An Analytic Approach to Two-Dimensional Reactor Theory

An analytic method has been developed for the solution of the two-group diffusion equations in a two-dimensional fully reflected reactor. The particular reactor configuration studied is a rectangular core surrounded by a rectilinear reflector, that is, a rectangle within a symmetrically located rectangle. The method involves expansions of each of the fluxes in a double series of eigen-functions valid over the entire reactor.