Thermal neutron diffusion in an array of plates

Research output: Contribution to journalArticle

Abstract

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
Volume152
Issue number3
StatePublished - Mar 2006

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Neutrons
Scattering
Fluxes
Hot Temperature
Galanin

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

Cite this

Thermal neutron diffusion in an array of plates. / Ganapol, Barry D.

In: Nuclear Science and Engineering, Vol. 152, No. 3, 03.2006, p. 284-291.

Research output: Contribution to journalArticle

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