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September 8–11, 2025
Atlanta, GA|Atlanta Marriott Marquis
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E. Kujawski, R. Protsik
Nuclear Technology | Volume 41 | Number 1 | November 1978 | Pages 36-45
Technical Paper | Reactor | doi.org/10.13182/NT78-A32131
Articles are hosted by Taylor and Francis Online.
A practical method for self-shielding resonance cross sections for fast reactors with complex heterogeneity results in a multiregion equivalence relation that is identical in appearance to the conventional two-region equivalence relation. The effects of heterogeneity are accounted for in terms of material- and region-dependent escape cross sections. The escape cross sections are explicitly given in terms of the first-flight collision probabilities or transport coefficient. The formulation is well suited for use with the shielding factor method. A detailed validation of the heterogeneity calculations with the proposed formulation has been carried out for plate-type cells, and good agreement with Monte Carlo results has been obtained. Sensitivity studies were performed to compare the proposed multiregion heterogeneity treatment with conventional two-region treatments. The results suggest that it may be important to self-shield explicitly and heterogeneously all the fuel and structural materials in the analysis of fast critical assemblies.