by R. Zezula, who also calculated the tables of the function Zk'(a. B2)/Zk(a, B2) on the electronic BÉSM setup in the Calculational Center of the Academy of Sciences of the USSR.
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Čermák, J., Trlifaj, L. The effect of a partially inserted absorbing control rod on the neutron flux density distribution. The Soviet Journal of Atomic Energy 9, 1010–1016 (1961). https://doi.org/10.1007/BF01487461
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DOI: https://doi.org/10.1007/BF01487461