Accession Number : ADA311813

Title :   Conditions for Criticality in Certain Types of Nuclear Reactors,

Corporate Author : TECHNICAL INFORMATION SERVICE (AEC) OAK RIDGE TN

Personal Author(s) : Selengut, D. S.

PDF Url : ADA311813

Report Date : 28 SEP 1950

Pagination or Media Count : 34

Abstract : Integro-differential equation describing the diffusion of neutrons in a multiplying medium is studied under the assumption of plane geometry and linearly anisotropic scattering, but without the usual limitation to continuous slowing down and weak absorption. Under the condition that the integrated flux vanish at the boundary it is shown that a separable solution exists. The relation between core size and the number of neutrons required per fission for a steady state is determined. The results are specialized to the case of isotropic scattering in the laboratory system, and to the case of a medium containing hydrogen and an element which scatters without energy loss.

Descriptors :   *NEUTRON SCATTERING, *REACTOR CRITICALITY, STEADY STATE, FLUX(RATE), HYDROGEN, ANISOTROPY, DIFFERENTIAL EQUATIONS, LOSSES, DIFFUSION, NUCLEAR REACTORS, INTEGRAL EQUATIONS, FISSION, NEUTRON ABSORPTION, REACTOR THEORY.

Subject Categories : Fission Reactor Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE