Conditions for Criticality in Certain Types of Nuclear Reactors,
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 28, 1950
- Accession Number
- ADA311813
Entities
People
- D. S. Selengut
Organizations
- Oak Ridge National Laboratory