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Minimum Critical Mass in Variable Density and Epithermal Reactors

Mathew M. Shapiro

Nuclear Science and Engineering / Volume 10 / Number 2 / June 1961 / Pages 159-162

Technical Paper / dx.doi.org/10.13182/NSE61-A25952

For thermal reactors and those described by two neutron energy groups it is shown that the adjoint fluxes of multigroup diffusion theory can be expressed as linear combinations of the neutron fluxes even when the moderator density is a function of position. For the case of thermal reactors it is shown that minimum critical mass and constant thermal flux in the core are equivalent.