Thermal neutron diffusion in an array of plates

Research output: Contribution to journalArticlepeer-review


The exact solution to the diffusion equation for thermal neutrons emitted into an infinite medium containing absorbing and scattering plates is obtained. A fully explicit analytical representation is found through the solution of the resulting recurrence relation for the interfacial fluxes. Departure from Galanin's theory, which assumes infinitesimally thin absorbing plates, is demonstrated with increasing absorber thickness and decreasing diffusion coefficient.

Original languageEnglish (US)
Pages (from-to)284-291
Number of pages8
JournalNuclear Science and Engineering
Issue number3
StatePublished - Mar 2006

ASJC Scopus subject areas

  • Nuclear Energy and Engineering


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