Expansion About a Local Maxwellian for Evaluating the Spatially Dependent Neutron Spectrum

摘要

The problem of the spatial variation of thermal neutron fluxes is investigated in the framework of energy-dependent diffusion theory, with the aim of reaching practical solutions for application in reactor physics. Neutron flux is expanded here in terms of Laguerre polynomials in energy, weighted with a local Maxwellian distribution in which the neutron temperature depends on the space variable. The method proposed is applied to the diffusion of thermal neutrons in moderating systems with a non-uniform temperature profile. (Atomindex citation 09:392215)