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U.S. Department of Energy
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VALIDITY OF DIFFUSION THEORY FOR SHIELDING ANALYSIS

Technical Report ·
OSTI ID:4172382
The errors involved in the case of diffusion theory for handling one- velocity problems, as opposed to the more exact transport theory, were studied. Determinations of flux, given a distributed source, and of particle transmissions through finite regions were made. In each instance, transport theory solutions were obtained and compared with diffusion theory for various values of scattering- tototal cross section ratio and for various degrees of scattering anisotropy. Three types of problems were studied. An infinite medium with a source that varied sinusoidally with the single space coordinate y, a source which varied exponentially with the single space coordinate y in an infinite medium, and transmission of neutrons through finite slabs. Detailed discussions and tabulations were made for evaluation of diffusion theory. (M.C.G.)
Research Organization:
Nuclear Development Corp. of America, White Plains, N.Y.
NSA Number:
NSA-14-018543
OSTI ID:
4172382
Report Number(s):
NDA-2130-2
Country of Publication:
United States
Language:
English

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