Space-Dependent Effects in the Response of a Nuclear Reactor to Forced Oscillations

Solution of the space-time dependent neutron kinetics equations for a reflected slab reactor

“…The reactor model for this investigation is a reflected reactor and is the same system as was used by Loewe (8). The width of the fuel region is 37 cm and the semi-infinite slab reflectors have a width of 15 cm.…”

Solution of space-time kinetic equations for coupled-core nuclear reactors

“…Another method for solving reactor kinetic equations that has been applied previously (27) The reactor shown in Figure 1 will now be analyzed using this method and assuming the kinetics of the reactor are described by the equation Hence, the solution for the time coefficients is T^(t) = Wlc'-kv® k=l (28) Figure 1 is to be determined using the technique just described and assuming that the kinetics of the reactor are described by one-group diffusion theory, excluding delayed neutrons. …”

Green's function formulation of Laplace transformed multigroup diffusion equations

“…As may be seen in Table 1, the fast neutron absorption cross section is taken to be zero and all fissions are assumed to occur in the thermal group with the fission neutrons enter ing the fast group. This model was used previously by Loewe (15) and later by McFadden (10). The original intention was to consider the same perturbations as the latter and compare results along with those obtained from WIGLE-40.…”