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RESONANCE ABSORPTION IN A SLAB WITH A PARABOLIC TEMPERATURE DISTRIBUTION

Technical Report ·
OSTI ID:4264395
The idealized problem of a plane beam of neutrons impinging on a slab of U/sup 238/, across which the temperature has a parabolic distribution with a maximum at the center of the slab, is investigated. The calculations are based upon a simplified model of the U/sup 238/, resonance structure, and scattering in the material is neglected. It is concluded that, for a 1/E spectrum of incident neutrons, the resonance absorption will be the same as when the slab is at a uniform temperature which differs from the arithmetic mean of the parabolic distribution by less than 8% of the difference between the maximum and minimum temperatures. (auth)
Research Organization:
United Kingdom Atomic Energy Authority. Research Group. Atomic Energy Research Establishment, Harwell, Berks, England
NSA Number:
NSA-13-003937
OSTI ID:
4264395
Report Number(s):
AERE-R/M-198; NPCC/RPWP/P-148
Country of Publication:
United Kingdom
Language:
English

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