Electric circuit models of the nuclear reactor

A series of equivalent circuits are established for the partial differential equations representing the diffusion of neutrons in a reactor. One-, two-, and three-dimensional spatial models, valid for all curvilinear orthogonal reference frames, are given first for monoenergetic neutrons. The presence of variable-energy neutrons is represented next by the appearance of a fourth dimension. Variation of neutron density in time is also considered along an extra fifth dimension. Circuit models with arbitrary shapes and with tens of thousands of net points may now be solved quickly and efficiently with the aid of digital computers by the recently developed tensorial method of tearing the model apart into smaller parts and solving each part separately. The effect of movable and variable control fixtures in the reactor, also a variation in composition, may now be considered without repeating the solutions arrived at for the rest of the reactor.